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Dr.Ir. J.A.E. ten Veldhuis CIE4491 Fundamentals of Urban Drainage Design Assignment Poptahof February 2013
Transcript
Page 1: Design assignment poptahof

DrI

r J

AE

ten

Vel

dhui

s

CIE4491 Fundamentals of Urban Drainage

Design Assignment Poptahof

February 2013

2

CIE4491 Fundamentals of Urban Drainage

Table of Contents

1 The Assignment 411 Introduction 412 Design requirements 413 Preliminary design 414 Detailed design manual calculation 415 Detailed design hydrodynamic computer model calculations 516 Evaluation of design calculations 517 Final report 5

2 Project Description 621 Project Area 622 Catchment area and characteristics 623 Surface Water 724 Ground levels and ground water levels 725 Pumping station 726 Drinking water consumption 727 Specificdesignrequirements 728 Intensity Duration Frequency Curves 8

3 Calculations 931 Wastewaterproduction(dryweatherflow) 932 Stormwater discharge 933 The catchment areas 1234 Hydraulic calculations 1335 Designoftheoverflowconstruction 14

4 Layout and Design 1541 The preliminary layout 1542 Dimensioning of the sewer sections 1543 Final layout 15

5 Hydrodynamic modelling of sewer systems 1851 SOBEK workshop 1852 SOBEK modeling in design assignment 1853 Reporting of hydraulic modelling results 19 Appendix 20

3

Design Assignment Poptahof

CIE4491 Fundamentals of Urban Drainage

Design Assignment

Responsible chair Urban DrainagePrincipal tutor DrIr JAE ten Veldhuis

E-Mail JAEtenVeldhuisTUDelftnlRoom HG 465

Case PoptahofDesign objective Ensuring a proper urban drainage situation in a new or

redevelopment area by designing an efficient and robustsystem for collection and transport of wastewater and storm water and for control of groundwater levels taking into account environmental social and economic requirements

Learning objectives After successful finishing of the design assignment the student should be able to - apply acquired knowledge and skills to design an urban

drainage system for a new or a redenotvelopment area - make manual design calculations for an urban drainage

system based on population data rainfall data urban characteristics and application of the Rational method

- make design calculations for an urban drainage system using a hydrodynamic computer model

- check performance of an urban drainage system under varying conditions of rainfall input and degradation of the underground network

- write a comprehensible report about the design process thatexplainsthechoicesmadeclarifiesdesigncalcula-tionsandpresentsthefinaloutcomes

4

CIE4491 Fundamentals of Urban Drainage

1 The Assignment

11 Introduction

This design assignment is an integral part of the MSc course on Fundamentals of Urban Drainage (CIE4491)Thelectureseriesofthiscourseaimtoprovidethestudentwiththenecessarytheoreticalbackground to design and analyse an urban drainage system The acquired theoretical knowledge will be applied in the assignment by designing an urban drainage system for a realistic case based on real-life data The student chooses one out of three cases that have been selected in the city of Delft the lsquoWesterkwartierrsquo residential area the Olofsbuurt residential area and the lsquoPoptahofrsquo commercial centre and surrounding redevelopment area

Theworkloadforthedesignassignmentisanestimated56hours(2ECTS)Thedesignprocessfollowsfivebasicsteps - preparation of a detailed list of design requirements for the urban drainage system including an ac-ceptablereturnperiodfortheoccurrenceofflooding

- preliminary design draft layouts of the wastewater and stormwater systems (or of the combined system)andcalculationofdesignparameters(wastewaterandstormwaterflows)

- detaileddesignoftheurbandrainagesystemmanualcalculationfinallayoutanddimensioningofthe wastewater collection system and of the stormwater system applying the rational method

- hydrodynamic model calculations using Sobek software analysis of calculation results for various rainfall inputs and conditions of the underground network

- reporting of the design steps and results

12 Design requirement

A detailed list of design requirements must be prepared that will serve as a starting point for the design of the urban drainage system Design requirements and criteria stated in this manual (see also ap-pendix)shouldbetakenintoconsiderationandchoicesinthedesignshouldbejustifiedinthedesignreportFurthermoreadditionalbasicdatarequiredforthedesignmaybecollectedinthefieldortakenfrom textbooks

Therequiredreturnperiodforfloodingistobedecideduponbythestudentthechosenreturnperiodmustbemotivatedinthefinaldesignreport

13 Preliminary design

Thestudentwillfirstprepareapreliminarydesignforthegivendesignsituationtakingintoaccountdesignrequirementsandaspectssuchasresnottorationofnaturalwaterflowsandminimumenergycon-sumption The preliminary design includes a description of system principles and main components and a draft lay-out on the map of the case study area

Designparameterswillalsobecalculatedinthisstepinparticularvalueswillbequantifiedforwaste-waterflowsandstormwaterflowsThelatterwillbebasedonrealisticestimatesofrunoffparametersand application of the rational method

The preliminary design will be discussed with one of the supervisors in week 3 of the course (see also coursescheduleonBB)

5

Design Assignment Poptahof

14 Detailed design manual calculation

Adetaileddesignwillbedeveloped includingafinal layoutoftheurbandrainagenetworkdimen-sions of sewer pipes channels and other facilities Hydraulic calculations will be done to check that no floodingoccursinthedesignedsystemforrainfallconditionsassociatedwiththechosenreturnperiod

15 Detailed design hydrodynamic computer model calculations

Thestudentwilldevelopamodelofthedesignedstormwater(orcombined)systeminSobekVarioushydrodynamic calculations will be made to check the design and compare performance of the system under varying rainfall conditions and varying conditions of network as a result of degradation Results of Sobek model calculations The design calculations will be discussed with one of the supervisors in week6ofthecourseperiod(seecourseschedule)

16 Evaluation of design calculations

The results of manual design calculations and of the hydrodynamic model calculations will be analysed anddiscussedinthefinalreportTopicstoincludeinthediscussionaredifferencesbetweenstationaryand dynamic rainfall input differences between degradation conditions and assumptions made with regardtoRationalmethodcalculationsandSobekmodelinput(infiltrationrunoffcoefficientsrough-nessfactoretc)

17 Final report

Theendproductofthedesignassignmentisafinaldesignreportandapostersummarisingmainchar-acteristics and results of the design The poster will presented and discussed during a mini-symposium taking place at the end of the course period

Thefinalreportshouldatleastincludethefollowingitems - list of design requirements and criteria with respect to the future situation - motivated choice of a return period to be applied for the design calculations - calculation of design parameters needed for the design (wastewater production distribution of catchmentareasrunoffparametersstormwaterflows)

- layout of the designed system on the city map including main wastewater and stormwater pipes andorchannelslocationofthepumpingstationforwastewaterlocationofoutflowsoroverflowstosurfacewaterlocationsforstormwaterstoragedirectionofflowinthepipesunderdesignrainfallconditions(forstationaryrainfall)indicationofsurfaceareasconnectedtothestormwaterpipesorchannels

- designcalculationsfordimensionsofthesystem(egpipediameters)hydrauliccalculationsforthemanual design

- results of Sobek calculations - discussion of results for the manual and hydrodynamic computer calculations for the detailed design anddiscussionofpossiblefloodingandcapacityproblems

- conclusions and recommendations

6

CIE4491 Fundamentals of Urban Drainage

2 Poptahof

21 Project Area

The Poptahof area is the area bounded by the Provincialeweg on the west side the Westlandseweg on thenorthsidethePapsouwselaanontheeastsideandtheMartinusNijhofflaanonthesouthsideseefigure1

This area consists of mainly high rise residential buildings and a shopping mall all form the 1950rsquos and iscurrentlybeingredevelopedIntheredevelopmentplansseefigure2theoldresidentialbuildingswill be replaced by 8 new high rise residential buildings and the shopping mall will be extended with more shops and a level of apartments on top of the current shops The renewed Poptahof area will have around 1100 living units

The main challenge in urban drainage for the new Poptahof area will be to deal with stormwater from large impermeable areas of roofs the shopping centre and roads Furthermore a solution has to be foundforthepollutedwaterfromthetramlineonthePapsouwselaanandtheMartinusNijhofflaan

22 Catchment area and characteristics

Thecatchmentconsistsofimperviousareas(ieroofsandstreets)greenareasandsurfacewatersThelocations and dimensions of surface water areas can be if desired a part of the design as the area is still in development The green areas have a clay top layer with a small permeability This has to be tak-enintoaccountwhenconsideringtheimperviousandpervioussurfacesinthisareaThemapinfigure2alreadygivesanideaofthesizeof(im)pervioussurfacesinthePoptahofareaadetailedmapwithallimperviousandperviousareascanbefoundonblackboard(filenamelsquocatchmentcharacteristicsdwgrsquo)

Another important characteristic of this area is the pressure main from the Zuidplantsoen pumping sta-tion which crosses the area right through the middle An indication of its location is given by the blue line infigure1AdetaileddrawingofthispressuremainisgiveninanAutocadfileonblackboard(lsquopressuremainpoptahofdwgrsquo)

Figure 1 Poptahofprojectarea(SourceGoogleMaps) Figure 2 Plan of the renewed Poptahof area

7

Design Assignment Poptahof

23 Surface Water

The Poptahof area is part of the Krakeelpolder with a target water level at NAP -150 m and a maximum water level variation of 040 m above target level

24 Ground levels and ground water levels

GroundlevelscanbefoundintheAutocadfileasprovidedonblackboard(lsquopoptahofdwgrsquo)Inthisfilethegroundlevelsaregivennexttothemanholes(G-numbersinfile)

In this area groundwater levels have been monitored at Poptahof Noord 194 A graph showing the groundwaterfluctuationsisgiveninfigure3

25 Pumping station

Wastewater has to be transported to the Krakeelpolder pumping station which has a capacity of 0142m3sItcanbeassumedthatthepumpingstationcapacityissufficienttoreceivewaterfromthePoptahof area

26 Drinking water consumption

For the calculation of the wastewater production it can be assumed that the water consumption per inhabitant is 140 litres per day which are consumed over a period of 10 hours The amount of water loss per inhabitant is 20 liters per day

The businesses in the shopping mall have an annual water consumption of about 3600 m3 the Toren-hove has a water consumption of about 1800 m3

27 Specific design requirements

- Theavailable capacity for storageof stormwater that falls on theareaneeds tobe sufficient tostorageatleast36mmofrainfall(equivalenttothevolumeofaT=10yrsstorm)Thiscapacityisneeded to store stormwater before it is being transported out of the area to prevent overloading of downstream areas during heavy rainfall

- Flooding frequency needs to be brought down to at least once per 2 years - A pressure main from the Zuidplantsoen pumping station crosses the area the situation of the pres-suremainmustbetakenintoaccountinthedesignofthelongitudinalprofileofthesewersystems(seeAutocadfilelsquopressuremainpoptahofdwgrsquoformoredetails)

- Stormwater runoff from the tramline cannot be directly discharged to surface water it needs to undergo some kind of treatment

Figure 3 2 years series of groundwater levels at the Poptahof Noord 194

8

CIE4491 Fundamentals of Urban Drainage

28 Intensity Duration Frequency Curves

The sewage system needs to be designed for a certain return period of rainfall which is decided upon bythedesignerCorrespondingrainfallintensitiesaretobederivedfromtheIDF-curves(seeChapter3)

Figure 4 Phases in the redevelopment of the area

9

Design Assignment Poptahof

3 Calculations

31 Wastewater production (dry weather flow)

The wastewater production can be calculated based on the number of inhabitants and the drinking waterconsumptiontakingintoconsiderationwaterlossesandpossibleinfiltrationofgroundwaterTheurban drinking water consumption comprises both domestic and industrial usage Water losses (leak-age)intoundergroundpipesoccurwhendrinkingwaterdoesnotendupinthesewagesystemegwater used to wash cars or to water the garden

The wastewater production is subject to a diurnal pattern as can be seen in Figure 4 In order to ac-count for this effect a so-called peak factor can be estimated as

av

25p 15

Q= + (1)

withp = peak factorQav = average daily waste water production in ls

peak factor

av

25p 15Q

= +

withp = peak factorQav= average waste water production in ls

Using table B2 in appendix B the wastewater production can be determined for the design of the sewage system

Figure 4 Wastewater production in 24 hours

34 Storm water quantities

The precipitation data is based on measurements in Lelystad from 1970 through 1984 Based on these measurements partial series have been derived for rain periods of 5 15 30 60 and 120 minutes The sewage system needs to be designed for the transportation of an amount of water that has a certain return period for example once every year or once every two years (see sect 36 for further information)

Not all water is actually being discharged towards the sewage system Storm water that falls at unpaved areas such as public gardens private gardens etc is supposed to infiltrate into the ground Water that falls at paved areas such as roofs and roads is supposed to fully flow into the sewage system The per-centage of water that flows into the sewage system therefore depends upon the percentage of paved area in a neighbourhood often expressed as a run-off coefficient between 0 and 1 (0=100 unpaved 1=100 paved)

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sec-tions situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system For more complex systems computer modelling software has been developed (eg Sobek Infoworks) The following relation between discharge and rain intensity is assumed

n

n m mm 1

Q i ( F )=

= times ψ timessumwithQn = the discharge in the system at a location with n upstream sections in lsi = the precipitation intensity in l(sha)Ψm = the run-off coefficient of the catchment area that discharges towards sewer section m

8

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Qav

Figure 4 Typical diurnal pattern of wastewater production

Alternatively it is often assumed that the daily wastewater production takes place within ten hours of the day This is equivalent to a peak factor of p = 24

32 Stormwater discharge

Generation of stormwater discharge depends on the characteristics of the runoff surface Stormwater thatfallsonperviousareassuchaspublicgardensprivategardensetcisassumedtoinfiltrateintothe ground Water that falls on impervious areas such as roofs and roads largely runs off to a sewer systemThepercentageofwaterthatflowsintothesewagesystemthereforedependsupontheper-centageofimperviousareainaneighbourhoodoftenexpressedasarun-offcoefficientbetween0and1(0=100pervious1=100impervious)

Rational Method

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sections situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system Formorecomplexsystemscomputermodellingsoftwarehasbeendeveloped(egSobekInfoworks)The following relation between discharge and rain intensity is assumed

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 2: Design assignment poptahof

2

CIE4491 Fundamentals of Urban Drainage

Table of Contents

1 The Assignment 411 Introduction 412 Design requirements 413 Preliminary design 414 Detailed design manual calculation 415 Detailed design hydrodynamic computer model calculations 516 Evaluation of design calculations 517 Final report 5

2 Project Description 621 Project Area 622 Catchment area and characteristics 623 Surface Water 724 Ground levels and ground water levels 725 Pumping station 726 Drinking water consumption 727 Specificdesignrequirements 728 Intensity Duration Frequency Curves 8

3 Calculations 931 Wastewaterproduction(dryweatherflow) 932 Stormwater discharge 933 The catchment areas 1234 Hydraulic calculations 1335 Designoftheoverflowconstruction 14

4 Layout and Design 1541 The preliminary layout 1542 Dimensioning of the sewer sections 1543 Final layout 15

5 Hydrodynamic modelling of sewer systems 1851 SOBEK workshop 1852 SOBEK modeling in design assignment 1853 Reporting of hydraulic modelling results 19 Appendix 20

3

Design Assignment Poptahof

CIE4491 Fundamentals of Urban Drainage

Design Assignment

Responsible chair Urban DrainagePrincipal tutor DrIr JAE ten Veldhuis

E-Mail JAEtenVeldhuisTUDelftnlRoom HG 465

Case PoptahofDesign objective Ensuring a proper urban drainage situation in a new or

redevelopment area by designing an efficient and robustsystem for collection and transport of wastewater and storm water and for control of groundwater levels taking into account environmental social and economic requirements

Learning objectives After successful finishing of the design assignment the student should be able to - apply acquired knowledge and skills to design an urban

drainage system for a new or a redenotvelopment area - make manual design calculations for an urban drainage

system based on population data rainfall data urban characteristics and application of the Rational method

- make design calculations for an urban drainage system using a hydrodynamic computer model

- check performance of an urban drainage system under varying conditions of rainfall input and degradation of the underground network

- write a comprehensible report about the design process thatexplainsthechoicesmadeclarifiesdesigncalcula-tionsandpresentsthefinaloutcomes

4

CIE4491 Fundamentals of Urban Drainage

1 The Assignment

11 Introduction

This design assignment is an integral part of the MSc course on Fundamentals of Urban Drainage (CIE4491)Thelectureseriesofthiscourseaimtoprovidethestudentwiththenecessarytheoreticalbackground to design and analyse an urban drainage system The acquired theoretical knowledge will be applied in the assignment by designing an urban drainage system for a realistic case based on real-life data The student chooses one out of three cases that have been selected in the city of Delft the lsquoWesterkwartierrsquo residential area the Olofsbuurt residential area and the lsquoPoptahofrsquo commercial centre and surrounding redevelopment area

Theworkloadforthedesignassignmentisanestimated56hours(2ECTS)Thedesignprocessfollowsfivebasicsteps - preparation of a detailed list of design requirements for the urban drainage system including an ac-ceptablereturnperiodfortheoccurrenceofflooding

- preliminary design draft layouts of the wastewater and stormwater systems (or of the combined system)andcalculationofdesignparameters(wastewaterandstormwaterflows)

- detaileddesignoftheurbandrainagesystemmanualcalculationfinallayoutanddimensioningofthe wastewater collection system and of the stormwater system applying the rational method

- hydrodynamic model calculations using Sobek software analysis of calculation results for various rainfall inputs and conditions of the underground network

- reporting of the design steps and results

12 Design requirement

A detailed list of design requirements must be prepared that will serve as a starting point for the design of the urban drainage system Design requirements and criteria stated in this manual (see also ap-pendix)shouldbetakenintoconsiderationandchoicesinthedesignshouldbejustifiedinthedesignreportFurthermoreadditionalbasicdatarequiredforthedesignmaybecollectedinthefieldortakenfrom textbooks

Therequiredreturnperiodforfloodingistobedecideduponbythestudentthechosenreturnperiodmustbemotivatedinthefinaldesignreport

13 Preliminary design

Thestudentwillfirstprepareapreliminarydesignforthegivendesignsituationtakingintoaccountdesignrequirementsandaspectssuchasresnottorationofnaturalwaterflowsandminimumenergycon-sumption The preliminary design includes a description of system principles and main components and a draft lay-out on the map of the case study area

Designparameterswillalsobecalculatedinthisstepinparticularvalueswillbequantifiedforwaste-waterflowsandstormwaterflowsThelatterwillbebasedonrealisticestimatesofrunoffparametersand application of the rational method

The preliminary design will be discussed with one of the supervisors in week 3 of the course (see also coursescheduleonBB)

5

Design Assignment Poptahof

14 Detailed design manual calculation

Adetaileddesignwillbedeveloped includingafinal layoutoftheurbandrainagenetworkdimen-sions of sewer pipes channels and other facilities Hydraulic calculations will be done to check that no floodingoccursinthedesignedsystemforrainfallconditionsassociatedwiththechosenreturnperiod

15 Detailed design hydrodynamic computer model calculations

Thestudentwilldevelopamodelofthedesignedstormwater(orcombined)systeminSobekVarioushydrodynamic calculations will be made to check the design and compare performance of the system under varying rainfall conditions and varying conditions of network as a result of degradation Results of Sobek model calculations The design calculations will be discussed with one of the supervisors in week6ofthecourseperiod(seecourseschedule)

16 Evaluation of design calculations

The results of manual design calculations and of the hydrodynamic model calculations will be analysed anddiscussedinthefinalreportTopicstoincludeinthediscussionaredifferencesbetweenstationaryand dynamic rainfall input differences between degradation conditions and assumptions made with regardtoRationalmethodcalculationsandSobekmodelinput(infiltrationrunoffcoefficientsrough-nessfactoretc)

17 Final report

Theendproductofthedesignassignmentisafinaldesignreportandapostersummarisingmainchar-acteristics and results of the design The poster will presented and discussed during a mini-symposium taking place at the end of the course period

Thefinalreportshouldatleastincludethefollowingitems - list of design requirements and criteria with respect to the future situation - motivated choice of a return period to be applied for the design calculations - calculation of design parameters needed for the design (wastewater production distribution of catchmentareasrunoffparametersstormwaterflows)

- layout of the designed system on the city map including main wastewater and stormwater pipes andorchannelslocationofthepumpingstationforwastewaterlocationofoutflowsoroverflowstosurfacewaterlocationsforstormwaterstoragedirectionofflowinthepipesunderdesignrainfallconditions(forstationaryrainfall)indicationofsurfaceareasconnectedtothestormwaterpipesorchannels

