C141+Calculation+sheet-+Train+2+29th+Nov+06+0700

1 Project Name / Location Turbo expander / Ambernath CGS2 Revision R03 Date 01.12.20154 GAS Composition

5 Component mol%6 Nitrogen 0.40

7 CO2 1.80

8 H2S 0.00

9 Methane 89.58

10 Ethane 7.75

11 Propane 0.46

12 i-Butane 0.01

13 n-Butane 0.01

14 i-Pentane 0.00

15 n-Pentane 0.00

16 Total 100.00

17 Design parameters

18 Universal Gas Constant, R

19 Polytropic head

20 Polytropic efficiency

21

22

23 Molecular Weight (MW)

24

25

26 DPo across inlet flowmeter

27

28

29

30

31 Calculations

32 Mixture density, suction kg/m3

33 Mixture viscosity cP

34 Wobbe No. (15C; 101.325 kPa) MJ/SCM

35 Calorific Value (15C; 101.325 kPaMJ/SCM

36 Volumetric flow rate37 Mass flow rates38 Power Kw39 Speed RPM40

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49

Suction Pressure, Ps

Suction Temperature, Ts

Cp / C

v, k

s

Compressibility, Zs

Discharge Pressure, Pd

Discharge Temperature, Td

Cp / C

v, k

d

Compressibility, Zd

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Input DataProject Name / Location In Amenas NotesEquipment Name / Tag Number Train 1 Turbo-Expander 01-C141 110% Flow case

Date DATASHEET

Inlet Conditions Other informationbarg 15.5 From datasheet Universal Gas Constant, R 8314.5

53.5 From datasheet Speed rpm 17660 From datasheetMolecular Weight (MW) kg/kmol 17.82 From datasheet Polytropic head KJ/Kg 68.26 From datasheet

1.316 From datasheet Polytropic efficiency % 84 From datasheet

0.969 From datasheet Power kW 6985 From datasheet

DPo across inlet flowmeter FIC1435 mbar 251.3 Back calculated

Calculated Gas Properties (suction) Gas CompositionMolecular Weight (MW) kg/kmol 17.82 Calculated Component mol%

1.272 Calculated Nitrogen 0.40

0.973 Calculated CO2 1.80

Mixture density, suction kg/m3 11.117 Calculated H2S 0.00

Mixture viscosity cP 