- designcalculationsfordimensionsofthesystem(egpipediameters)hydrauliccalculationsforthemanual design

- results of Sobek calculations - discussion of results for the manual and hydrodynamic computer calculations for the detailed design anddiscussionofpossiblefloodingandcapacityproblems

- conclusions and recommendations

6

CIE4491 Fundamentals of Urban Drainage

2 Poptahof

21 Project Area

The Poptahof area is the area bounded by the Provincialeweg on the west side the Westlandseweg on thenorthsidethePapsouwselaanontheeastsideandtheMartinusNijhofflaanonthesouthsideseefigure1

This area consists of mainly high rise residential buildings and a shopping mall all form the 1950rsquos and iscurrentlybeingredevelopedIntheredevelopmentplansseefigure2theoldresidentialbuildingswill be replaced by 8 new high rise residential buildings and the shopping mall will be extended with more shops and a level of apartments on top of the current shops The renewed Poptahof area will have around 1100 living units

The main challenge in urban drainage for the new Poptahof area will be to deal with stormwater from large impermeable areas of roofs the shopping centre and roads Furthermore a solution has to be foundforthepollutedwaterfromthetramlineonthePapsouwselaanandtheMartinusNijhofflaan

22 Catchment area and characteristics

Thecatchmentconsistsofimperviousareas(ieroofsandstreets)greenareasandsurfacewatersThelocations and dimensions of surface water areas can be if desired a part of the design as the area is still in development The green areas have a clay top layer with a small permeability This has to be tak-enintoaccountwhenconsideringtheimperviousandpervioussurfacesinthisareaThemapinfigure2alreadygivesanideaofthesizeof(im)pervioussurfacesinthePoptahofareaadetailedmapwithallimperviousandperviousareascanbefoundonblackboard(filenamelsquocatchmentcharacteristicsdwgrsquo)

Another important characteristic of this area is the pressure main from the Zuidplantsoen pumping sta-tion which crosses the area right through the middle An indication of its location is given by the blue line infigure1AdetaileddrawingofthispressuremainisgiveninanAutocadfileonblackboard(lsquopressuremainpoptahofdwgrsquo)

Figure 1 Poptahofprojectarea(SourceGoogleMaps) Figure 2 Plan of the renewed Poptahof area

7

Design Assignment Poptahof

23 Surface Water

The Poptahof area is part of the Krakeelpolder with a target water level at NAP -150 m and a maximum water level variation of 040 m above target level

24 Ground levels and ground water levels

GroundlevelscanbefoundintheAutocadfileasprovidedonblackboard(lsquopoptahofdwgrsquo)Inthisfilethegroundlevelsaregivennexttothemanholes(G-numbersinfile)

In this area groundwater levels have been monitored at Poptahof Noord 194 A graph showing the groundwaterfluctuationsisgiveninfigure3

25 Pumping station

Wastewater has to be transported to the Krakeelpolder pumping station which has a capacity of 0142m3sItcanbeassumedthatthepumpingstationcapacityissufficienttoreceivewaterfromthePoptahof area

26 Drinking water consumption

For the calculation of the wastewater production it can be assumed that the water consumption per inhabitant is 140 litres per day which are consumed over a period of 10 hours The amount of water loss per inhabitant is 20 liters per day

The businesses in the shopping mall have an annual water consumption of about 3600 m3 the Toren-hove has a water consumption of about 1800 m3

27 Specific design requirements

- Theavailable capacity for storageof stormwater that falls on theareaneeds tobe sufficient tostorageatleast36mmofrainfall(equivalenttothevolumeofaT=10yrsstorm)Thiscapacityisneeded to store stormwater before it is being transported out of the area to prevent overloading of downstream areas during heavy rainfall

- Flooding frequency needs to be brought down to at least once per 2 years - A pressure main from the Zuidplantsoen pumping station crosses the area the situation of the pres-suremainmustbetakenintoaccountinthedesignofthelongitudinalprofileofthesewersystems(seeAutocadfilelsquopressuremainpoptahofdwgrsquoformoredetails)

- Stormwater runoff from the tramline cannot be directly discharged to surface water it needs to undergo some kind of treatment

Figure 3 2 years series of groundwater levels at the Poptahof Noord 194

8

CIE4491 Fundamentals of Urban Drainage

28 Intensity Duration Frequency Curves

The sewage system needs to be designed for a certain return period of rainfall which is decided upon bythedesignerCorrespondingrainfallintensitiesaretobederivedfromtheIDF-curves(seeChapter3)

Figure 4 Phases in the redevelopment of the area

9

Design Assignment Poptahof

3 Calculations

31 Wastewater production (dry weather flow)

The wastewater production can be calculated based on the number of inhabitants and the drinking waterconsumptiontakingintoconsiderationwaterlossesandpossibleinfiltrationofgroundwaterTheurban drinking water consumption comprises both domestic and industrial usage Water losses (leak-age)intoundergroundpipesoccurwhendrinkingwaterdoesnotendupinthesewagesystemegwater used to wash cars or to water the garden

The wastewater production is subject to a diurnal pattern as can be seen in Figure 4 In order to ac-count for this effect a so-called peak factor can be estimated as

av

25p 15

Q= + (1)

withp = peak factorQav = average daily waste water production in ls

peak factor

av

25p 15Q

= +

withp = peak factorQav= average waste water production in ls

Using table B2 in appendix B the wastewater production can be determined for the design of the sewage system

Figure 4 Wastewater production in 24 hours

34 Storm water quantities

The precipitation data is based on measurements in Lelystad from 1970 through 1984 Based on these measurements partial series have been derived for rain periods of 5 15 30 60 and 120 minutes The sewage system needs to be designed for the transportation of an amount of water that has a certain return period for example once every year or once every two years (see sect 36 for further information)

Not all water is actually being discharged towards the sewage system Storm water that falls at unpaved areas such as public gardens private gardens etc is supposed to infiltrate into the ground Water that falls at paved areas such as roofs and roads is supposed to fully flow into the sewage system The per-centage of water that flows into the sewage system therefore depends upon the percentage of paved area in a neighbourhood often expressed as a run-off coefficient between 0 and 1 (0=100 unpaved 1=100 paved)

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sec-tions situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system For more complex systems computer modelling software has been developed (eg Sobek Infoworks) The following relation between discharge and rain intensity is assumed

n

n m mm 1

Q i ( F )=

= times ψ timessumwithQn = the discharge in the system at a location with n upstream sections in lsi = the precipitation intensity in l(sha)Ψm = the run-off coefficient of the catchment area that discharges towards sewer section m

8

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Qav

Figure 4 Typical diurnal pattern of wastewater production

Alternatively it is often assumed that the daily wastewater production takes place within ten hours of the day This is equivalent to a peak factor of p = 24

32 Stormwater discharge

Generation of stormwater discharge depends on the characteristics of the runoff surface Stormwater thatfallsonperviousareassuchaspublicgardensprivategardensetcisassumedtoinfiltrateintothe ground Water that falls on impervious areas such as roofs and roads largely runs off to a sewer systemThepercentageofwaterthatflowsintothesewagesystemthereforedependsupontheper-centageofimperviousareainaneighbourhoodoftenexpressedasarun-offcoefficientbetween0and1(0=100pervious1=100impervious)

Rational Method

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sections situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system Formorecomplexsystemscomputermodellingsoftwarehasbeendeveloped(egSobekInfoworks)The following relation between discharge and rain intensity is assumed

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 3: Design assignment poptahof

3

Design Assignment Poptahof

CIE4491 Fundamentals of Urban Drainage

Design Assignment

Responsible chair Urban DrainagePrincipal tutor DrIr JAE ten Veldhuis

E-Mail JAEtenVeldhuisTUDelftnlRoom HG 465

Case PoptahofDesign objective Ensuring a proper urban drainage situation in a new or

redevelopment area by designing an efficient and robustsystem for collection and transport of wastewater and storm water and for control of groundwater levels taking into account environmental social and economic requirements

Learning objectives After successful finishing of the design assignment the student should be able to - apply acquired knowledge and skills to design an urban

drainage system for a new or a redenotvelopment area - make manual design calculations for an urban drainage

system based on population data rainfall data urban characteristics and application of the Rational method

- make design calculations for an urban drainage system using a hydrodynamic computer model

- check performance of an urban drainage system under varying conditions of rainfall input and degradation of the underground network

- write a comprehensible report about the design process thatexplainsthechoicesmadeclarifiesdesigncalcula-tionsandpresentsthefinaloutcomes

4

CIE4491 Fundamentals of Urban Drainage

1 The Assignment

11 Introduction

This design assignment is an integral part of the MSc course on Fundamentals of Urban Drainage (CIE4491)Thelectureseriesofthiscourseaimtoprovidethestudentwiththenecessarytheoreticalbackground to design and analyse an urban drainage system The acquired theoretical knowledge will be applied in the assignment by designing an urban drainage system for a realistic case based on real-life data The student chooses one out of three cases that have been selected in the city of Delft the lsquoWesterkwartierrsquo residential area the Olofsbuurt residential area and the lsquoPoptahofrsquo commercial centre and surrounding redevelopment area

Theworkloadforthedesignassignmentisanestimated56hours(2ECTS)Thedesignprocessfollowsfivebasicsteps - preparation of a detailed list of design requirements for the urban drainage system including an ac-ceptablereturnperiodfortheoccurrenceofflooding

- preliminary design draft layouts of the wastewater and stormwater systems (or of the combined system)andcalculationofdesignparameters(wastewaterandstormwaterflows)

- detaileddesignoftheurbandrainagesystemmanualcalculationfinallayoutanddimensioningofthe wastewater collection system and of the stormwater system applying the rational method

- hydrodynamic model calculations using Sobek software analysis of calculation results for various rainfall inputs and conditions of the underground network

- reporting of the design steps and results

12 Design requirement

A detailed list of design requirements must be prepared that will serve as a starting point for the design of the urban drainage system Design requirements and criteria stated in this manual (see also ap-pendix)shouldbetakenintoconsiderationandchoicesinthedesignshouldbejustifiedinthedesignreportFurthermoreadditionalbasicdatarequiredforthedesignmaybecollectedinthefieldortakenfrom textbooks

Therequiredreturnperiodforfloodingistobedecideduponbythestudentthechosenreturnperiodmustbemotivatedinthefinaldesignreport

13 Preliminary design

Thestudentwillfirstprepareapreliminarydesignforthegivendesignsituationtakingintoaccountdesignrequirementsandaspectssuchasresnottorationofnaturalwaterflowsandminimumenergycon-sumption The preliminary design includes a description of system principles and main components and a draft lay-out on the map of the case study area

Designparameterswillalsobecalculatedinthisstepinparticularvalueswillbequantifiedforwaste-waterflowsandstormwaterflowsThelatterwillbebasedonrealisticestimatesofrunoffparametersand application of the rational method

The preliminary design will be discussed with one of the supervisors in week 3 of the course (see also coursescheduleonBB)

5

Design Assignment Poptahof

14 Detailed design manual calculation

Adetaileddesignwillbedeveloped includingafinal layoutoftheurbandrainagenetworkdimen-sions of sewer pipes channels and other facilities Hydraulic calculations will be done to check that no floodingoccursinthedesignedsystemforrainfallconditionsassociatedwiththechosenreturnperiod

15 Detailed design hydrodynamic computer model calculations

Thestudentwilldevelopamodelofthedesignedstormwater(orcombined)systeminSobekVarioushydrodynamic calculations will be made to check the design and compare performance of the system under varying rainfall conditions and varying conditions of network as a result of degradation Results of Sobek model calculations The design calculations will be discussed with one of the supervisors in week6ofthecourseperiod(seecourseschedule)

16 Evaluation of design calculations

The results of manual design calculations and of the hydrodynamic model calculations will be analysed anddiscussedinthefinalreportTopicstoincludeinthediscussionaredifferencesbetweenstationaryand dynamic rainfall input differences between degradation conditions and assumptions made with regardtoRationalmethodcalculationsandSobekmodelinput(infiltrationrunoffcoefficientsrough-nessfactoretc)

17 Final report

Theendproductofthedesignassignmentisafinaldesignreportandapostersummarisingmainchar-acteristics and results of the design The poster will presented and discussed during a mini-symposium taking place at the end of the course period

Thefinalreportshouldatleastincludethefollowingitems - list of design requirements and criteria with respect to the future situation - motivated choice of a return period to be applied for the design calculations - calculation of design parameters needed for the design (wastewater production distribution of catchmentareasrunoffparametersstormwaterflows)

- layout of the designed system on the city map including main wastewater and stormwater pipes andorchannelslocationofthepumpingstationforwastewaterlocationofoutflowsoroverflowstosurfacewaterlocationsforstormwaterstoragedirectionofflowinthepipesunderdesignrainfallconditions(forstationaryrainfall)indicationofsurfaceareasconnectedtothestormwaterpipesorchannels

- designcalculationsfordimensionsofthesystem(egpipediameters)hydrauliccalculationsforthemanual design

- results of Sobek calculations - discussion of results for the manual and hydrodynamic computer calculations for the detailed design anddiscussionofpossiblefloodingandcapacityproblems

- conclusions and recommendations

6

CIE4491 Fundamentals of Urban Drainage

2 Poptahof

21 Project Area

The Poptahof area is the area bounded by the Provincialeweg on the west side the Westlandseweg on thenorthsidethePapsouwselaanontheeastsideandtheMartinusNijhofflaanonthesouthsideseefigure1

This area consists of mainly high rise residential buildings and a shopping mall all form the 1950rsquos and iscurrentlybeingredevelopedIntheredevelopmentplansseefigure2theoldresidentialbuildingswill be replaced by 8 new high rise residential buildings and the shopping mall will be extended with more shops and a level of apartments on top of the current shops The renewed Poptahof area will have around 1100 living units

The main challenge in urban drainage for the new Poptahof area will be to deal with stormwater from large impermeable areas of roofs the shopping centre and roads Furthermore a solution has to be foundforthepollutedwaterfromthetramlineonthePapsouwselaanandtheMartinusNijhofflaan

22 Catchment area and characteristics

Thecatchmentconsistsofimperviousareas(ieroofsandstreets)greenareasandsurfacewatersThelocations and dimensions of surface water areas can be if desired a part of the design as the area is still in development The green areas have a clay top layer with a small permeability This has to be tak-enintoaccountwhenconsideringtheimperviousandpervioussurfacesinthisareaThemapinfigure2alreadygivesanideaofthesizeof(im)pervioussurfacesinthePoptahofareaadetailedmapwithallimperviousandperviousareascanbefoundonblackboard(filenamelsquocatchmentcharacteristicsdwgrsquo)

Another important characteristic of this area is the pressure main from the Zuidplantsoen pumping sta-tion which crosses the area right through the middle An indication of its location is given by the blue line infigure1AdetaileddrawingofthispressuremainisgiveninanAutocadfileonblackboard(lsquopressuremainpoptahofdwgrsquo)

Figure 1 Poptahofprojectarea(SourceGoogleMaps) Figure 2 Plan of the renewed Poptahof area

7

Design Assignment Poptahof

23 Surface Water

The Poptahof area is part of the Krakeelpolder with a target water level at NAP -150 m and a maximum water level variation of 040 m above target level

24 Ground levels and ground water levels

GroundlevelscanbefoundintheAutocadfileasprovidedonblackboard(lsquopoptahofdwgrsquo)Inthisfilethegroundlevelsaregivennexttothemanholes(G-numbersinfile)

In this area groundwater levels have been monitored at Poptahof Noord 194 A graph showing the groundwaterfluctuationsisgiveninfigure3

25 Pumping station

Wastewater has to be transported to the Krakeelpolder pumping station which has a capacity of 0142m3sItcanbeassumedthatthepumpingstationcapacityissufficienttoreceivewaterfromthePoptahof area

26 Drinking water consumption

For the calculation of the wastewater production it can be assumed that the water consumption per inhabitant is 140 litres per day which are consumed over a period of 10 hours The amount of water loss per inhabitant is 20 liters per day

The businesses in the shopping mall have an annual water consumption of about 3600 m3 the Toren-hove has a water consumption of about 1800 m3

27 Specific design requirements

- Theavailable capacity for storageof stormwater that falls on theareaneeds tobe sufficient tostorageatleast36mmofrainfall(equivalenttothevolumeofaT=10yrsstorm)Thiscapacityisneeded to store stormwater before it is being transported out of the area to prevent overloading of downstream areas during heavy rainfall

- Flooding frequency needs to be brought down to at least once per 2 years - A pressure main from the Zuidplantsoen pumping station crosses the area the situation of the pres-suremainmustbetakenintoaccountinthedesignofthelongitudinalprofileofthesewersystems(seeAutocadfilelsquopressuremainpoptahofdwgrsquoformoredetails)

- Stormwater runoff from the tramline cannot be directly discharged to surface water it needs to undergo some kind of treatment

Figure 3 2 years series of groundwater levels at the Poptahof Noord 194

8

CIE4491 Fundamentals of Urban Drainage

28 Intensity Duration Frequency Curves

The sewage system needs to be designed for a certain return period of rainfall which is decided upon bythedesignerCorrespondingrainfallintensitiesaretobederivedfromtheIDF-curves(seeChapter3)

Figure 4 Phases in the redevelopment of the area

9

Design Assignment Poptahof

3 Calculations

31 Wastewater production (dry weather flow)

The wastewater production can be calculated based on the number of inhabitants and the drinking waterconsumptiontakingintoconsiderationwaterlossesandpossibleinfiltrationofgroundwaterTheurban drinking water consumption comprises both domestic and industrial usage Water losses (leak-age)intoundergroundpipesoccurwhendrinkingwaterdoesnotendupinthesewagesystemegwater used to wash cars or to water the garden

The wastewater production is subject to a diurnal pattern as can be seen in Figure 4 In order to ac-count for this effect a so-called peak factor can be estimated as

av

25p 15

Q= + (1)

withp = peak factorQav = average daily waste water production in ls

peak factor

av

25p 15Q

= +

withp = peak factorQav= average waste water production in ls

Using table B2 in appendix B the wastewater production can be determined for the design of the sewage system

Figure 4 Wastewater production in 24 hours

34 Storm water quantities

The precipitation data is based on measurements in Lelystad from 1970 through 1984 Based on these measurements partial series have been derived for rain periods of 5 15 30 60 and 120 minutes The sewage system needs to be designed for the transportation of an amount of water that has a certain return period for example once every year or once every two years (see sect 36 for further information)

Not all water is actually being discharged towards the sewage system Storm water that falls at unpaved areas such as public gardens private gardens etc is supposed to infiltrate into the ground Water that falls at paved areas such as roofs and roads is supposed to fully flow into the sewage system The per-centage of water that flows into the sewage system therefore depends upon the percentage of paved area in a neighbourhood often expressed as a run-off coefficient between 0 and 1 (0=100 unpaved 1=100 paved)

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sec-tions situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system For more complex systems computer modelling software has been developed (eg Sobek Infoworks) The following relation between discharge and rain intensity is assumed

n

n m mm 1

Q i ( F )=

= times ψ timessumwithQn = the discharge in the system at a location with n upstream sections in lsi = the precipitation intensity in l(sha)Ψm = the run-off coefficient of the catchment area that discharges towards sewer section m

8

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Qav

Figure 4 Typical diurnal pattern of wastewater production

Alternatively it is often assumed that the daily wastewater production takes place within ten hours of the day This is equivalent to a peak factor of p = 24

32 Stormwater discharge

Generation of stormwater discharge depends on the characteristics of the runoff surface Stormwater thatfallsonperviousareassuchaspublicgardensprivategardensetcisassumedtoinfiltrateintothe ground Water that falls on impervious areas such as roofs and roads largely runs off to a sewer systemThepercentageofwaterthatflowsintothesewagesystemthereforedependsupontheper-centageofimperviousareainaneighbourhoodoftenexpressedasarun-offcoefficientbetween0and1(0=100pervious1=100impervious)

Rational Method

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sections situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system Formorecomplexsystemscomputermodellingsoftwarehasbeendeveloped(egSobekInfoworks)The following relation between discharge and rain intensity is assumed

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 4: Design assignment poptahof

4

CIE4491 Fundamentals of Urban Drainage

1 The Assignment

11 Introduction

This design assignment is an integral part of the MSc course on Fundamentals of Urban Drainage (CIE4491)Thelectureseriesofthiscourseaimtoprovidethestudentwiththenecessarytheoreticalbackground to design and analyse an urban drainage system The acquired theoretical knowledge will be applied in the assignment by designing an urban drainage system for a realistic case based on real-life data The student chooses one out of three cases that have been selected in the city of Delft the lsquoWesterkwartierrsquo residential area the Olofsbuurt residential area and the lsquoPoptahofrsquo commercial centre and surrounding redevelopment area

Theworkloadforthedesignassignmentisanestimated56hours(2ECTS)Thedesignprocessfollowsfivebasicsteps - preparation of a detailed list of design requirements for the urban drainage system including an ac-ceptablereturnperiodfortheoccurrenceofflooding

- preliminary design draft layouts of the wastewater and stormwater systems (or of the combined system)andcalculationofdesignparameters(wastewaterandstormwaterflows)

- detaileddesignoftheurbandrainagesystemmanualcalculationfinallayoutanddimensioningofthe wastewater collection system and of the stormwater system applying the rational method

- hydrodynamic model calculations using Sobek software analysis of calculation results for various rainfall inputs and conditions of the underground network

- reporting of the design steps and results

12 Design requirement

A detailed list of design requirements must be prepared that will serve as a starting point for the design of the urban drainage system Design requirements and criteria stated in this manual (see also ap-pendix)shouldbetakenintoconsiderationandchoicesinthedesignshouldbejustifiedinthedesignreportFurthermoreadditionalbasicdatarequiredforthedesignmaybecollectedinthefieldortakenfrom textbooks

Therequiredreturnperiodforfloodingistobedecideduponbythestudentthechosenreturnperiodmustbemotivatedinthefinaldesignreport

13 Preliminary design

Thestudentwillfirstprepareapreliminarydesignforthegivendesignsituationtakingintoaccountdesignrequirementsandaspectssuchasresnottorationofnaturalwaterflowsandminimumenergycon-sumption The preliminary design includes a description of system principles and main components and a draft lay-out on the map of the case study area

Designparameterswillalsobecalculatedinthisstepinparticularvalueswillbequantifiedforwaste-waterflowsandstormwaterflowsThelatterwillbebasedonrealisticestimatesofrunoffparametersand application of the rational method

The preliminary design will be discussed with one of the supervisors in week 3 of the course (see also coursescheduleonBB)

5

Design Assignment Poptahof

14 Detailed design manual calculation

Adetaileddesignwillbedeveloped includingafinal layoutoftheurbandrainagenetworkdimen-sions of sewer pipes channels and other facilities Hydraulic calculations will be done to check that no floodingoccursinthedesignedsystemforrainfallconditionsassociatedwiththechosenreturnperiod

15 Detailed design hydrodynamic computer model calculations

Thestudentwilldevelopamodelofthedesignedstormwater(orcombined)systeminSobekVarioushydrodynamic calculations will be made to check the design and compare performance of the system under varying rainfall conditions and varying conditions of network as a result of degradation Results of Sobek model calculations The design calculations will be discussed with one of the supervisors in week6ofthecourseperiod(seecourseschedule)

16 Evaluation of design calculations

The results of manual design calculations and of the hydrodynamic model calculations will be analysed anddiscussedinthefinalreportTopicstoincludeinthediscussionaredifferencesbetweenstationaryand dynamic rainfall input differences between degradation conditions and assumptions made with regardtoRationalmethodcalculationsandSobekmodelinput(infiltrationrunoffcoefficientsrough-nessfactoretc)

17 Final report

Theendproductofthedesignassignmentisafinaldesignreportandapostersummarisingmainchar-acteristics and results of the design The poster will presented and discussed during a mini-symposium taking place at the end of the course period

Thefinalreportshouldatleastincludethefollowingitems - list of design requirements and criteria with respect to the future situation - motivated choice of a return period to be applied for the design calculations - calculation of design parameters needed for the design (wastewater production distribution of catchmentareasrunoffparametersstormwaterflows)

- layout of the designed system on the city map including main wastewater and stormwater pipes andorchannelslocationofthepumpingstationforwastewaterlocationofoutflowsoroverflowstosurfacewaterlocationsforstormwaterstoragedirectionofflowinthepipesunderdesignrainfallconditions(forstationaryrainfall)indicationofsurfaceareasconnectedtothestormwaterpipesorchannels

- designcalculationsfordimensionsofthesystem(egpipediameters)hydrauliccalculationsforthemanual design

- results of Sobek calculations - discussion of results for the manual and hydrodynamic computer calculations for the detailed design anddiscussionofpossiblefloodingandcapacityproblems

- conclusions and recommendations

6

CIE4491 Fundamentals of Urban Drainage

2 Poptahof

21 Project Area

The Poptahof area is the area bounded by the Provincialeweg on the west side the Westlandseweg on thenorthsidethePapsouwselaanontheeastsideandtheMartinusNijhofflaanonthesouthsideseefigure1

This area consists of mainly high rise residential buildings and a shopping mall all form the 1950rsquos and iscurrentlybeingredevelopedIntheredevelopmentplansseefigure2theoldresidentialbuildingswill be replaced by 8 new high rise residential buildings and the shopping mall will be extended with more shops and a level of apartments on top of the current shops The renewed Poptahof area will have around 1100 living units

The main challenge in urban drainage for the new Poptahof area will be to deal with stormwater from large impermeable areas of roofs the shopping centre and roads Furthermore a solution has to be foundforthepollutedwaterfromthetramlineonthePapsouwselaanandtheMartinusNijhofflaan

22 Catchment area and characteristics

Thecatchmentconsistsofimperviousareas(ieroofsandstreets)greenareasandsurfacewatersThelocations and dimensions of surface water areas can be if desired a part of the design as the area is still in development The green areas have a clay top layer with a small permeability This has to be tak-enintoaccountwhenconsideringtheimperviousandpervioussurfacesinthisareaThemapinfigure2alreadygivesanideaofthesizeof(im)pervioussurfacesinthePoptahofareaadetailedmapwithallimperviousandperviousareascanbefoundonblackboard(filenamelsquocatchmentcharacteristicsdwgrsquo)

Another important characteristic of this area is the pressure main from the Zuidplantsoen pumping sta-tion which crosses the area right through the middle An indication of its location is given by the blue line infigure1AdetaileddrawingofthispressuremainisgiveninanAutocadfileonblackboard(lsquopressuremainpoptahofdwgrsquo)

Figure 1 Poptahofprojectarea(SourceGoogleMaps) Figure 2 Plan of the renewed Poptahof area

7

Design Assignment Poptahof

23 Surface Water

The Poptahof area is part of the Krakeelpolder with a target water level at NAP -150 m and a maximum water level variation of 040 m above target level

24 Ground levels and ground water levels

GroundlevelscanbefoundintheAutocadfileasprovidedonblackboard(lsquopoptahofdwgrsquo)Inthisfilethegroundlevelsaregivennexttothemanholes(G-numbersinfile)

In this area groundwater levels have been monitored at Poptahof Noord 194 A graph showing the groundwaterfluctuationsisgiveninfigure3

25 Pumping station

Wastewater has to be transported to the Krakeelpolder pumping station which has a capacity of 0142m3sItcanbeassumedthatthepumpingstationcapacityissufficienttoreceivewaterfromthePoptahof area

26 Drinking water consumption

For the calculation of the wastewater production it can be assumed that the water consumption per inhabitant is 140 litres per day which are consumed over a period of 10 hours The amount of water loss per inhabitant is 20 liters per day

The businesses in the shopping mall have an annual water consumption of about 3600 m3 the Toren-hove has a water consumption of about 1800 m3

27 Specific design requirements

- Theavailable capacity for storageof stormwater that falls on theareaneeds tobe sufficient tostorageatleast36mmofrainfall(equivalenttothevolumeofaT=10yrsstorm)Thiscapacityisneeded to store stormwater before it is being transported out of the area to prevent overloading of downstream areas during heavy rainfall

- Flooding frequency needs to be brought down to at least once per 2 years - A pressure main from the Zuidplantsoen pumping station crosses the area the situation of the pres-suremainmustbetakenintoaccountinthedesignofthelongitudinalprofileofthesewersystems(seeAutocadfilelsquopressuremainpoptahofdwgrsquoformoredetails)

- Stormwater runoff from the tramline cannot be directly discharged to surface water it needs to undergo some kind of treatment

Figure 3 2 years series of groundwater levels at the Poptahof Noord 194

8

CIE4491 Fundamentals of Urban Drainage

28 Intensity Duration Frequency Curves

The sewage system needs to be designed for a certain return period of rainfall which is decided upon bythedesignerCorrespondingrainfallintensitiesaretobederivedfromtheIDF-curves(seeChapter3)

Figure 4 Phases in the redevelopment of the area

9

Design Assignment Poptahof

3 Calculations

31 Wastewater production (dry weather flow)

The wastewater production can be calculated based on the number of inhabitants and the drinking waterconsumptiontakingintoconsiderationwaterlossesandpossibleinfiltrationofgroundwaterTheurban drinking water consumption comprises both domestic and industrial usage Water losses (leak-age)intoundergroundpipesoccurwhendrinkingwaterdoesnotendupinthesewagesystemegwater used to wash cars or to water the garden

The wastewater production is subject to a diurnal pattern as can be seen in Figure 4 In order to ac-count for this effect a so-called peak factor can be estimated as

av

25p 15

Q= + (1)

withp = peak factorQav = average daily waste water production in ls

peak factor

av

25p 15Q

= +

withp = peak factorQav= average waste water production in ls

Using table B2 in appendix B the wastewater production can be determined for the design of the sewage system

Figure 4 Wastewater production in 24 hours

34 Storm water quantities

The precipitation data is based on measurements in Lelystad from 1970 through 1984 Based on these measurements partial series have been derived for rain periods of 5 15 30 60 and 120 minutes The sewage system needs to be designed for the transportation of an amount of water that has a certain return period for example once every year or once every two years (see sect 36 for further information)

Not all water is actually being discharged towards the sewage system Storm water that falls at unpaved areas such as public gardens private gardens etc is supposed to infiltrate into the ground Water that falls at paved areas such as roofs and roads is supposed to fully flow into the sewage system The per-centage of water that flows into the sewage system therefore depends upon the percentage of paved area in a neighbourhood often expressed as a run-off coefficient between 0 and 1 (0=100 unpaved 1=100 paved)

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sec-tions situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system For more complex systems computer modelling software has been developed (eg Sobek Infoworks) The following relation between discharge and rain intensity is assumed

n

n m mm 1

Q i ( F )=

= times ψ timessumwithQn = the discharge in the system at a location with n upstream sections in lsi = the precipitation intensity in l(sha)Ψm = the run-off coefficient of the catchment area that discharges towards sewer section m

8

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Qav

Figure 4 Typical diurnal pattern of wastewater production

Alternatively it is often assumed that the daily wastewater production takes place within ten hours of the day This is equivalent to a peak factor of p = 24

32 Stormwater discharge

Generation of stormwater discharge depends on the characteristics of the runoff surface Stormwater thatfallsonperviousareassuchaspublicgardensprivategardensetcisassumedtoinfiltrateintothe ground Water that falls on impervious areas such as roofs and roads largely runs off to a sewer systemThepercentageofwaterthatflowsintothesewagesystemthereforedependsupontheper-centageofimperviousareainaneighbourhoodoftenexpressedasarun-offcoefficientbetween0and1(0=100pervious1=100impervious)

Rational Method

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sections situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system Formorecomplexsystemscomputermodellingsoftwarehasbeendeveloped(egSobekInfoworks)The following relation between discharge and rain intensity is assumed

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 5: Design assignment poptahof

5

Design Assignment Poptahof

14 Detailed design manual calculation

Adetaileddesignwillbedeveloped includingafinal layoutoftheurbandrainagenetworkdimen-sions of sewer pipes channels and other facilities Hydraulic calculations will be done to check that no floodingoccursinthedesignedsystemforrainfallconditionsassociatedwiththechosenreturnperiod

15 Detailed design hydrodynamic computer model calculations

Thestudentwilldevelopamodelofthedesignedstormwater(orcombined)systeminSobekVarioushydrodynamic calculations will be made to check the design and compare performance of the system under varying rainfall conditions and varying conditions of network as a result of degradation Results of Sobek model calculations The design calculations will be discussed with one of the supervisors in week6ofthecourseperiod(seecourseschedule)

16 Evaluation of design calculations

The results of manual design calculations and of the hydrodynamic model calculations will be analysed anddiscussedinthefinalreportTopicstoincludeinthediscussionaredifferencesbetweenstationaryand dynamic rainfall input differences between degradation conditions and assumptions made with regardtoRationalmethodcalculationsandSobekmodelinput(infiltrationrunoffcoefficientsrough-nessfactoretc)

17 Final report

Theendproductofthedesignassignmentisafinaldesignreportandapostersummarisingmainchar-acteristics and results of the design The poster will presented and discussed during a mini-symposium taking place at the end of the course period

Thefinalreportshouldatleastincludethefollowingitems - list of design requirements and criteria with respect to the future situation - motivated choice of a return period to be applied for the design calculations - calculation of design parameters needed for the design (wastewater production distribution of catchmentareasrunoffparametersstormwaterflows)

- layout of the designed system on the city map including main wastewater and stormwater pipes andorchannelslocationofthepumpingstationforwastewaterlocationofoutflowsoroverflowstosurfacewaterlocationsforstormwaterstoragedirectionofflowinthepipesunderdesignrainfallconditions(forstationaryrainfall)indicationofsurfaceareasconnectedtothestormwaterpipesorchannels

- designcalculationsfordimensionsofthesystem(egpipediameters)hydrauliccalculationsforthemanual design

- results of Sobek calculations - discussion of results for the manual and hydrodynamic computer calculations for the detailed design anddiscussionofpossiblefloodingandcapacityproblems

- conclusions and recommendations

6

CIE4491 Fundamentals of Urban Drainage

2 Poptahof

21 Project Area

The Poptahof area is the area bounded by the Provincialeweg on the west side the Westlandseweg on thenorthsidethePapsouwselaanontheeastsideandtheMartinusNijhofflaanonthesouthsideseefigure1

This area consists of mainly high rise residential buildings and a shopping mall all form the 1950rsquos and iscurrentlybeingredevelopedIntheredevelopmentplansseefigure2theoldresidentialbuildingswill be replaced by 8 new high rise residential buildings and the shopping mall will be extended with more shops and a level of apartments on top of the current shops The renewed Poptahof area will have around 1100 living units

The main challenge in urban drainage for the new Poptahof area will be to deal with stormwater from large impermeable areas of roofs the shopping centre and roads Furthermore a solution has to be foundforthepollutedwaterfromthetramlineonthePapsouwselaanandtheMartinusNijhofflaan

22 Catchment area and characteristics

Thecatchmentconsistsofimperviousareas(ieroofsandstreets)greenareasandsurfacewatersThelocations and dimensions of surface water areas can be if desired a part of the design as the area is still in development The green areas have a clay top layer with a small permeability This has to be tak-enintoaccountwhenconsideringtheimperviousandpervioussurfacesinthisareaThemapinfigure2alreadygivesanideaofthesizeof(im)pervioussurfacesinthePoptahofareaadetailedmapwithallimperviousandperviousareascanbefoundonblackboard(filenamelsquocatchmentcharacteristicsdwgrsquo)

Another important characteristic of this area is the pressure main from the Zuidplantsoen pumping sta-tion which crosses the area right through the middle An indication of its location is given by the blue line infigure1AdetaileddrawingofthispressuremainisgiveninanAutocadfileonblackboard(lsquopressuremainpoptahofdwgrsquo)

Figure 1 Poptahofprojectarea(SourceGoogleMaps) Figure 2 Plan of the renewed Poptahof area

7

Design Assignment Poptahof

23 Surface Water

The Poptahof area is part of the Krakeelpolder with a target water level at NAP -150 m and a maximum water level variation of 040 m above target level

24 Ground levels and ground water levels

GroundlevelscanbefoundintheAutocadfileasprovidedonblackboard(lsquopoptahofdwgrsquo)Inthisfilethegroundlevelsaregivennexttothemanholes(G-numbersinfile)

In this area groundwater levels have been monitored at Poptahof Noord 194 A graph showing the groundwaterfluctuationsisgiveninfigure3

25 Pumping station

Wastewater has to be transported to the Krakeelpolder pumping station which has a capacity of 0142m3sItcanbeassumedthatthepumpingstationcapacityissufficienttoreceivewaterfromthePoptahof area

26 Drinking water consumption

For the calculation of the wastewater production it can be assumed that the water consumption per inhabitant is 140 litres per day which are consumed over a period of 10 hours The amount of water loss per inhabitant is 20 liters per day

The businesses in the shopping mall have an annual water consumption of about 3600 m3 the Toren-hove has a water consumption of about 1800 m3

27 Specific design requirements

- Theavailable capacity for storageof stormwater that falls on theareaneeds tobe sufficient tostorageatleast36mmofrainfall(equivalenttothevolumeofaT=10yrsstorm)Thiscapacityisneeded to store stormwater before it is being transported out of the area to prevent overloading of downstream areas during heavy rainfall

- Flooding frequency needs to be brought down to at least once per 2 years - A pressure main from the Zuidplantsoen pumping station crosses the area the situation of the pres-suremainmustbetakenintoaccountinthedesignofthelongitudinalprofileofthesewersystems(seeAutocadfilelsquopressuremainpoptahofdwgrsquoformoredetails)

- Stormwater runoff from the tramline cannot be directly discharged to surface water it needs to undergo some kind of treatment

Figure 3 2 years series of groundwater levels at the Poptahof Noord 194

8

CIE4491 Fundamentals of Urban Drainage

28 Intensity Duration Frequency Curves

The sewage system needs to be designed for a certain return period of rainfall which is decided upon bythedesignerCorrespondingrainfallintensitiesaretobederivedfromtheIDF-curves(seeChapter3)

Figure 4 Phases in the redevelopment of the area

9

Design Assignment Poptahof

3 Calculations

31 Wastewater production (dry weather flow)

The wastewater production can be calculated based on the number of inhabitants and the drinking waterconsumptiontakingintoconsiderationwaterlossesandpossibleinfiltrationofgroundwaterTheurban drinking water consumption comprises both domestic and industrial usage Water losses (leak-age)intoundergroundpipesoccurwhendrinkingwaterdoesnotendupinthesewagesystemegwater used to wash cars or to water the garden

The wastewater production is subject to a diurnal pattern as can be seen in Figure 4 In order to ac-count for this effect a so-called peak factor can be estimated as

av

25p 15

Q= + (1)

withp = peak factorQav = average daily waste water production in ls

peak factor

av

25p 15Q

= +

withp = peak factorQav= average waste water production in ls

Using table B2 in appendix B the wastewater production can be determined for the design of the sewage system

Figure 4 Wastewater production in 24 hours

34 Storm water quantities

The precipitation data is based on measurements in Lelystad from 1970 through 1984 Based on these measurements partial series have been derived for rain periods of 5 15 30 60 and 120 minutes The sewage system needs to be designed for the transportation of an amount of water that has a certain return period for example once every year or once every two years (see sect 36 for further information)

Not all water is actually being discharged towards the sewage system Storm water that falls at unpaved areas such as public gardens private gardens etc is supposed to infiltrate into the ground Water that falls at paved areas such as roofs and roads is supposed to fully flow into the sewage system The per-centage of water that flows into the sewage system therefore depends upon the percentage of paved area in a neighbourhood often expressed as a run-off coefficient between 0 and 1 (0=100 unpaved 1=100 paved)

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sec-tions situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system For more complex systems computer modelling software has been developed (eg Sobek Infoworks) The following relation between discharge and rain intensity is assumed

n

n m mm 1

Q i ( F )=

= times ψ timessumwithQn = the discharge in the system at a location with n upstream sections in lsi = the precipitation intensity in l(sha)Ψm = the run-off coefficient of the catchment area that discharges towards sewer section m

8

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Qav

Figure 4 Typical diurnal pattern of wastewater production

Alternatively it is often assumed that the daily wastewater production takes place within ten hours of the day This is equivalent to a peak factor of p = 24

32 Stormwater discharge

Generation of stormwater discharge depends on the characteristics of the runoff surface Stormwater thatfallsonperviousareassuchaspublicgardensprivategardensetcisassumedtoinfiltrateintothe ground Water that falls on impervious areas such as roofs and roads largely runs off to a sewer systemThepercentageofwaterthatflowsintothesewagesystemthereforedependsupontheper-centageofimperviousareainaneighbourhoodoftenexpressedasarun-offcoefficientbetween0and1(0=100pervious1=100impervious)

Rational Method

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sections situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system Formorecomplexsystemscomputermodellingsoftwarehasbeendeveloped(egSobekInfoworks)The following relation between discharge and rain intensity is assumed

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

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758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

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120

889

5655

3

1000

901

7077

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2672

715

950

7460

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1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

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421

629

2

1800

130

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087

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36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 6: Design assignment poptahof

6

CIE4491 Fundamentals of Urban Drainage

2 Poptahof

21 Project Area

The Poptahof area is the area bounded by the Provincialeweg on the west side the Westlandseweg on thenorthsidethePapsouwselaanontheeastsideandtheMartinusNijhofflaanonthesouthsideseefigure1

This area consists of mainly high rise residential buildings and a shopping mall all form the 1950rsquos and iscurrentlybeingredevelopedIntheredevelopmentplansseefigure2theoldresidentialbuildingswill be replaced by 8 new high rise residential buildings and the shopping mall will be extended with more shops and a level of apartments on top of the current shops The renewed Poptahof area will have around 1100 living units

The main challenge in urban drainage for the new Poptahof area will be to deal with stormwater from large impermeable areas of roofs the shopping centre and roads Furthermore a solution has to be foundforthepollutedwaterfromthetramlineonthePapsouwselaanandtheMartinusNijhofflaan

22 Catchment area and characteristics

Thecatchmentconsistsofimperviousareas(ieroofsandstreets)greenareasandsurfacewatersThelocations and dimensions of surface water areas can be if desired a part of the design as the area is still in development The green areas have a clay top layer with a small permeability This has to be tak-enintoaccountwhenconsideringtheimperviousandpervioussurfacesinthisareaThemapinfigure2alreadygivesanideaofthesizeof(im)pervioussurfacesinthePoptahofareaadetailedmapwithallimperviousandperviousareascanbefoundonblackboard(filenamelsquocatchmentcharacteristicsdwgrsquo)

Another important characteristic of this area is the pressure main from the Zuidplantsoen pumping sta-tion which crosses the area right through the middle An indication of its location is given by the blue line infigure1AdetaileddrawingofthispressuremainisgiveninanAutocadfileonblackboard(lsquopressuremainpoptahofdwgrsquo)

Figure 1 Poptahofprojectarea(SourceGoogleMaps) Figure 2 Plan of the renewed Poptahof area

7

Design Assignment Poptahof

23 Surface Water

The Poptahof area is part of the Krakeelpolder with a target water level at NAP -150 m and a maximum water level variation of 040 m above target level

24 Ground levels and ground water levels

GroundlevelscanbefoundintheAutocadfileasprovidedonblackboard(lsquopoptahofdwgrsquo)Inthisfilethegroundlevelsaregivennexttothemanholes(G-numbersinfile)

In this area groundwater levels have been monitored at Poptahof Noord 194 A graph showing the groundwaterfluctuationsisgiveninfigure3

25 Pumping station

Wastewater has to be transported to the Krakeelpolder pumping station which has a capacity of 0142m3sItcanbeassumedthatthepumpingstationcapacityissufficienttoreceivewaterfromthePoptahof area

26 Drinking water consumption

For the calculation of the wastewater production it can be assumed that the water consumption per inhabitant is 140 litres per day which are consumed over a period of 10 hours The amount of water loss per inhabitant is 20 liters per day

The businesses in the shopping mall have an annual water consumption of about 3600 m3 the Toren-hove has a water consumption of about 1800 m3

27 Specific design requirements

- Theavailable capacity for storageof stormwater that falls on theareaneeds tobe sufficient tostorageatleast36mmofrainfall(equivalenttothevolumeofaT=10yrsstorm)Thiscapacityisneeded to store stormwater before it is being transported out of the area to prevent overloading of downstream areas during heavy rainfall

- Flooding frequency needs to be brought down to at least once per 2 years - A pressure main from the Zuidplantsoen pumping station crosses the area the situation of the pres-suremainmustbetakenintoaccountinthedesignofthelongitudinalprofileofthesewersystems(seeAutocadfilelsquopressuremainpoptahofdwgrsquoformoredetails)

- Stormwater runoff from the tramline cannot be directly discharged to surface water it needs to undergo some kind of treatment

Figure 3 2 years series of groundwater levels at the Poptahof Noord 194

8

CIE4491 Fundamentals of Urban Drainage

28 Intensity Duration Frequency Curves

The sewage system needs to be designed for a certain return period of rainfall which is decided upon bythedesignerCorrespondingrainfallintensitiesaretobederivedfromtheIDF-curves(seeChapter3)

Figure 4 Phases in the redevelopment of the area

9

Design Assignment Poptahof

3 Calculations

31 Wastewater production (dry weather flow)

The wastewater production can be calculated based on the number of inhabitants and the drinking waterconsumptiontakingintoconsiderationwaterlossesandpossibleinfiltrationofgroundwaterTheurban drinking water consumption comprises both domestic and industrial usage Water losses (leak-age)intoundergroundpipesoccurwhendrinkingwaterdoesnotendupinthesewagesystemegwater used to wash cars or to water the garden

The wastewater production is subject to a diurnal pattern as can be seen in Figure 4 In order to ac-count for this effect a so-called peak factor can be estimated as

av

25p 15

Q= + (1)

withp = peak factorQav = average daily waste water production in ls

peak factor

av

25p 15Q

= +

withp = peak factorQav= average waste water production in ls

Using table B2 in appendix B the wastewater production can be determined for the design of the sewage system

Figure 4 Wastewater production in 24 hours

34 Storm water quantities

The precipitation data is based on measurements in Lelystad from 1970 through 1984 Based on these measurements partial series have been derived for rain periods of 5 15 30 60 and 120 minutes The sewage system needs to be designed for the transportation of an amount of water that has a certain return period for example once every year or once every two years (see sect 36 for further information)

Not all water is actually being discharged towards the sewage system Storm water that falls at unpaved areas such as public gardens private gardens etc is supposed to infiltrate into the ground Water that falls at paved areas such as roofs and roads is supposed to fully flow into the sewage system The per-centage of water that flows into the sewage system therefore depends upon the percentage of paved area in a neighbourhood often expressed as a run-off coefficient between 0 and 1 (0=100 unpaved 1=100 paved)

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sec-tions situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system For more complex systems computer modelling software has been developed (eg Sobek Infoworks) The following relation between discharge and rain intensity is assumed

n

n m mm 1

Q i ( F )=

= times ψ timessumwithQn = the discharge in the system at a location with n upstream sections in lsi = the precipitation intensity in l(sha)Ψm = the run-off coefficient of the catchment area that discharges towards sewer section m

8

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Qav

Figure 4 Typical diurnal pattern of wastewater production

Alternatively it is often assumed that the daily wastewater production takes place within ten hours of the day This is equivalent to a peak factor of p = 24

32 Stormwater discharge

Generation of stormwater discharge depends on the characteristics of the runoff surface Stormwater thatfallsonperviousareassuchaspublicgardensprivategardensetcisassumedtoinfiltrateintothe ground Water that falls on impervious areas such as roofs and roads largely runs off to a sewer systemThepercentageofwaterthatflowsintothesewagesystemthereforedependsupontheper-centageofimperviousareainaneighbourhoodoftenexpressedasarun-offcoefficientbetween0and1(0=100pervious1=100impervious)

Rational Method

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sections situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system Formorecomplexsystemscomputermodellingsoftwarehasbeendeveloped(egSobekInfoworks)The following relation between discharge and rain intensity is assumed

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 7: Design assignment poptahof

7

Design Assignment Poptahof

23 Surface Water

The Poptahof area is part of the Krakeelpolder with a target water level at NAP -150 m and a maximum water level variation of 040 m above target level

24 Ground levels and ground water levels

GroundlevelscanbefoundintheAutocadfileasprovidedonblackboard(lsquopoptahofdwgrsquo)Inthisfilethegroundlevelsaregivennexttothemanholes(G-numbersinfile)

In this area groundwater levels have been monitored at Poptahof Noord 194 A graph showing the groundwaterfluctuationsisgiveninfigure3

25 Pumping station

Wastewater has to be transported to the Krakeelpolder pumping station which has a capacity of 0142m3sItcanbeassumedthatthepumpingstationcapacityissufficienttoreceivewaterfromthePoptahof area

26 Drinking water consumption

For the calculation of the wastewater production it can be assumed that the water consumption per inhabitant is 140 litres per day which are consumed over a period of 10 hours The amount of water loss per inhabitant is 20 liters per day

The businesses in the shopping mall have an annual water consumption of about 3600 m3 the Toren-hove has a water consumption of about 1800 m3

27 Specific design requirements

- Theavailable capacity for storageof stormwater that falls on theareaneeds tobe sufficient tostorageatleast36mmofrainfall(equivalenttothevolumeofaT=10yrsstorm)Thiscapacityisneeded to store stormwater before it is being transported out of the area to prevent overloading of downstream areas during heavy rainfall

- Flooding frequency needs to be brought down to at least once per 2 years - A pressure main from the Zuidplantsoen pumping station crosses the area the situation of the pres-suremainmustbetakenintoaccountinthedesignofthelongitudinalprofileofthesewersystems(seeAutocadfilelsquopressuremainpoptahofdwgrsquoformoredetails)

- Stormwater runoff from the tramline cannot be directly discharged to surface water it needs to undergo some kind of treatment

Figure 3 2 years series of groundwater levels at the Poptahof Noord 194

8

CIE4491 Fundamentals of Urban Drainage

28 Intensity Duration Frequency Curves

The sewage system needs to be designed for a certain return period of rainfall which is decided upon bythedesignerCorrespondingrainfallintensitiesaretobederivedfromtheIDF-curves(seeChapter3)

Figure 4 Phases in the redevelopment of the area

9

Design Assignment Poptahof

3 Calculations

31 Wastewater production (dry weather flow)

The wastewater production can be calculated based on the number of inhabitants and the drinking waterconsumptiontakingintoconsiderationwaterlossesandpossibleinfiltrationofgroundwaterTheurban drinking water consumption comprises both domestic and industrial usage Water losses (leak-age)intoundergroundpipesoccurwhendrinkingwaterdoesnotendupinthesewagesystemegwater used to wash cars or to water the garden

The wastewater production is subject to a diurnal pattern as can be seen in Figure 4 In order to ac-count for this effect a so-called peak factor can be estimated as

av

25p 15

Q= + (1)

withp = peak factorQav = average daily waste water production in ls

peak factor

av

25p 15Q

= +

withp = peak factorQav= average waste water production in ls

Using table B2 in appendix B the wastewater production can be determined for the design of the sewage system

Figure 4 Wastewater production in 24 hours

34 Storm water quantities

The precipitation data is based on measurements in Lelystad from 1970 through 1984 Based on these measurements partial series have been derived for rain periods of 5 15 30 60 and 120 minutes The sewage system needs to be designed for the transportation of an amount of water that has a certain return period for example once every year or once every two years (see sect 36 for further information)

Not all water is actually being discharged towards the sewage system Storm water that falls at unpaved areas such as public gardens private gardens etc is supposed to infiltrate into the ground Water that falls at paved areas such as roofs and roads is supposed to fully flow into the sewage system The per-centage of water that flows into the sewage system therefore depends upon the percentage of paved area in a neighbourhood often expressed as a run-off coefficient between 0 and 1 (0=100 unpaved 1=100 paved)

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sec-tions situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system For more complex systems computer modelling software has been developed (eg Sobek Infoworks) The following relation between discharge and rain intensity is assumed

n

n m mm 1

Q i ( F )=

= times ψ timessumwithQn = the discharge in the system at a location with n upstream sections in lsi = the precipitation intensity in l(sha)Ψm = the run-off coefficient of the catchment area that discharges towards sewer section m

8

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Qav

Figure 4 Typical diurnal pattern of wastewater production

Alternatively it is often assumed that the daily wastewater production takes place within ten hours of the day This is equivalent to a peak factor of p = 24

32 Stormwater discharge

Generation of stormwater discharge depends on the characteristics of the runoff surface Stormwater thatfallsonperviousareassuchaspublicgardensprivategardensetcisassumedtoinfiltrateintothe ground Water that falls on impervious areas such as roofs and roads largely runs off to a sewer systemThepercentageofwaterthatflowsintothesewagesystemthereforedependsupontheper-centageofimperviousareainaneighbourhoodoftenexpressedasarun-offcoefficientbetween0and1(0=100pervious1=100impervious)

Rational Method

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sections situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system Formorecomplexsystemscomputermodellingsoftwarehasbeendeveloped(egSobekInfoworks)The following relation between discharge and rain intensity is assumed

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

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er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

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rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

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er

end

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er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

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iezo

met

ric le

vel

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ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

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adde

d

cum

t c

i

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r

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und

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l

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rt le

vel

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char

ge

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city

Vel

ocity

QrQ

oV

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ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

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A

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U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

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1

08

7-2

1

85

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0

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2

53

lt1

0

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3

780

750

623

585

145

228

060

290

1

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111

61

3

4

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0

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0

50

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0 0

35

105

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lt10

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7

50

7

30

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50

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060

406

1

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133

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0

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0

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6

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58

1

730

710

550

530

80

2

5 0

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65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

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5

00

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17

100

968

1

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133

7

2

6

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0

50

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lt10

92

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0

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0

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770

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630

575

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0

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lt10

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2 0

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7

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0 0

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endi

x

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e se

para

te s

ewag

e sy

stem

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orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 8: Design assignment poptahof

8

CIE4491 Fundamentals of Urban Drainage

28 Intensity Duration Frequency Curves

The sewage system needs to be designed for a certain return period of rainfall which is decided upon bythedesignerCorrespondingrainfallintensitiesaretobederivedfromtheIDF-curves(seeChapter3)

Figure 4 Phases in the redevelopment of the area

9

Design Assignment Poptahof

3 Calculations

31 Wastewater production (dry weather flow)

The wastewater production can be calculated based on the number of inhabitants and the drinking waterconsumptiontakingintoconsiderationwaterlossesandpossibleinfiltrationofgroundwaterTheurban drinking water consumption comprises both domestic and industrial usage Water losses (leak-age)intoundergroundpipesoccurwhendrinkingwaterdoesnotendupinthesewagesystemegwater used to wash cars or to water the garden

The wastewater production is subject to a diurnal pattern as can be seen in Figure 4 In order to ac-count for this effect a so-called peak factor can be estimated as

av

25p 15

Q= + (1)

withp = peak factorQav = average daily waste water production in ls

peak factor

av

25p 15Q

= +

withp = peak factorQav= average waste water production in ls

Using table B2 in appendix B the wastewater production can be determined for the design of the sewage system

Figure 4 Wastewater production in 24 hours

34 Storm water quantities

The precipitation data is based on measurements in Lelystad from 1970 through 1984 Based on these measurements partial series have been derived for rain periods of 5 15 30 60 and 120 minutes The sewage system needs to be designed for the transportation of an amount of water that has a certain return period for example once every year or once every two years (see sect 36 for further information)

Not all water is actually being discharged towards the sewage system Storm water that falls at unpaved areas such as public gardens private gardens etc is supposed to infiltrate into the ground Water that falls at paved areas such as roofs and roads is supposed to fully flow into the sewage system The per-centage of water that flows into the sewage system therefore depends upon the percentage of paved area in a neighbourhood often expressed as a run-off coefficient between 0 and 1 (0=100 unpaved 1=100 paved)

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sec-tions situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system For more complex systems computer modelling software has been developed (eg Sobek Infoworks) The following relation between discharge and rain intensity is assumed

n

n m mm 1

Q i ( F )=

= times ψ timessumwithQn = the discharge in the system at a location with n upstream sections in lsi = the precipitation intensity in l(sha)Ψm = the run-off coefficient of the catchment area that discharges towards sewer section m

8

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Qav

Figure 4 Typical diurnal pattern of wastewater production

Alternatively it is often assumed that the daily wastewater production takes place within ten hours of the day This is equivalent to a peak factor of p = 24

32 Stormwater discharge

Generation of stormwater discharge depends on the characteristics of the runoff surface Stormwater thatfallsonperviousareassuchaspublicgardensprivategardensetcisassumedtoinfiltrateintothe ground Water that falls on impervious areas such as roofs and roads largely runs off to a sewer systemThepercentageofwaterthatflowsintothesewagesystemthereforedependsupontheper-centageofimperviousareainaneighbourhoodoftenexpressedasarun-offcoefficientbetween0and1(0=100pervious1=100impervious)

Rational Method

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sections situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system Formorecomplexsystemscomputermodellingsoftwarehasbeendeveloped(egSobekInfoworks)The following relation between discharge and rain intensity is assumed

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

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26

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270

678

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06

9926

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800

508

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892

522

2622

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5327

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26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

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603

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6672

38

7668

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1250

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691

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1038

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1080

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712

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5

1500

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1332

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1350

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11

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102

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310

60

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109

519

344

511

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1994

02

1800

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2149

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2177

45

867

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21

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2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 9: Design assignment poptahof

9

Design Assignment Poptahof

3 Calculations

31 Wastewater production (dry weather flow)

The wastewater production can be calculated based on the number of inhabitants and the drinking waterconsumptiontakingintoconsiderationwaterlossesandpossibleinfiltrationofgroundwaterTheurban drinking water consumption comprises both domestic and industrial usage Water losses (leak-age)intoundergroundpipesoccurwhendrinkingwaterdoesnotendupinthesewagesystemegwater used to wash cars or to water the garden

The wastewater production is subject to a diurnal pattern as can be seen in Figure 4 In order to ac-count for this effect a so-called peak factor can be estimated as

av

25p 15

Q= + (1)

withp = peak factorQav = average daily waste water production in ls

peak factor

av

25p 15Q

= +

withp = peak factorQav= average waste water production in ls

Using table B2 in appendix B the wastewater production can be determined for the design of the sewage system

Figure 4 Wastewater production in 24 hours

34 Storm water quantities

The precipitation data is based on measurements in Lelystad from 1970 through 1984 Based on these measurements partial series have been derived for rain periods of 5 15 30 60 and 120 minutes The sewage system needs to be designed for the transportation of an amount of water that has a certain return period for example once every year or once every two years (see sect 36 for further information)

Not all water is actually being discharged towards the sewage system Storm water that falls at unpaved areas such as public gardens private gardens etc is supposed to infiltrate into the ground Water that falls at paved areas such as roofs and roads is supposed to fully flow into the sewage system The per-centage of water that flows into the sewage system therefore depends upon the percentage of paved area in a neighbourhood often expressed as a run-off coefficient between 0 and 1 (0=100 unpaved 1=100 paved)

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sec-tions situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system For more complex systems computer modelling software has been developed (eg Sobek Infoworks) The following relation between discharge and rain intensity is assumed

n

n m mm 1

Q i ( F )=

= times ψ timessumwithQn = the discharge in the system at a location with n upstream sections in lsi = the precipitation intensity in l(sha)Ψm = the run-off coefficient of the catchment area that discharges towards sewer section m

8

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Qav

Figure 4 Typical diurnal pattern of wastewater production

Alternatively it is often assumed that the daily wastewater production takes place within ten hours of the day This is equivalent to a peak factor of p = 24

32 Stormwater discharge

Generation of stormwater discharge depends on the characteristics of the runoff surface Stormwater thatfallsonperviousareassuchaspublicgardensprivategardensetcisassumedtoinfiltrateintothe ground Water that falls on impervious areas such as roofs and roads largely runs off to a sewer systemThepercentageofwaterthatflowsintothesewagesystemthereforedependsupontheper-centageofimperviousareainaneighbourhoodoftenexpressedasarun-offcoefficientbetween0and1(0=100pervious1=100impervious)

Rational Method

The discharge of water in a downstream section of a sewage system is the sum of discharges of all sections situated upstream of this section This principle of adding values is the basis of the so-called rational method The rational method can be used to calculate discharges in a branched sewage system Formorecomplexsystemscomputermodellingsoftwarehasbeendeveloped(egSobekInfoworks)The following relation between discharge and rain intensity is assumed

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

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8259

154

488

5990

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0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

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612

1080

84

1800

565

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573

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597

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1539

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613

1558

80

628

1597

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643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

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108

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346

679

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5168

95

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699

93

6271

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367

720

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7273

02

600

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990

23

5710

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2881

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54

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3197

25

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468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

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03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

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7318

215

479

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0819

568

536

2062

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6221

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587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

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800

508

2555

85

1525

892

522

2622

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5327

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583

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1230

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639

3212

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437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

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4

800

783

3935

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4148

2

900

843

5364

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6655

120

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5655

3

1000

901

7077

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715

950

7460

5

1250

103

612

718

110

65

1306

68

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406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 10: Design assignment poptahof

10

CIE4491 Fundamentals of Urban Drainage

n

n m mm 1

Q i ( F )=

= times ψ timessum (2)

withQn = the discharge in the system at a location with n upstream sections in lsi = theprecipitationintensityinl(sha)Ψm= therun-offcoefficientofthecatchmentareathatdischargestowardssewersectionlsquomrsquoFm = thecatchmentarea(imperviousarea)thatdischargestowardssewersectionlsquominha

The rational method is based on the following assumptions - The rain is spread evenly over the catchment area in other words the rain intensity is constant over

the catchment area - The intensity is constant for the duration of the rainfall - ThemaximumdischargeatarandomlocationPinthesewersystem(seeFigure5)isafunctionof

the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Fm = the catchment area (paved area) that discharges towards sewer section m in ha

The rational method is based on the following assumptions- The rain is spread evenly over the catchment area in other words the rain intensity is constant over the catchment area- The intensity is constant for the duration of the rainfall- The maximum discharge at a random location P in the sewer system (see figure 5) is a function of the average precipitation intensity that is associated with the time needed for a rain drop to travel from the furthest location in the system to location P in combination with the time needed for a rain drop to get into the sewer system via the earth surface

Furthest location

hallo The above-mentioned amount of time is called lsquoconcentration timersquo (tc)tc = to + tdto = The amount of time it takes a raindrop to get into the sewer system via the surface For this assignment it is assumed that to = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system to the location under considera-tion This amount depends upon the velocity of flow in the sewers and therefore upon the diameters of the pipes The rain intensity used in the calculations of the critical flow depends upon the con-centration time

Rainfall depth-duration-frequency curves are frequently used for the design of sewer systems (see figure 6) when applying the rational method These curves are of the formR = a (tr)b

with

R = rainfall in mma = constant with for each return period a specific value b = constant 0ltblt1tr = duration of rainfall in h

Rainfall depth-duration-frequency curves do not represent actual rain storms They exclusively give information on the frequency of a certain amount of rain (R) during a certain amount of time (tr) This frequency is always expressed as a return period eg once every two years (T=2) Each return period is associated with a different rainfall depth-duration curve For this assignment it is necessary to know the intensities which occur with a certain return period and

for a certain duration of rainfall These intensities can be derived from the rainfall depth-duration-frequency curves

withiT=n = the precipitation intensity in mmh for return period TRT=n = the amount of precipitation in mm for return period Ttr = the rainfall duration in hn = the return period in years

Depending on the function and development of the catchment area a sewer system is designed for an intensity that occurs with an acceptable return period A sewer system will never be designed for a maxi-

Figure 5 -Travel route

T n

T nr

Ri

t=

==

9

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 5 Travel route

The above-mentioned amount of time is called lsquoconcentration timersquo (tc)

c 0 dt t t= + (3)

witht0 = The amount of time it takes a raindrop to get into the sewer system via the surface For this

assignment it is assumed that t0 = 5 minutes and remains constanttd = The amount of time it takes a drop of rain to travel from the furthest location in a sewer system

tothelocationunderconsiderationThisamountdependsuponthevelocityofflowinthesew-ers and therefore upon the diameters of the pipes The rain intensity used in the calculations of thecriticalflowdependsupontheconcentrationtime

Intensity-Duration-Frequency (IDF) Curve

The occurrence of rainfall intensities for different return periods can be derived from a statistical analysis ofrainfallseriesThisinformationissummarizedinanIntensityDurationFrequencycurve(IDFcurve)IDFcurvesareusedintherationalmethodtofindadesignintensityforagivenconcentrationtimeandreturn period The choice for a return period is the result of an optimisation process between the costs

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 11: Design assignment poptahof

11

Design Assignment Poptahof

involvedinconstructingandmaintainingasewersystemversuseconomicandsocialbenefitsliketheprevention of damage and nuisance Three examples of IDF curves for different locations in the world are presented in Figure 6 Figure 7 and Figure 8

Figure 6 IDF curve based on rainfall data collected from location 1

Figure 7 IDF curve based on rainfall data collected from location 2

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

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196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

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2127

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224

282

12

2828

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231

289

82

3429

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237

297

42

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259

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500

252

494

52

5650

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522

92

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8054

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82

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299

587

83

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00

600

283

800

32

8781

20

291

823

62

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846

23

0385

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307

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330

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355

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6313

982

371

1428

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578

800

340

1708

33

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333

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1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

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876

404

2030

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1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

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5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

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06

474

930

34

9396

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512

1004

95

3010

402

547

1074

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075

600

424

1197

54

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132

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033

486

1373

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1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

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690

3470

17

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920

738

3709

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6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

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9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

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6241

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1038

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1080

70

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1121

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1160

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1199

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712

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5

1500

754

1332

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1603

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1743

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418

094

310

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109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

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1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 12: Design assignment poptahof

12

CIE4491 Fundamentals of Urban Drainage

The three IDF curves are from areas with a temperate maritime climate Mediterranean climate and a tropicalclimate(inrandomorder) - Based on the functions and the type of development a return period must be chosen and motivated

by the student - A rainfall intensity is then derived from one of the IDF curves and is used as hydraulic load for the

rational method calculations The choice for the IDF curve used should be motivated

33 The catchment areas

The amount of stormwater that is discharged into the sewer system depends on the size and charac-teristicsofthecatchmentStormwaterthatfallsonperviousareaslargelyinfiltratesintothegroundwhereasstormwaterthatfallsonimperviousareas(streetsside-walksroofs)runsoffandpredomi-nantly enters the sewer system

For hydraulic calculations it needs to be known which part of a catchment area runs off towards which sectionofthesewersystemAnexampleofamethodofallocatingcatchmentareastoaspecificsewersection is shown in Figure 9

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 8 IDF curve based on rainfall data collected from location 3

Figure 9 One method of allocating catchment areastospecificsewersections

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

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6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

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671

5273

87

0455

314

736

5777

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6660

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795

6241

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2364

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850

6672

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7668

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1250

673

8261

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8283

691

691

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3389

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9477

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846

1038

27

881

1080

70

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946

1160

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1199

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712

359

5

1500

754

1332

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1350

28

774

1367

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821

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865

1529

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908

1603

75

948

1675

11

987

1743

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102

418

094

310

60

1872

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109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

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7018

946

687

1943

8

700

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2768

57

3928

444

758

2918

4

800

783

3935

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431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

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2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 13: Design assignment poptahof

13

Design Assignment Poptahof

34 Hydraulic calculations

Hydraulic calculations are useful to understand and evaluate the systemrsquos behaviour given the load ap-plied

The diameters for wastewater sewers are determined by required capacity to transport wastewater flowwhilethediametersofcombinedandseparatestormwatersewersaredeterminedbytherequiredstormwater transport capacity

Whenpipesarepartiallyfilledasisthecaseofmostwastewatersewershydrauliccalculationsforgrav-ityflowconditionsapplyWhenpipesarefullyfilledasisthecaseofmanycombinedandstormwatersewersinflatareasliketheNetherlandshydrauliccalculationsforpressurisedflowapply

TheheadlossforflowthroughfullpipescanbedescribedusingtheDarcy-Weisbachformula

(4)

withΔh= headlossinmwatercolumnλ = frictionfactor(dimensionless)L = length of pipe mDh = diameter of pipe mu = velocityofflowmsg = acceleration of gravity ms2

ThefrictionfactorλcanbecalculatedusingtheformulaofWhite-Colebrook

1 251 k2 log

371DRe

= minus +

λ λ (5)

withRe= theReynoldsnumber=umiddotDνν = kinematicviscosityk = wall roughness m

Equation(5)canbeusedforanykindofpipethatisforallwallroughnessesThefirsttermbetweenthe brackets relates to hydraulically smooth pipes the second one to hydraulically rough pipes Concrete sewerpipes(k=15mm)canbeconsideredhydraulicallyroughsothatthefirsttermcanbeneglected(themaximumerrorthatisintroducedis25)

Hence the friction factor for hydraulically rough pipes can be calculated as

1 3712 log

k D

= λ (6)

RewritingtheformulaofDarcy-Weisbach(4)asfunctionoftheflowvelocityyields

1u 2gDI=

λ(7)

withI = thehydraulicgradient=ΔhL

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

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vQ

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vQ

vQ

250

161

788

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2015

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0660

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8910

75

1290

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9666

05

6199

051

574

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587

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66

599

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612

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565

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00

573

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01

581

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589

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14

597

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605

1539

17

613

1558

80

628

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643

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97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 14: Design assignment poptahof

14

CIE4491 Fundamentals of Urban Drainage

SubstitutionofλandRe=umiddotDνyieldstheformulaforthevelocityofflow

371u 2 2gDI log

k D

=

(8)

The discharge can be calculated for full pipes using

214Q u D= times π (9)

For each combination of pipe diameter D and gradient I the discharge Qandvelocityofflowu can be calculatedusingabove-mentionedformulaeforacompletelyfilledpipe

Thekinematicviscositydependsonthetemperatureandisdefinedas

6

15

497 10(T 425)

minussdotν =

+(10)

withT = temperature in degC

Based on above-mentioned formulae pairs of values for Q and u were calculated for a water tempera-ture of 10 degC and a wall roughness of 15 mm These values are provided in Appendix D

35 Design of the overflow construction

AnoverflowconstructioncanbeimplementedasarectangularoverflowweirForthisconstructionthefollowing formula applies

3 2Q 186Bh= (11)

withQ = overflowingdischargem3sB = width of the weir crest mh = overflowheightm

Foralternativeformsofanoverflowconstructionpleaserefer to literaturefor thecorrectdischargeformulae

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 15: Design assignment poptahof

15

Design Assignment Poptahof

4 Layout and Design

41 The preliminary layout

Wastewaterfromthedevelopmentareaneedstobetransportedtothepumpingstation(s)Fromthereit will be pumped towards a wastewater treatment plant In this assignment all wastewater has to be transportedtowardsthepumpingstation(s)underfree-flowconditions

For this assignment it is mandatory that the sewer system is branched

Respecting these conditions a draft layout can be designed using the following procedure - DeterminethedirectionofflowofstormwaterrunoffoverlandusingtheinformationaboutgroundlevelsintheareaDeterminethedirectionofflowsinthesewerpipestowardsapumpingstationstormwaterstoragefacilitycombinedseweroverflowsorstormwateroutflows

- Indicatethedirectionofflowinthesewerpipesonthemap - Indicate the manholes in the main sewer pipe - Determine which surface areas discharge into the which sections of the main sewer

42 Dimensioning of the sewer sections

After the preliminary layout of the system has been drafted the dimensions of each section of the main sewer pipe can be calculated starting at the location of the most upstream situated manhole The fol-lowing steps should be taken into account - futuredryweatherflow - intensity-duration-frequency curve for rainfall - catchment area per section - run-offcoefficientsperarea - infiltrationofgroundwater - available pipe diameters - thegroundcovershouldatleastbe1mtoprotectthesewerpipesagainsttrafficloadsandtoallow

for house connections - theaverageflowvelocityinthepipescannotexceed2ms

Appendix provides examples of hydraulic calculation tables An examplary hydraulic calculation for the layout in Figure 11 can be found at the end of Appendix B for a storm water system

The example tables include calculations of the piezometric levels at the upstream and downstream ends of pipe segments Compare these levels with the ground level at this points and check whether manhole flooding(iepiezometriclevelabovegroundlevel)occursIfitdoesthedesignshouldbechangedsothatnofloodingoccursThepiezometriclevelsalsoindicatewhetherapipeisfullorpartiallyfilledThecorresponding calculation formulas can be used accordingly

43 Final layout

Inthefinallayoutalldetailsneededforacompletedesignwillhavetobegiveninthedrawing

These are - The serial numbers and sizes of the catchment areas - Theserialnumbersofthemanholes(onlytheonesthatareconsideredincalculations)includingtheir

ground level and invert level - The lengths and diameters of the calculated sewer sections of the main sewer

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 16: Design assignment poptahof

16

CIE4491 Fundamentals of Urban Drainage

Figure 10 shows an example of the standard representation of above-mentioned parameters in the layout drawing

Figure 2 -Standard representation of sewer information

32 The catchment areasThe amount of storm water that is discharged into the sewage system depends on the size and char-acteristics of the catchment area Storm water that falls on unpaved areas largely infiltrates into the ground whereas storm water that falls on paved areas (streets side-walks roofs) runs off and predom-inantly enters the sewage system For hydraulic calculations it needs to be known which part of a catchment area runs off towards which section of a sewer pipe An example of a method of allocation of catchment areas to a specific sewer section is shown in figure 3

Figure 3 -Allocation of catchment area

33 Wastewater productionThe wastewater production can be calculated based on the number of inhabitants and the drinking water consumption taking into consideration water losses and possible infiltration of ground waterThe urban drinking water consumption comprises both the usage by companies and industries and by the population Water losses occur when drinking water does not end up in the sewage system eg water used to wash cars or to water the garden A laundry using large amounts of water is located at the Grote Markt Besides the normal wastewater production an extra discharge of wastewater flows here into the sewage system spread out evenly over 10 hours each dayLeakage out of the sewage system is negligible In those sewers with an invert level below 150m+NAP (the average ground water table) infiltration of ground water occurs

In appendix B an average wastewater production is calculated in ls per hectare catchment area However the wastewater production varies significantly over a time-span of one day as can be seen in figure 4 In order to take this effect into account the average production is multiplied by a so-called

7

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Catchmentcharateristics

Manholecharateristics

Pipecharateristics

Figure 10 Standard representation of sewer information

An example of a layout is given in Figure 11 and an exemplary longitudinal section is shown in Figure 12

After the layout of the system has been determined the dimensions of each section of the main sewer pipe can be calculated using the tables in appendices E or F and starting at the location of the most upstream situated manhole The following should take into account in the use of the tables- future dry weather flow- intensity-duration-frequency curve for rainfall- catchment area per section taking into account different wastewater productions per area (see sect 35)- run-off coefficients per area- infiltration of ground water- available pipe diameters and required minimum sewer pipe gradients- a minimum depth of cover of 10 meter to protect the sewer pipes against traffic loads and to enable house connections - a maximum excavation depth of 45 m- the elevation at both ends of the sections

The hydraulic tables should be filled out row by row For the layout in figure 9 an accompanying hydraulic calculation is presented in table 1 for a storm water system (not including the hydraulic control)When designing the system some restrictions have to be taken into account- The excavation depth cannot exceed 450 m - The ground cover should at least be 100 m- The average flow velocity in the pipes cannot exceed 3 ms

An example of a longitudinal section of (a downstream part of) the storm water system in figure 9 is shown in figure 10

Figure 9 -Example of a layout

670 1

800

623 2

780

585 3

750 550

4 730

500 6

700

660 7

800

630 8

760 560

9 710

640 10

780 600

11 750

568 12

730

560 13

700

I A 1 148

I C 2 144

II C 3 066

IIIBA

4 052

IIIC 5 040

I B 6 185

II A 7 300

I A 8 200

I A 9 220

II C 10 068

IIIB 11 132

IIIB 12 265

5 710 530 510

L=200 D=04 L=200 D=05

L=175 D=03 L=145

D=06

L=80 D=06

L=80 D=08

L=60 D=10

L=24

0 D

=05

L=24

0 D

=04

L=16

0 D

=04

L=160

L=160

D=04

L=90

L=90

D=0

6

17

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 11 Example of a layout

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

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1712

193

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1236

63

2612

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330

1270

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339

1303

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4713

359

355

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6313

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800

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1708

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4517

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93

5517

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359

1806

23

6418

298

369

1853

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7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

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7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

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2816

13

232

164

22

3616

72

241

170

02

4517

28

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5217

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256

181

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37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

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8535

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364

42

9537

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300

376

43

0438

22

309

388

03

1339

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318

399

33

2240

48

500

312

611

93

1862

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323

635

13

2964

63

335

657

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4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

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389

1098

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158

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1132

64

0611

492

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1165

54

1811

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700

386

1486

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151

401

1543

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0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

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1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

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349

171

33

6017

66

300

271

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42

7419

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63

2623

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340

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05

368

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8126

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393

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04

0528

65

400

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410

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3141

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335

420

93

5544

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375

470

73

9349

37

410

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74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

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03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

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6411

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600

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6113

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486

1373

95

1014

411

532

1505

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5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

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1230

755

639

3212

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6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

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2768

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3928

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2918

4

800

783

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825

4148

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900

843

5364

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6655

120

889

5655

3

1000

901

7077

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2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

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518

711

93

2108

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122

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629

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1800

130

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087

113

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137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 17: Design assignment poptahof

17

Design Assignment Poptahof

Manhole number

Ground level

Invert level

Sewer gradient permil

Distance section total

Diameter

Figure 10 -Longitudinal section of a storm water system

18

DESIGN AND CALCULATIONSASSIGNMENT CT4490

Figure 12 Longitudinal section of a storm water system

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

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6682

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079

489

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454

1155

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474

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484

1231

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512

1303

89

521

1327

01

530

1349

72

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1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

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195

956

300

181

127

91

8412

97

186

131

61

8913

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191

135

21

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70

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138

72

0114

22

206

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52

1114

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152

02

2015

52

400

218

274

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2127

81

224

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3429

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237

297

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259

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494

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92

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266

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92

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8054

98

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82

9357

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299

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83

0660

00

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283

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32

8781

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23

0385

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330

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2030

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377

2396

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2462

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2526

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892

417

2650

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435

2768

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1000

391

3072

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9731

178

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3162

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0832

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414

3248

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1932

914

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3496

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5535

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465

3652

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275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

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8259

154

488

5990

85

0061

390

512

6283

65

2464

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535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

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175

62

5217

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256

181

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37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

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290

364

42

9537

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300

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309

388

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1339

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318

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33

2240

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500

312

611

93

1862

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323

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13

2964

63

335

657

43

4066

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346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

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990

23

5710

091

363

1027

73

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459

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1063

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8210

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389

1098

73

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158

401

1132

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700

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1543

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1649

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1700

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4817

254

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1749

94

6117

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800

420

2113

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2821

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436

2193

44

4422

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2270

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5923

081

467

2345

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7423

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2417

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8824

527

495

2487

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0225

219

900

453

2881

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6229

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470

2990

44

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434

487

3095

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9531

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503

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1032

468

518

3295

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2633

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533

3391

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4034

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1000

484

3801

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9338

740

502

3945

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1140

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520

4083

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2941

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537

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6244

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4474

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7090

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8872

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606

618

7580

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2776

978

637

7813

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279

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8040

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1500

624

1102

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1123

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1184

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41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

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96

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2120

84

2000

746

2342

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760

2387

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774

2430

88

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2473

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2516

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2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

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8914

20

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148

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1515

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160

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2623

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340

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368

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8126

91

393

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04

0528

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400

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3141

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93

5544

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375

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73

9349

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2753

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14

5957

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474

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8961

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8274

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1080

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474

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9396

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512

1004

95

3010

402

547

1074

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6411

075

600

424

1197

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2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

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1123

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634

2441

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678

2610

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9926

904

800

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2555

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892

522

2622

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5327

816

583

2932

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1230

755

639

3212

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6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 18: Design assignment poptahof

18

CIE4491 Fundamentals of Urban Drainage

5 Hydrodynamic modelling of sewer systemsHydrodynamic modelling is applied to analyse the conveyance of water through the sewer system in more detail under dynamic conditions For this purpose the SOBEK-Urban modelling software is used which is made available by TU Delft and Deltares SOBEK-Urban consists of two combined modules a rainfall runoff component to simulate rainfall runoff processes and a hydrodynamic component to simu-latewaterflowthroughthepipesandothersystemcomponentsBasedonthedetaileddesignaSOBEKmodel of the system is to be built

51 SOBEK workshop

ASOBEKworkshopwillbeorganizedinweek4ofthecourseperiod(seecourseschedule)togetfamiliarwith the SOBEK software During the workshop you will individually build a SOBEK model and analyse the results which have to be written down in a report This SOBEK workshop report determines 10 of the overall course grade

52 SOBEK modeling in design assignment

The SOBEK modelling consists of the following steps

Implement design in SOBEK

The detailed design of the sewer system by rational method is implemented in SOBEK The following steps guide you through this

Setting up a new network in SobekOpen programSelect New Project Select new Case

Go to Task block lsquoSettingsrsquoSelect modules SOBEK-Urban 1DFLOW and RR modules

Go to Task block lsquoImport networkrsquoThe Import network window will pop up select lsquoStart from Scratchrsquo

Go to Task block lsquoMeteorological datarsquoSelectaprecipitationevent(anyeventthiscanlaterbechangedbeforeyoustartthesimulation)

Go to Task block lsquoSchematisationrsquoSelect lsquoEdit modelrsquo

Go to Edit select NetworkThe lsquoEdit networkrdquo Toolbar will now appear in the Toolbar section of the screenFromdropdownmenuchooselsquoNodesrsquo(severaloptionsforaddingmovingconnectingnodes)Addattributestonodesandconnections(selectnodeconnectionrightmousebuttonmodeldataetc)Note the standard connection type is a trapezium channel change into pipe for sewers

Running the SOBEK model

Set up your model by implementing all sewer pipe diameters as calculated by the rational method Cre-ate a stationary rainfall event in SOBEK that is representative for the design conditions you applied in the rational method calculation Then run the SOBEK model and analyze your results After that change yourpipediameterstoaminimumwithoutfloodingoccurring

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

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36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

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Dia

met

er

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dien

t(10

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37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

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met

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dien

t(10

^-3)

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mm

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38

APPENDICESASSIGNMENT CT4490

Page 19: Design assignment poptahof

19

Design Assignment Poptahof

Run the model again but now by implementing other rainfall events which are included in the SOBEK softwareTherainfalleventsto implementareSTNBUI08(T=2yrs)STNBUI09(T=5yrs)andSTN-BUI10(T=10yrs)Analyseyourresultsaftereachmodelrun

Changes in the SOBEK model

Sewer systems deteriorate due to aging overloading misuse and mismanagement In order to ensure sewer service availability such systems have to be properly maintained

In this step the effects of different defects commonly found in sewer systems are evaluated Sewer conditionsaredeterminedbyvisualinspectionndashclosedcircuittelevision(CCTV)Thedefectsareregis-tered according to the visual inspection coding Standard NEN-EN 13508-2 while the Standard NEN 3399 is used to assign a level of severity to each defect - condition assessment Table 51 shows inspection results from 2013 from your area Locations of defects in the system will be selected by the supervisor when the detailed design is implemented in SOBEK

Implement all changes at once in your SOBEK model Run the model and analyse the results After that implementthechangesagainonebyoneinordertoassesswhichofthedefectshasthemostinfluenceontheoccurrenceofflooding

SuggestamaintenancestrategyafteranalysingallresultsMotivateyourchoicesinyourfinalreport

Code Description Class SOBEK calculation changesBAF surface damage 3

445

k = 17 mmk = 3 mmk = 45 mmk = 6 mm

BBB attached deposits 3344

pipe diameter decrease 15pipe diameter decrease 20pipe diameter decrease 35pipe diameter decrease 45

- measured slope (settlement)

- slope is 00slope decrease 35slope decrease 55slope decrease 70

53 Reporting of hydraulic modelling results

Inthefinalreportcomment(fortheSOBEKcalculations)onthedifferencesbetweenrainfallinputsatwhatlocationsfloodingoccursandwhataretheeffectsofchangestothesystemtoincreasethereturnperiodoffloodingNexttothatcommentonthedifferencesbetweenresultsoftherationalmethodcalculations and SOBEK calculations Furthermore discuss the model output after changing parameters related to defects and comment on the maintenance strategy that you suggest

Table 1 CCTV inspection results

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

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31

205

257

42

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212

265

92

1527

00

500

202

397

52

0740

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211

415

32

1642

39

220

432

32

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228

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72

3345

66

237

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4047

21

244

479

72

4848

72

600

228

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238

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12

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247

699

62

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257

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12

6173

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266

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62

7076

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275

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42

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84

700

251

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12

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79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

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096

293

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62

9811

473

303

1165

73

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273

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52

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044

285

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72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

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44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

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20

291

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62

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299

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23

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322

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73

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366

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377

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63

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74

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391

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403

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1707

75

685

1743

00

2000

603

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64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

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2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

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3)

Gra

dien

t(10

^-3)

G

radi

ent(

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3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

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227

111

62

3111

32

234

114

82

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300

224

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32

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13

232

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2487

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25

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1000

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44

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4083

85

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4217

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4542

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4474

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1241

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713

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1800

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1777

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712

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45

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1844

72

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750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

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2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

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14

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06

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34

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512

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547

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510

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011

47

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80

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202

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26

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126

432

154

4

2000

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79

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122

438

448

412

67

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130

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104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

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91

530

666

0

500

580

1139

65

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612

1201

4

600

652

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06

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1943

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700

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57

3928

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4

800

783

3935

28

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431

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4148

2

900

843

5364

98

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120

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5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

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5

1500

116

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711

93

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122

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629

2

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113

36

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137

134

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9

2000

138

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599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 20: Design assignment poptahof

20

CIE4491 Fundamentals of Urban Drainage

Appendix A Demands of the future network manager

A1 General requirements

- Minimal diameter of 315 mm for non-pressurised pipes - Minimal diameter of 63 mm for pressurised pipes - Note that for PVC pipes nominal diameters are external diameters For all other pipe types nominal

diameters are internal diameters This must be taken into account for the hydraulic calculations - Maximumflowvelocityinpressurisedpipesof20ms - Maximumfillingofnon-pressurisedpipesof50 - Pipe material PVC - Minimal cover of the pipes of 100 m for residential streets - Minimal cover of the pipes of 160 m for main streets - Maximal length of pipe section between manholes of 70 m - Restricted number of different pipe typesdiameters - Thereturnperiodforfloodingshouldbechosenatanacceptablelevelpleasemotivateyourchoice - A reservation should be made for a future installation of a rainwater treatment facility - If possible rain water pipes must be located above waste water pipes - No height jumps in the sewer system - Minimalgradientof1250inthefirstsectionandof1500inallothersections - Sewers that are constructed on piles must be made from reinforced concrete PVC is not allowed

A2 Intersection of wastewater and stormwater pipes

For the intersection of wastewater and stormwater pipes there are two possible design options - The rainwater pipe is conducted via an inverted siphon below the wastewater pipe - Thewastewater pipe crosses amanhole in the rainwater collection system rainwater is flowing

through the manhole whereas the wastewater pipe crosses the manhole

A3 Intersection of water collection pipes and surface water bodies

For the intersection of waste- or stormwater pipes with ditches there are two possible design options - The whole waste- or storm water collection system is located at least one metre below the bottom

level of the surface water body - An inverted siphon is used locally at the intersection with the ditch

NB In the municipality of Delft there are about 100 inverted siphons in the wastewater collection system and about 200 to 300 inverted siphons in the separate stormwater collection systems Inverted siphons and pipes crossing manholes however are prone to blockage and accumulation of debris

A4 Ground water leakage

The pipes in the municipality of Delft are for the most part located below the groundwater table As a consequencethedryweatherflowcanconsistofupto50groundwaterThisfactmustbetakenintoaccountwhendesigningthewastewatercollectionsystemAsaroughestimategroundwaterinfiltra-tion in this assignment can be assumed to amount to approximately 03 litre per second per hectare

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

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146

715

148

727

151

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153

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156

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454

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07

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594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

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250

161

788

163

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165

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167

822

170

833

172

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174

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178

876

183

897

187

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195

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300

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91

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k= 1

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Dia

met

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Gra

dien

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G

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Gra

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G

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mm

260

027

00

280

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320

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340

035

00

360

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00

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66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

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42

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302

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33

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33

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met

er

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dien

t(10

^-3)

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radi

ent(

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3)

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dien

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^-3)

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00

100

00

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vQ

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250

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0

38

APPENDICESASSIGNMENT CT4490

Page 21: Design assignment poptahof

21

Design Assignment Poptahof

A5 Connection of pressurised and non-pressurised pipes

The most important requirement in relation to the connection of a pressurised main to a gravity sewer main is that the pressurised main should always release its discharge under water to avoid odour nui-sance Wastewater from pressurised mains suffers from oxygen depletion especially for longer mains As a result hydrogen sulphide and methane gases are formed These gases are released as the water enters from the pressurised main into a gravity sewer Discharging water from the pressurised main under water prevents most of the gas from rising to the urban surface where they would cause odour nuisance

Thisrequirementcanbefulfilledbyconnectingthepressurisedmaintoamanholethatisalwaysfilledwith water This is realised by placing weir in the manhole where it connects to the gravity sewer

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

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344

2187

63

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355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

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1250

362

4440

73

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407

378

4638

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393

4828

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204

408

5010

94

1650

997

423

5187

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3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

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474

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8185

079

489

8644

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9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

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72

539

1372

06

548

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2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

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67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

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33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

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414

3248

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1932

914

424

3333

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159

445

3496

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5535

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465

3652

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7537

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1250

450

5522

64

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463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

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4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

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574

1013

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587

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66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

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22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

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492

412

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54

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816

700

386

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83

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151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

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94

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800

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54

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527

495

2487

55

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2881

54

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365

470

2990

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434

487

3095

54

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468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

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554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

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6769

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578

7090

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598

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26

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606

618

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2776

978

637

7813

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279

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8040

56

6481

515

1500

624

1102

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636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

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703

1241

98

713

1260

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26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

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486

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411

532

1505

25

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615

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920

700

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7318

215

479

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85

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568

536

2062

85

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636

587

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634

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26

5725

270

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639

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738

3709

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6138

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900

548

3484

55

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562

3575

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9637

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628

3997

66

5941

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688

4379

67

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744

4730

97

7048

971

795

5057

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2052

136

1000

585

4596

95

9346

570

601

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671

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314

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77

6660

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1500

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28

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101

625

861

510

62

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110

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116

011

47

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118

730

202

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26

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126

432

154

4

2000

902

2832

26

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2869

31

925

2905

89

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3082

30

103

432

491

410

85

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113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

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104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 22: Design assignment poptahof

22

CIE4491 Fundamentals of Urban Drainage

Appendix B Hydraulic Calculations

1

2

3

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

S

ectio

n

Orig

in

D

RY

WE

ATH

ER

FLO

W

R

AIN

FALL

RU

NO

FF

TOTA

L D

ISC

HA

RG

E

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

com

pany

C

atch

men

t are

a

Dom

estic

and

indu

stria

l w

aste

wat

er

In

filtra

tion

P

eak

disc

harg

e

C

atch

men

t are

a C

once

ntra

tion

time

Rai

n in

tens

ityD

isch

arge

ad

ded

A

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cu

m

ΣqA

ad

ded

cu

m

Q

p 8+

10

runo

ff co

ef

Ψ

ad

ded

ΨA

cu

m

ΣΨA

t c

i

Qr =

iA

Qp

+ Q

r

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

ha

ha

min

lsh

a

ls

ls

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

com

bine

d se

wag

e sy

stem

Page

1

Cal

cula

tion

of d

isch

arge

25

APPENDICESASSIGNMENT CT4490

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

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9477

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1038

27

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70

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1160

92

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1199

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100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

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52

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908

1603

75

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1675

11

987

1743

56

102

418

094

310

60

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109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

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2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 23: Design assignment poptahof

23

Design Assignment Poptahof

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

Se

ctio

n

PR

OP

OS

ED

CO

ND

UIT

H

YDR

AU

LIC

CO

NTR

OL

R

EM

AR

KS

fro

m

man

hole

to

m

anho

le

Elev

atio

n Le

ngth

Sl

ope

Size

Fu

ll pi

pe

Pe

ak

dry

wea

ther

flow

Parti

ally

fille

d pi

pe

Piez

omet

ric le

vel

G

roun

d le

vel

Inve

rt le

vel

D

is

capa

city

Vel

ocity

Q

pQ

o V

eloc

ity

QrQ

o

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

Ac

tual

co

ncen

tratio

n tim

e

up

do

wn

up

dow

n

Qo

v o

no

no

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

ms

ms

m

m N

AP

m N

AP

m

in

App

endi

x H

ydra

ulic

cal

cula

tions

com

bine

d se

wag

e sy

stem

Page

2 P

ropo

sed

cond

uit

26

APPENDICESASSIGNMENT CT4490

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

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519

9169

45

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533

9421

05

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547

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574

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587

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1058

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612

1080

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1800

565

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00

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589

1499

14

597

1519

28

605

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17

613

1558

80

628

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34

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1634

97

657

1671

75

671

1707

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685

1743

00

2000

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1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

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2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

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312

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93

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537

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624

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647

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1260

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1315

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1800

699

1777

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712

1811

45

725

1844

72

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750

1909

53

763

1941

13

775

1972

21

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2002

82

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97

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833

2120

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2000

746

2342

38

760

2387

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774

2430

88

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28

814

2557

91

827

2598

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840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

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67

474

595

64

8961

40

500

377

740

03

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34

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54

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486

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2000

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04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

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294

94

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0

38

APPENDICESASSIGNMENT CT4490

Page 24: Design assignment poptahof

24

CIE4491 Fundamentals of Urban Drainage

27

ASSIGNMENT CT4490 APPENDICES 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Se

ctio

n

Orig

in

D

RY

WEA

THER

FLO

W

PR

OPO

SED

CO

ND

UIT

REM

ARKS

fro

m

man

ho

le

to

man

ho

le

C

atch

men

t ar

ea

D

omes

tic a

nd in

dust

rial

was

tew

ater

In

filtra

tion

Pe

ak

disc

harg

e

El

evat

ion

Leng

th

Slop

e Si

ze

Fu

ll pi

pe

Peak

dis

char

ge

G

roun

d le

vel

Inve

rt le

vel

su

rface

br

anch

co

mpa

ny

adde

dA

cu

m

ΣA

disc

harg

e q

disc

harg

eqA

cum

Σq

A

adde

d cu

m

Q

p 8+

10

up

do

wn

up

do

wn

L

I

C

ap

Qo

Velo

city

Qp

Qo

Velo

city

no

no

ha

ha

ls

ha

ls

ls

ls

ls

ls

m

NAP

m

N

AP

m

N

AP m

NAP

m

permil

m

ls

m

s

ms

Appe

ndix H

ydra

ulic

cal

cula

tions

sepa

rate

sew

age

syst

em

W

aste

wat

er s

yste

m

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

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03

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393

278

04

0528

65

400

326

410

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335

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93

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410

515

74

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68

443

557

14

5957

67

474

595

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740

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432

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411

532

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568

536

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688

4379

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744

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7048

971

795

5057

88

2052

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1000

585

4596

95

9346

570

601

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46

3750

029

671

5273

87

0455

314

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1500

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528

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011

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202

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126

432

154

4

2000

902

2832

26

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31

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2905

89

981

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30

103

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410

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84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 25: Design assignment poptahof

25

Design Assignment Poptahof

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

Sec

tion

Orig

in

R

AIN

FALL

RU

NO

FF

PR

OP

OS

ED

CO

ND

UIT

HYD

RA

ULI

C C

ON

TRO

L

RE

MA

RK

S

from

m

anho

le

to

man

hole

surfa

ce

bran

ch

Cat

chm

ent a

rea

Con

cen

tratio

n tim

e

R

ain

inte

nsity

Dis

char

ge

Ele

vatio

n Le

ngth

Slo

pe

Siz

e Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

Act

ual

conc

en

tratio

n tim

e

area

runo

ffco

ef ad

ded

cum

t c

i

Q

r G

roun

d le

vel

Inve

rt le

vel

D

is

capa

cV

eloc

ity Q

rQo

Vel

ocity

Vel

ocity

h

Upp

er

end

Low

er

end

A

Ψ

Ψ

A

ΣΨA

up

do

wn

up

do

wn

Q

o

v o

no

no

ha

ha

ha

min

lsh

a

ls

m N

AP

m N

AP

m N

AP

m N

AP

m

permil

m

ls

m

s

ms

ms

m

m N

AP

m N

AP

m

in

A

ppen

dix

Hyd

raul

ic c

alcu

latio

ns

se

para

te s

ewag

e sy

stem

Storm

wat

er s

yste

m

28

ASSIGNMENT CT4490 APPENDICES

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

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lt1

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18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

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61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 26: Design assignment poptahof

26

CIE4491 Fundamentals of Urban Drainage

20

Exa

mpl

e of

des

ign

calc

ulat

ion

for a

sep

arat

e se

wer

sys

tem

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

28

29

S

ectio

n

of

R

AIN

FALL

RU

NO

FF

P

RO

PO

SE

D C

ON

DU

IT

H

YDR

AU

LIC

CO

NTR

OL

RE

MA

RK

S

from

m

anho

le

to

man

hole

Are

a

C

atch

men

t are

a C

once

n tra

tion

time

R

ain

inte

nsity

Dis

char

ge

E

leva

tion

Leng

thS

lope

S

ize

Fu

ll pi

pe

Par

tially

fille

d pi

pe

P

iezo

met

ric le

vel

A

ctua

l co

nc

time

Bra

nch

Are

a R

un-

off

coef

adde

d

cum

t c

i

Q

r

Gro

und

leve

l

Inve

rt le

vel

Dis

char

ge

capa

city

Vel

ocity

QrQ

oV

eloc

ityV

eloc

ity

Hyd

r G

rad

U

pper

en

d Lo

wer

en

d

A

Ψ

Ψ

A

ΣΨ

A

U

p D

own

Up

Dow

n

Qo

v o

nr

nr

ha

ha

ha

m

in

ls

ha

ls

m

NA

P m

NA

P m

NA

P m

NA

P

m

permil

m

ls

ms

m

s

m

s

permil

m

NA

P m

NA

P

min

1

2

1

148

0

35

052

052

lt10

92

48

8

00

7

80

6

70

6

23

17

5

27

030

51

0

72

94

076

38

2

3

2

1

44

075

1

08

7-2

1

85

050

0

93

2

53

lt1

0

92

23

3

780

750

623

585

145

228

060

290

1

04

80

111

61

3

4

3

0

66

075

0

50

8-3

3

0 0

35

105

408

lt10

92

375

7

50

7

30

5

85

5

50

80

44

060

406

1

44

92

133

72

4

5

4

0

52

050

0

26

12-4

1

98

6

32

lt1

0

92

58

1

730

710

550

530

80

2

5 0

80

65

3

130

89

1

39

8

2

5

6

5

040

0

75

030

9-

5

265

0

50

133

13

-5

132

0

50

066

861

lt10

92

792

7

10

7

00

5

10

5

00

60

17

100

968

1

23

82

133

7

2

6

185

0

50

093

lt10

92

86

8

00

7

80

6

60

6

23

16

0

23

040

100

0

80

86

086

8

3

7

30

035

1

05

lt1

0

92

97

770

750

630

575

240

2

3 0

40

10

0

080

97

0

83

10

11

8

2

0 0

35

070

lt10

92

64

7

80

7

50

6

40

6

00

20

0

20

040

94

0

74

68

078

43

11

12

9

2

2 0

35

077

147

lt10

92

135

7

50

7

30

6

00

5

68

20

0

16

050

151

0

77

90

082

83

12

4

10

0

68

075

0

51

1

98

lt1

0

92

18

2

730

730

568

556

90

135

060

224

0

79

81

085

101

9

5 12

265

05

1

33

lt1

0

92

12

2

710

710

560

520

240

161

050

151

0

77

81

083

13

5 11

132

05

0

66

lt1

0

92

61

700

710

560

528

160

2

0 0

40

94

075

65

0

79

App

endi

x

Tabl

e se

para

te s

ewag

e sy

stem

St

orm

wat

er s

yste

m

2929

APPENDICESASSIGNMENT CT4490

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 27: Design assignment poptahof

27

Design Assignment Poptahof

Appendix C Hydraulic Properties of Partially Filled Circu-lar Pipes

C1 Graphical representation

Figure13showstherelationbetweenwaterdepthinthepipeandtheflowvelocityandthedischargerespectively

H = water depthD = pipe diameterv = flowvelocityinapartiallyfilledpipeQ = dischargeinapartiallyfilledpipeVfull = full pipe velocityQfull = full pipe discharge

QQfull

vvfull

Figure 13 Velocityanddischargeinpartiallyfilledpipes

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 28: Design assignment poptahof

28

CIE4491 Fundamentals of Urban Drainage

C2 Characteristic values for partially filled circular pipes

Appendix G Characteristic values for partially filled circular pipes QQfull hD VVfull RD QQfull hD VVfull RD QQfull hD VVfull RD

0001 0023 017 00152 0210 0309 080 01751 0805 0701 108 02964

0002 0032 021 00210 0220 0316 081 01784 0810 0705 108 02969

0003 0038 024 00249 0230 0324 082 01820 0815 0709 108 02974

0004 0044 026 00287 0240 0331 083 01851 0820 0713 108 02979

0005 0049 028 00319 0250 0339 084 01887 0825 0717 108 02984

0006 0053 029 00345 0260 0346 085 01918 0830 0721 108 02989

0007 0057 030 00370 0270 0353 086 01948 0835 0725 108 02993

0008 0061 032 00395 0280 0360 086 01978 0840 0729 107 02997

0009 0065 033 00420 0290 0367 087 02007 0845 0734 107 03002

0010 0068 034 00439 0300 0374 088 02037 0850 0738 107 03006

0011 0071 035 00458 0310 0381 089 02066 0855 0742 107 03010

0012 0074 036 00476 0320 0387 089 02090 0860 0747 107 03014

0013 0077 036 00495 0330 0394 090 02118 0865 0751 107 03018

0014 0080 037 00513 0340 0401 091 02146 0870 0756 107 03022

0015 0083 038 00532 0350 0407 092 02170 0875 0761 107 03025

0016 0086 039 00550 0360 0414 092 02197 0880 0766 107 03028

0017 0088 039 00562 0370 0420 093 02221 0885 0770 107 03031

0018 0091 040 00581 0380 0426 093 02243 0890 0775 107 03033

0019 0093 041 00593 0390 0433 094 02269 0895 0781 107 03036

0020 0095 041 00605 0400 0439 095 02291 0900 0786 107 03038

0022 0100 042 00635 0410 0445 095 02313 0905 0791 107 03040

0024 0104 043 00659 0420 0451 096 02334 0910 0797 107 03041

0026 0108 045 00683 0430 0458 096 02359 0915 0803 106 03042

0028 0112 045 00707 0440 0464 097 02380 0920 0808 106 03043

0030 0116 046 00731 0450 0470 097 02401 0925 0814 106 03043

0032 0120 047 00755 0460 0476 098 02420 0930 0821 106 03043

0034 0123 048 00772 0470 0482 099 02441 0935 0827 106 03042

0036 0127 049 00796 0480 0488 099 02461 0940 0834 105 03040

0038 0130 050 00813 0490 0494 100 02481 0945 0841 105 03037

0040 0134 050 00837 0500 0500 100 02500 0950 0849 105 03033

0045 0141 052 00877 0510 0506 100 02519 0955 0856 105 03029

0050 0149 054 00923 0520 0512 101 02538 0960 0865 104 03022

0055 0156 055 00963 0530 0519 101 02559 0965 0874 104 03014

0060 0163 057 01002 0540 0525 102 02577 0970 0883 104 03004

0065 0170 058 01042 0550 0531 102 02595 0975 0894 103 02989

0070 0176 059 01075 0560 0537 102 02612 0980 0905 103 02972

0075 0182 060 01108 0570 0543 103 02629 0985 0919 102 02946

0080 0188 061 01141 0580 0550 103 02649 0990 0935 102 02908

0085 0194 062 01174 0590 0556 103 02665 0995 0956 101 02844

0090 0200 063 01206 0600 0562 104 02681 1000 1000 100 02500

0095 0205 064 01233 0610 0568 104 02697

0100 0211 065 01265 0620 0575 104 02715

0105 0216 066 01291 0630 0581 105 02731

0110 0221 067 01317 0640 0587 105 02745

0115 0226 068 01343 0650 0594 105 02762

0120 0231 069 01369 0660 0600 105 02776

0125 0236 069 01395 0670 0607 106 02793

0130 0241 070 01421 0680 0613 106 02806

0135 0245 071 01441 0690 0620 106 02821

0140 0250 072 01466 0700 0626 106 02834

0145 0255 072 01491 0710 0633 106 02848

0150 0259 073 01511 0720 0640 107 02862

0155 0263 074 01531 0730 0646 107 02874

0160 0268 074 01556 0740 0653 107 02887

0165 0272 075 01575 0750 0660 107 02900

0170 0276 076 01595 0760 0667 107 02912

0175 0281 076 01619 0770 0675 107 02925

0180 0285 077 01638 0780 0682 107 02936

0190 0293 078 01676 0790 0689 107 02947

0200 0301 079 01714 0800 0697 107 02958

30

ASSIGNMENT CT4490 APPENDICES

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 29: Design assignment poptahof

29

Design Assignment Poptahof

Appendix D Hydraulic Calculations of PipesA

ppen

dix

H H

ydra

ulic

cal

cula

tions

of p

ipes

k=1

5 m

m

T= 1

0degC

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

010

012

014

016

018

020

022

024

026

028

030

032

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

012

58

013

63

014

69

015

74

016

78

017

83

018

87

019

91

019

95

020

98

021

102

021

105

300

013

94

015

103

016

112

017

120

018

128

019

135

020

142

021

148

022

154

023

160

023

166

024

172

400

016

203

018

223

019

242

021

259

022

275

023

290

024

305

025

319

026

332

027

345

028

357

029

369

500

019

368

021

404

022

437

024

468

025

498

027

525

028

551

029

576

031

600

032

624

033

646

034

667

600

021

597

023

656

025

710

027

760

029

807

030

852

032

894

033

935

034

974

036

101

10

3710

47

038

108

2

700

023

899

026

987

028

106

80

3011

43

032

121

40

3312

81

035

134

50

3714

06

038

146

40

4015

20

041

157

40

4216

27

800

025

128

10

2814

06

030

152

10

3216

28

034

172

80

3618

24

038

191

40

4020

01

041

208

40

4321

63

045

224

00

4623

15

900

027

174

90

3019

19

033

207

60

3522

22

037

235

90

3924

89

041

261

20

4327

30

045

284

40

4629

52

048

305

70

5031

59

1000

029

231

00

3225

35

035

274

20

3729

35

040

311

60

4232

87

044

345

00

4636

05

048

375

40

5038

98

051

403

70

5341

71

1250

034

416

20

3745

66

040

493

80

4352

85

046

561

00

4859

17

051

621

00

5364

90

055

675

80

5770

16

059

726

50

6175

06

1500

038

672

70

4273

80

045

798

00

4885

39

051

906

30

5495

60

057

1003

20

5910

483

062

1091

60

6411

332

066

1173

40

6912

123

1800

043

1086

70

4711

919

051

1288

70

5413

788

058

1463

40

6115

434

064

1619

60

6716

923

069

1762

10

7218

292

074

1894

00

7719

567

2000

046

1433

20

5015

719

054

1699

40

5818

181

061

1929

60

6520

351

068

2135

40

7122

313

074

2323

20

7724

117

079

2497

10

8225

797

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

340

360

380

400

420

440

460

480

500

520

540

56

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

022

109

023

112

023

115

024

118

025

121

025

124

026

127

026

130

027

132

028

135

028

138

029

140

300

025

177

026

182

026

187

027

192

028

197

029

202

029

207

030

211

030

215

031

220

032

224

032

228

400

030

381

031

392

032

403

033

414

034

424

035

434

035

444

036

454

037

463

038

473

038

482

039

491

500

035

688

036

709

037

728

038

748

039

766

040

785

041

803

042

820

043

837

044

854

044

871

045

887

600

039

111

60

4111

49

042

118

10

4312

12

044

124

20

4512

72

046

130

10

4713

29

048

135

70

4913

84

050

141

10

5114

37

700

044

167

80

4517

27

046

177

50

4718

22

049

186

70

5019

12

051

195

50

5219

98

053

204

00

5420

80

055

212

10

5621

60

800

047

238

70

4924

57

050

252

60

5225

92

053

265

70

5427

20

055

278

20

5728

42

058

290

20

5929

60

060

301

70

6130

73

900

051

325

70

5333

53

054

344

60

5635

37

057

362

50

5837

11

060

379

60

6138

78

062

395

90

6340

38

065

411

60

6641

92

1000

055

430

10

5644

27

058

454

90

5946

69

061

478

50

6248

99

064

501

00

6551

19

067

522

60

6853

30

069

543

30

7055

34

1250

063

773

90

6579

66

067

818

60

6884

01

070

861

10

7288

15

073

901

50

7592

11

077

940

20

7895

90

080

977

40

8199

55

1500

071

1249

90

7312

865

075

1322

10

7713

567

079

1390

50

8114

235

082

1455

70

8414

873

086

1518

20

8815

485

089

1578

20

9116

074

1800

079

2017

40

8220

764

084

2133

70

8621

896

088

2244

10

9022

973

092

2349

30

9424

002

096

2450

10

9824

989

100

2546

81

0225

939

2000

085

2659

70

8727

374

090

2813

00

9228

866

094

2958

40

9630

285

099

3097

01

0131

641

103

3229

81

0532

942

107

3357

31

0934

193

31

APPENDICESASSIGNMENT CT4490

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 30: Design assignment poptahof

30

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Mm

0

580

600

620

640

660

680

700

720

740

760

780

80

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

029

143

030

145

030

148

031

150

031

153

032

155

032

157

033

160

033

162

033

164

034

166

034

168

300

033

232

033

236

034

240

035

244

035

248

036

252

036

256

037

259

037

263

038

267

038

270

039

274

400

040

500

040

508

041

517

042

525

042

533

043

542

044

550

044

557

045

565

046

573

046

581

047

588

500

046

903

047

918

048

934

048

949

049

964

050

979

051

993

051

100

70

5210

21

053

103

50

5310

49

054

106

2

600

052

146

30

5314

88

054

151

30

5415

38

055

156

20

5615

85

057

160

90

5816

32

059

165

50

5916

77

060

169

90

6117

21

700

057

219

90

5822

37

059

227

40

6023

11

061

234

70

6223

83

063

241

80

6424

52

065

248

70

6525

20

066

255

40

6725

87

800

062

312

80

6331

82

064

323

50

6532

87

066

333

90

6733

89

068

343

90

6934

89

070

353

70

7135

85

072

363

20

7336

79

900

067

426

70

6843

41

069

441

30

7044

85

072

455

50

7346

24

074

469

20

7547

59

076

482

50

7748

91

078

495

50

7950

19

1000

072

563

30

7357

30

074

582

50

7559

19

077

601

20

7861

03

079

619

30

8062

81

081

636

90

8264

55

083

654

00

8466

24

1250

083

1013

30

8410

307

085

1047

90

8710

648

088

1081

40

8910

978

091

1114

00

9211

299

093

1145

60

9511

611

096

1176

40

9711

915

1500

093

1636

10

9416

642

096

1691

90

9717

192

099

1746

01

0017

725

102

1798

51

0318

242

105

1849

51

0618

745

107

1899

21

0919

235

1800

104

2640

11

0626

855

107

2730

21

0927

742

111

2817

41

1228

601

114

2902

11

1629

435

117

2984

31

1930

246

120

3064

41

2231

036

2000

111

3480

21

1335

401

115

3598

91

1636

568

118

3713

91

2037

700

122

3825

41

2438

800

125

3933

81

2739

869

129

4039

31

3040

910

k=1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

082

084

086

088

090

092

094

096

098

100

105

110

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

035

171

035

173

036

175

036

177

036

179

037

181

037

183

038

185

038

187

038

189

039

193

040

198

300

039

277

040

281

040

284

041

287

041

291

042

294

042

297

042

300

043

303

043

307

044

314

046

322

400

047

595

048

603

049

610

049

617

050

624

050

631

051

638

051

645

052

652

052

658

054

675

055

691

500

055

107

60

5510

89

056

110

20

5711

15

057

112

80

5811

40

059

115

30

5911

65

060

117

70

6111

89

062

121

90

6412

48

600

062

174

30

6217

64

063

178

50

6418

06

065

182

70

6518

47

066

186

70

6718

87

067

190

70

6819

27

070

197

50

7120

22

700

068

261

90

6926

51

070

268

30

7127

14

071

274

50

7227

76

073

280

60

7428

36

074

286

50

7528

95

077

296

70

7930

37

800

074

372

50

7537

71

076

381

60

7738

60

078

390

40

7939

48

079

399

10

8040

33

081

407

60

8241

17

084

422

00

8643

20

900

080

508

20

8151

44

082

520

50

8352

66

084

532

60

8553

85

086

544

40

8655

02

087

555

90

8856

16

090

575

60

9358

92

1000

085

670

70

8667

89

087

687

00

8869

50

089

702

90

9071

07

091

718

50

9272

61

093

733

70

9474

12

097

759

60

9977

76

1250

098

1206

41

0012

211

101

1235

61

0212

500

103

1264

21

0412

783

105

1292

21

0613

060

108

1319

61

0913

331

111

1366

21

1413

985

1500

110

1947

61

1219

713

113

1994

81

1420

180

115

2040

91

1720

636

118

2086

11

1921

083

121

2130

21

2221

520

125

2205

41

2822

576

1800

123

3142

41

2531

807

126

3218

51

2832

559

129

3292

91

3133

295

132

3365

71

3434

015

135

3436

91

3634

720

140

3558

11

4336

423

2000

132

4142

11

3341

925

135

4242

41

3742

917

138

4340

41

4043

886

141

4436

31

4344

835

144

4530

21

4645

764

149

4689

91

5348

008

32

APPENDICESASSIGNMENT CT4490

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 31: Design assignment poptahof

31

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

115

120

125

130

135

140

145

150

155

160

165

170

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

041

203

042

207

043

211

044

216

045

220

046

224

046

228

047

232

048

236

049

239

050

243

050

247

300

047

329

048

336

049

343

050

350

050

357

051

364

052

370

053

377

054

383

055

389

056

395

057

401

400

056

707

057

722

059

737

060

752

061

766

062

781

063

795

064

808

065

822

066

835

067

848

069

861

500

065

127

60

6613

04

068

133

10

6913

58

070

138

40

7214

10

073

143

50

7414

60

076

148

40

7715

08

078

153

20

7915

55

600

073

206

70

7521

12

076

215

60

7821

99

079

224

10

8122

83

082

232

40

8423

64

085

240

30

8624

42

088

248

00

8925

18

700

081

310

60

8231

74

084

323

90

8633

04

088

336

80

8934

30

091

349

10

9235

51

094

361

00

9536

68

097

372

60

9837

82

800

088

441

80

9045

14

092

460

70

9346

99

095

478

90

9748

78

099

496

51

0050

50

102

513

41

0452

17

105

529

81

0753

79

900

095

602

60

9761

56

099

628

41

0164

09

103

653

21

0566

53

106

677

11

0868

88

110

700

31

1271

15

114

722

61

1573

36

1000

101

795

21

0381

25

106

829

31

0884

58

110

862

11

1287

80

114

893

61

1690

90

118

924

11

2093

90

121

953

61

2396

80

1250

117

1430

11

1914

611

122

1491

41

2415

211

126

1550

21

2915

788

131

1606

91

3316

345

135

1661

71

3816

884

140

1714

71

4217

406

1500

131

2308

61

3323

585

136

2407

41

3924

553

142

2502

31

4425

484

147

2593

81

4926

383

152

2682

11

5427

252

157

2767

71

5928

095

1800

146

3724

51

5038

050

153

3883

81

5639

611

159

4036

91

6241

113

164

4184

41

6742

562

170

4326

81

7343

963

175

4464

81

7845

322

2000

156

4909

11

6050

152

163

5119

11

6652

209

169

5320

71

7254

187

176

5515

01

7956

097

182

5702

81

8457

944

187

5884

51

9059

734

k= 1

5 m

m

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

175

180

185

190

195

200

205

210

215

220

225

230

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

051

251

052

254

053

258

053

261

054

265

055

268

055

271

056

275

057

278

057

281

058

285

059

288

300

058

407

058

413

059

419

060

424

061

430

062

435

062

441

063

446

064

452

065

457

065

462

066

467

400

070

874

071

886

072

899

072

911

073

923

074

935

075

946

076

958

077

969

078

981

079

992

080

100

3

500

080

157

80

8116

00

083

162

20

8416

44

085

166

60

8616

87

087

170

90

8817

29

089

175

00

9017

70

091

179

10

9218

11

600

090

255

50

9225

91

093

262

70

9426

63

095

269

80

9727

32

098

276

70

9928

00

100

283

41

0128

67

103

289

91

0429

32

700

100

383

81

0138

93

103

394

71

0440

00

105

405

31

0741

04

108

415

61

0942

06

111

425

71

1243

06

113

435

51

1444

03

800

109

545

81

1055

35

112

561

21

1356

88

115

576

31

1658

37

118

591

01

1959

82

120

605

31

2261

23

123

619

31

2562

62

900

117

744

31

1975

49

120

765

41

2277

58

124

786

01

2579

60

127

806

01

2881

58

130

825

51

3183

51

133

844

61

3485

39

1000

125

982

21

2799

62

129

1010

11

3010

237

132

1037

11

3410

504

135

1063

51

3710

765

139

1089

31

4011

020

142

1114

51

4311

268

1250

144

1766

21

4617

913

148

1816

21

5018

406

152

1864

81

5418

887

156

1912

21

5819

355

160

1958

51

6119

813

163

2003

81

6520

260

1500

161

2850

71

6428

913

166

2931

31

6829

708

170

3009

81

7230

483

175

3086

31

7731

239

179

3161

01

8131

977

183

3234

01

8532

698

1800

181

4598

61

8346

641

186

4728

61

8847

924

191

4855

21

9349

173

196

4978

61

9850

392

200

5099

02

0351

582

205

5216

62

0752

745

2000

193

6060

91

9661

472

198

6232

22

0163

162

204

6399

02

0664

808

209

6561

62

1166

414

214

6720

32

1667

982

219

6875

32

2169

515

33

ASSIGNMENT CT4490 APPENDICES

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 32: Design assignment poptahof

32

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

235

240

245

250

255

260

265

270

275

280

285

290

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

059

291

060

294

061

297

061

300

062

303

062

306

063

309

064

312

064

315

065

318

065

321

066

323

300

067

472

068

477

068

482

069

487

070

492

070

497

071

502

072

507

072

511

073

516

074

521

074

525

400

081

101

40

8210

25

082

103

50

8310

46

084

105

60

8510

67

086

107

70

8710

87

087

109

70

8811

07

089

111

70

9011

27

500

093

183

00

9418

50

095

186

90

9618

88

097

190

70

9819

26

099

194

41

0019

63

101

198

11

0219

99

103

201

71

0420

35

600

105

296

31

0629

95

107

302

61

0830

57

109

308

81

1031

18

111

314

81

1231

78

113

320

71

1432

36

115

326

51

1732

94

700

116

445

11

1744

99

118

454

61

1945

92

121

463

81

2246

83

123

472

91

2447

73

125

481

71

2648

61

127

490

51

2949

48

800

126

633

01

2763

97

129

646

41

3065

30

131

659

51

3266

60

134

672

41

3567

87

136

685

01

3869

12

139

697

41

4070

35

900

136

863

21

3787

24

139

881

51

4089

05

141

899

41

4390

82

144

916

91

4592

56

147

934

21

4894

27

149

951

11

5195

94

1000

145

1139

11

4711

512

148

1163

21

5011

750

151

1186

81

5311

984

154

1209

91

5612

213

157

1232

71

5812

439

160

1255

01

6112

660

1250

167

2048

01

6920

697

170

2091

31

7221

126

174

2133

71

7621

546

177

2175

31

7921

958

181

2216

11

8222

362

184

2256

21

8522

760

1500

187

3305

31

8933

404

191

3375

21

9334

096

195

3443

61

9734

773

199

3510

72

0135

438

202

3576

62

0436

090

206

3641

22

0836

731

1800

210

5331

72

1253

883

214

5444

32

1654

998

218

5554

72

2056

090

223

5662

92

2557

162

227

5769

12

2958

214

231

5873

32

3359

248

2000

224

7026

92

2671

015

228

7175

32

3172

483

233

7320

72

3573

923

238

7463

32

4075

336

242

7603

22

4476

722

246

7740

62

4978

084

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

295

300

310

320

330

340

350

360

370

380

390

400

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

066

326

067

329

068

335

069

340

070

345

071

351

072

356

073

361

075

366

076

371

077

376

078

380

300

075

530

076

534

077

543

078

552

079

561

081

569

082

578

083

586

084

594

085

602

086

610

087

618

400

090

113

70

9111

46

093

116

60

9411

84

096

120

30

9712

21

099

123

91

0012

57

101

127

41

0312

91

104

130

81

0513

25

500

105

205

21

0520

70

107

210

41

0921

38

111

217

11

1222

04

114

223

71

1622

68

117

230

01

1923

31

120

236

21

2223

92

600

118

332

31

1933

51

120

340

61

2234

61

124

351

51

2635

68

128

362

11

3036

72

132

372

31

3337

74

135

382

31

3738

72

700

130

499

01

3150

33

133

511

61

3551

99

137

528

01

3953

60

141

543

81

4355

16

145

559

21

4756

68

149

574

21

5158

15

800

141

709

61

4271

56

145

727

51

4773

92

149

750

71

5276

21

154

773

21

5678

43

158

795

11

6080

58

162

816

41

6482

69

900

152

967

71

5397

59

156

992

11

5810

080

161

1023

71

6310

392

166

1054

41

6810

694

170

1084

31

7310

989

175

1113

31

7711

275

1000

163

1276

91

6412

877

167

1309

11

6913

301

172

1350

81

7513

712

177

1391

31

8014

111

182

1430

71

8514

499

187

1469

01

8914

877

1250

187

2295

61

8923

150

192

2353

41

9523

912

198

2428

42

0124

651

204

2501

22

0725

368

210

2571

92

1226

065

215

2640

72

1826

745

1500

210

3704

82

1137

361

215

3798

12

1838

591

222

3919

12

2539

782

228

4036

52

3240

939

235

4150

52

3842

064

241

4261

62

4443

160

1800

235

5975

82

3760

264

241

6126

32

4562

246

248

6321

42

5264

167

256

6510

62

5966

032

263

6694

62

6767

847

270

6873

62

7469

614

2000

251

7875

62

5379

422

257

8073

92

6182

034

265

8330

92

6984

566

273

8580

32

7787

023

281

8822

72

8589

414

288

9058

62

9291

743

34

ASSIGNMENT CT4490 APPENDICES

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 33: Design assignment poptahof

33

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

410

420

430

440

450

460

470

480

490

500

520

540

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

078

385

079

390

080

395

081

399

082

404

083

408

084

413

085

417

086

421

087

426

088

434

090

443

300

088

626

090

633

091

641

092

648

093

656

094

663

095

670

096

677

097

684

098

691

100

705

102

719

400

107

134

21

0813

58

109

137

41

1113

90

112

140

61

1314

22

114

143

71

1614

52

117

146

81

1814

83

120

151

21

2315

41

500

123

242

21

2524

51

126

248

01

2825

09

129

253

81

3125

66

132

259

41

3426

21

135

264

91

3626

76

139

272

91

4227

81

600

139

392

01

4039

68

142

401

51

4440

62

145

410

81

4741

54

149

419

91

5042

43

152

428

81

5343

31

156

441

81

5945

02

700

153

588

81

5559

60

157

603

11

5961

01

160

617

01

6262

38

164

630

61

6663

73

167

643

91

6965

05

172

663

41

7667

61

800

167

837

21

6984

74

171

857

41

7386

74

175

877

21

7688

70

178

896

61

8090

61

182

915

51

8492

49

188

943

21

9196

13

900

179

1141

61

8211

555

184

1169

21

8611

828

188

1196

21

9012

095

192

1222

61

9412

356

196

1248

41

9812

611

202

1286

22

0613

108

1000

192

1506

31

9415

246

196

1542

71

9915

606

201

1578

32

0315

958

205

1613

12

0816

303

210

1647

22

1216

640

216

1697

02

2017

295

1250

221

2707

82

2327

407

226

2773

32

2928

054

231

2837

22

3428

687

236

2899

82

3929

305

241

2961

02

4429

911

249

3050

62

5331

088

1500

247

4369

82

5044

229

253

4475

42

5645

273

259

4578

62

6246

293

265

4679

52

6847

291

270

4778

22

7348

269

279

4922

72

8450

167

1800

277

7048

12

8071

337

284

7218

42

8773

020

290

7384

72

9374

665

297

7547

43

0076

275

303

7706

73

0677

851

312

7939

73

1880

912

2000

296

9288

52

9994

014

303

9512

93

0696

231

310

9732

13

1398

399

317

9946

53

2010

052

03

2310

156

43

2710

259

73

3310

463

33

3910

663

0

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

560

580

600

620

640

660

680

700

720

740

760

780

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

092

451

093

459

095

467

097

474

098

482

100

490

101

497

103

504

104

512

106

519

107

526

109

533

300

104

732

105

745

107

758

109

770

111

783

112

795

114

807

116

819

117

830

119

842

121

853

122

865

400

125

156

91

2715

97

129

162

51

3116

52

134

167

81

3617

05

138

173

01

4017

56

142

178

11

4418

05

146

183

01

4818

54

500

144

283

31

4728

83

149

293

21

5229

81

154

302

91

5730

76

159

312

31

6131

68

164

321

41

6632

58

168

330

21

7033

45

600

162

458

51

6546

67

168

474

71

7148

25

173

490

31

7649

79

179

505

41

8151

28

184

520

21

8752

74

189

534

51

9254

15

700

179

688

61

8270

08

185

712

81

8872

47

191

736

31

9474

78

197

759

02

0077

02

203

781

12

0679

19

209

802

62

1181

31

800

195

979

01

9899

64

202

1013

52

0510

303

208

1046

82

1110

631

215

1079

12

1810

949

221

1110

52

2411

259

227

1141

12

3011

560

900

210

1334

92

1413

586

217

1381

92

2114

048

224

1427

42

2814

496

231

1471

52

3514

930

238

1514

22

4115

352

245

1555

92

4815

763

1000

224

1761

32

2817

926

232

1823

32

3618

535

240

1883

32

4419

126

247

1941

42

5119

698

254

1997

92

5820

255

261

2052

82

6520

797

1250

258

3166

02

6332

222

267

3277

42

7133

318

276

3385

22

8034

378

284

3489

72

8935

407

293

3591

12

9736

407

301

3689

73

0537

381

1500

289

5109

02

9451

996

299

5288

73

0453

764

309

5462

63

1455

475

319

5631

13

2357

135

328

5794

73

3258

748

337

5953

83

4160

318

1800

324

8240

03

3083

862

335

8529

93

4186

712

346

8810

23

5289

471

357

9081

93

6292

147

367

9345

73

7294

748

377

9602

33

8297

280

2000

346

1085

91

352

1105

17

358

1124

10

364

1142

72

370

1161

04

375

1179

07

381

1196

84

387

1214

34

392

1231

60

397

1248

62

403

1265

41

408

1281

98

35

APPENDICESASSIGNMENT CT4490

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 34: Design assignment poptahof

34

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

800

820

840

860

880

900

920

940

960

980

100

010

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

110

539

111

546

113

553

114

559

115

566

117

572

118

579

119

585

120

591

122

597

123

603

126

618

300

124

876

125

887

127

897

128

908

130

919

131

929

133

939

134

950

136

960

137

970

139

980

142

100

4

400

149

187

81

5119

01

153

192

41

5519

47

157

197

01

5919

92

160

201

41

6220

36

164

205

81

6520

79

167

210

01

7121

52

500

173

338

81

7534

30

177

347

21

7935

13

181

355

41

8335

95

185

363

41

8736

74

189

371

31

9137

51

193

379

01

9838

84

600

194

548

41

9655

52

199

562

02

0156

87

203

575

32

0658

18

208

588

22

1059

46

213

600

92

1560

72

217

613

42

2262

85

700

214

823

52

1783

38

219

843

92

2285

39

224

863

82

2787

36

230

883

32

3289

29

234

902

42

3791

18

239

921

02

4594

38

800

233

1170

82

3611

854

239

1199

82

4212

140

244

1228

12

4712

420

250

1255

82

5312

694

255

1282

92

5812

962

260

1309

42

6713

418

900

251

1596

42

5416

163

257

1635

92

6016

553

263

1674

52

6616

935

269

1712

32

7217

308

275

1749

22

7817

673

281

1785

32

8818

295

1000

268

2106

22

7221

325

275

2158

42

7821

840

281

2209

32

8422

343

288

2259

12

9122

836

294

2307

82

9723

317

300

2355

53

0724

138

1250

308

3785

83

1238

329

316

3879

53

2039

255

324

3971

03

2740

159

331

4060

43

3441

044

338

4147

93

4241

910

345

4233

63

5443

384

1500

346

6108

83

5061

849

354

6260

03

5863

342

363

6407

63

6764

801

371

6551

93

7566

228

379

6693

03

8367

625

387

6831

33

9670

003

1800

387

9852

23

9299

748

397

1009

59

401

1021

56

406

1033

39

1045

09

415

411

1056

66

420

1068

10

424

1079

42

429

1090

63

433

1101

72

444

1128

97

2000

413

1298

34

418

1314

50

423

1330

46

429

1346

23

433

1361

82

438

1377

23

443

1392

47

448

1407

55

453

1422

47

457

1437

23

462

1451

85

474

1487

75

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

110

011

50

120

012

50

130

013

50

140

014

50

150

015

50

160

016

50

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

129

633

132

647

135

661

138

675

140

689

143

702

146

715

148

727

151

740

153

752

156

764

158

776

300

145

102

81

4910

51

152

107

41

5510

96

158

111

81

6111

39

164

116

01

6711

81

170

120

11

7312

21

175

124

01

7812

60

400

175

220

31

7922

53

183

230

11

8723

49

191

239

61

9424

42

198

248

72

0125

31

205

257

42

0826

17

212

265

92

1527

00

500

202

397

52

0740

65

211

415

32

1642

39

220

432

32

2444

05

228

448

72

3345

66

237

464

42

4047

21

244

479

72

4848

72

600

228

643

42

3365

79

238

672

12

4368

60

247

699

62

5271

30

257

726

12

6173

90

266

751

62

7076

41

275

776

42

7978

84

700

251

966

12

5798

79

262

1009

22

6810

301

273

1050

52

7810

706

283

1090

32

8811

096

293

1128

62

9811

473

303

1165

73

0811

839

800

273

1373

52

7914

044

285

1434

72

9114

644

297

1493

43

0315

219

308

1549

93

1415

774

319

1604

43

2416

310

330

1657

23

3516

829

900

294

1872

73

0119

149

307

1956

23

1419

966

320

2036

23

2620

751

332

2113

23

3821

507

344

2187

63

5022

238

355

2259

53

6122

946

1000

315

2470

73

2225

264

329

2580

83

3526

341

342

2686

43

4927

377

355

2788

03

6128

375

367

2886

13

7429

339

380

2980

93

8530

272

1250

362

4440

73

7045

407

378

4638

53

8647

344

393

4828

34

0149

204

408

5010

94

1650

997

423

5187

14

3052

729

437

5357

44

4354

406

1500

405

7165

34

1573

267

424

7484

54

3276

391

441

7790

64

4979

393

458

8085

24

6682

285

474

8369

44

8185

079

489

8644

34

9787

785

1800

454

1155

58

464

1181

59

474

1207

04

484

1231

97

494

1256

40

503

1280

37

512

1303

89

521

1327

01

530

1349

72

539

1372

06

548

1394

04

556

1415

69

2000

485

1522

82

496

1557

09

506

1590

63

517

1623

47

527

1655

67

537

1687

25

547

1718

25

557

1748

70

566

1778

63

576

1808

07

585

1837

04

594

1865

55

36

APPENDICESASSIGNMENT CT4490

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

12

336

951

33

4397

09

700

312

1201

73

1712

193

321

1236

63

2612

537

330

1270

63

3412

872

339

1303

73

4713

359

355

1367

43

6313

982

371

1428

33

7914

578

800

340

1708

33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

9519

876

404

2030

44

1220

724

900

366

2329

13

7123

632

377

2396

83

8224

299

387

2462

63

9224

948

397

2526

74

0725

892

417

2650

24

2627

099

435

2768

34

4428

254

1000

391

3072

83

9731

178

403

3162

14

0832

058

414

3248

94

1932

914

424

3333

44

3534

159

445

3496

44

5535

751

465

3652

14

7537

275

1250

450

5522

64

5756

033

463

5682

94

6957

615

476

5838

94

8259

154

488

5990

85

0061

390

512

6283

65

2464

251

535

6563

45

4666

990

1500

504

8910

75

1290

410

519

9169

45

2692

960

533

9421

05

4095

443

547

9666

05

6199

051

574

1013

84

587

1036

66

599

1058

98

612

1080

84

1800

565

1437

00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

7534

57

280

352

02

8535

83

290

364

42

9537

04

300

376

43

0438

22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

9415

151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

4817

254

455

1749

94

6117

741

800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

081

467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

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575

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615

1738

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700

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04

7318

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479

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536

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587

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634

2441

26

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583

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639

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738

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242

900

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3484

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15

9637

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3997

66

5941

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688

4379

67

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744

4730

97

7048

971

795

5057

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2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

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671

5273

87

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314

736

5777

77

6660

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603

850

6672

38

7668

778

1250

673

8261

06

8283

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691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

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21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

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431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 35: Design assignment poptahof

35

Design Assignment Poptahof

App

endi

x H

(con

tinue

d)

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

170

017

50

180

018

50

190

019

50

200

021

00

220

023

00

240

025

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

161

788

163

799

165

811

167

822

170

833

172

844

174

855

178

876

183

897

187

917

191

937

195

956

300

181

127

91

8412

97

186

131

61

8913

34

191

135

21

9413

70

196

138

72

0114

22

206

145

52

1114

88

215

152

02

2015

52

400

218

274

12

2127

81

224

282

12

2828

60

231

289

82

3429

36

237

297

42

4330

47

248

311

92

5431

90

259

325

82

6533

26

500

252

494

52

5650

18

259

508

92

6351

59

266

522

92

7052

97

273

536

52

8054

98

287

562

82

9357

54

299

587

83

0660

00

600

283

800

32

8781

20

291

823

62

9583

50

299

846

23

0385

73

307

868

23

1588

97

322

910

73

2993

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336

951

33

4397

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700

312

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73

1712

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321

1236

63

2612

537

330

1270

63

3412

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339

1303

73

4713

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355

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43

6313

982

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33

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578

800

340

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33

4517

333

350

1757

93

5517

822

359

1806

23

6418

298

369

1853

23

7818

991

387

1943

83

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876

404

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44

1220

724

900

366

2329

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632

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387

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63

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417

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1000

391

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463

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6957

615

476

5838

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488

5990

85

0061

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512

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535

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1500

504

8910

75

1290

410

519

9169

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960

533

9421

05

4095

443

547

9666

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6199

051

574

1013

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587

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599

1058

98

612

1080

84

1800

565

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00

573

1458

01

581

1478

71

589

1499

14

597

1519

28

605

1539

17

613

1558

80

628

1597

34

643

1634

97

657

1671

75

671

1707

75

685

1743

00

2000

603

1893

64

612

1921

32

620

1948

61

629

1975

51

637

2002

06

646

2028

26

654

2054

13

670

2104

91

686

2154

50

701

2202

97

716

2250

40

731

2296

85

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

260

027

00

280

029

00

300

031

00

320

033

00

340

035

00

360

037

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

199

975

202

994

206

101

22

1010

30

213

104

82

1710

65

220

108

22

2410

99

227

111

62

3111

32

234

114

82

3711

64

300

224

158

32

2816

13

232

164

22

3616

72

241

170

02

4517

28

248

175

62

5217

83

256

181

02

6018

37

264

186

32

6718

89

400

270

339

22

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57

280

352

02

8535

83

290

364

42

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04

300

376

43

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22

309

388

03

1339

37

318

399

33

2240

48

500

312

611

93

1862

36

323

635

13

2964

63

335

657

43

4066

83

346

679

03

5168

95

356

699

93

6271

02

367

720

33

7273

02

600

350

990

23

5710

091

363

1027

73

7010

459

376

1063

83

8210

814

389

1098

73

9511

158

401

1132

64

0611

492

412

1165

54

1811

816

700

386

1486

83

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151

401

1543

04

0815

704

415

1597

24

2216

237

429

1649

74

3516

753

442

1700

64

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254

455

1749

94

6117

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800

420

2113

54

2821

538

436

2193

44

4422

323

452

2270

54

5923

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467

2345

14

7423

815

481

2417

34

8824

527

495

2487

55

0225

219

900

453

2881

54

6229

365

470

2990

44

7830

434

487

3095

54

9531

468

503

3197

25

1032

468

518

3295

75

2633

439

533

3391

45

4034

383

1000

484

3801

44

9338

740

502

3945

15

1140

151

520

4083

85

2941

514

537

4217

95

4542

834

554

4347

95

6244

115

570

4474

15

7845

359

1250

557

6831

85

6769

621

578

7090

05

8872

157

598

7339

26

0874

606

618

7580

16

2776

978

637

7813

76

4679

279

655

8040

56

6481

515

1500

624

1102

27

636

1123

29

647

1143

93

659

1164

20

670

1184

12

681

1203

72

692

1223

00

703

1241

98

713

1260

67

724

1279

10

734

1297

26

744

1315

17

1800

699

1777

55

712

1811

45

725

1844

72

738

1877

41

750

1909

53

763

1941

13

775

1972

21

787

2002

82

799

2032

97

811

2062

67

822

2091

96

833

2120

84

2000

746

2342

38

760

2387

04

774

2430

88

787

2473

95

801

2516

28

814

2557

91

827

2598

87

840

2639

20

853

2678

93

865

2718

07

877

2756

66

890

2794

71

37

APPENDICESASSIGNMENT CT4490

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

56

335

420

93

5544

65

375

470

73

9349

37

410

515

74

2753

68

443

557

14

5957

67

474

595

64

8961

40

500

377

740

03

8274

97

387

759

34

1080

54

432

849

14

5489

06

474

930

34

9396

83

512

1004

95

3010

402

547

1074

45

6411

075

600

424

1197

54

2912

132

435

1228

74

6113

033

486

1373

95

1014

411

532

1505

25

5415

668

575

1626

05

9516

832

615

1738

46

3417

920

700

467

1798

04

7318

215

479

1844

85

0819

568

536

2062

85

6221

636

587

2260

06

1123

523

634

2441

26

5725

270

678

2610

06

9926

904

800

508

2555

85

1525

892

522

2622

35

5327

816

583

2932

26

1230

755

639

3212

46

6533

437

690

3470

17

1535

920

738

3709

97

6138

242

900

548

3484

55

5535

301

562

3575

15

9637

922

628

3997

66

5941

929

688

4379

67

1745

586

744

4730

97

7048

971

795

5057

88

2052

136

1000

585

4596

95

9346

570

601

4716

46

3750

029

671

5273

87

0455

314

736

5777

77

6660

138

795

6241

08

2364

603

850

6672

38

7668

778

1250

673

8261

06

8283

691

691

8475

97

3389

905

772

9477

38

1099

403

846

1038

27

881

1080

70

914

1121

53

946

1160

92

977

1199

02

100

712

359

5

1500

754

1332

84

764

1350

28

774

1367

50

821

1450

52

865

1529

05

908

1603

75

948

1675

11

987

1743

56

102

418

094

310

60

1872

98

109

519

344

511

28

1994

02

1800

845

2149

33

856

2177

45

867

2205

21

919

2339

09

969

2465

71

101

625

861

510

62

2701

22

110

528

116

011

47

2917

80

118

730

202

712

26

3119

38

126

432

154

4

2000

902

2832

26

913

2869

31

925

2905

89

981

3082

30

103

432

491

410

85

3407

84

113

335

594

711

79

3704

90

122

438

448

412

67

3979

87

130

841

104

613

49

4237

04

k= 1

5 m

m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

8018

67

390

191

6

300

417

294

94

2930

29

440

310

8

400

503

631

85

1764

91

530

666

0

500

580

1139

65

9611

709

612

1201

4

600

652

1844

06

7018

946

687

1943

8

700

719

2768

57

3928

444

758

2918

4

800

783

3935

28

0440

431

825

4148

2

900

843

5364

98

6655

120

889

5655

3

1000

901

7077

49

2672

715

950

7460

5

1250

103

612

718

110

65

1306

68

109

213

406

5

1500

116

120

518

711

93

2108

13

122

421

629

2

1800

130

033

087

113

36

3399

43

137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490

Page 36: Design assignment poptahof

36

CIE4491 Fundamentals of Urban Drainage

App

endi

x H

(con

tinue

d)k=

15

mm

T=

10

C

v (m

s)

Q (l

s)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

mm

380

039

00

400

045

00

500

055

00

600

065

00

700

075

00

800

085

00

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

vQ

250

240

118

02

4311

95

247

121

02

6212

84

276

135

42

8914

20

302

148

33

1515

44

326

160

23

3816

59

349

171

33

6017

66

300

271

191

42

7419

39

278

196

42

9520

83

311

219

63

2623

04

340

240

73

5425

05

368

260

03

8126

91

393

278

04

0528

65

400

326

410

23

3141

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k= 1

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m

T= 1

0 C

v

(ms

) Q

(ls

)

Dia

met

er

Gra

dien

t(10

^-3)

G

radi

ent(

10^-

3)

Gra

dien

t(10

^-3)

mm

900

095

00

100

00

vQ

vQ

vQ

250

370

181

73

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67

390

191

6

300

417

294

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2930

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440

310

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530

666

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612

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600

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1943

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700

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1000

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950

7460

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110

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1500

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711

93

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1800

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113

36

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137

134

877

9

2000

138

843

599

414

26

4479

47

146

345

959

0

38

APPENDICESASSIGNMENT CT4490


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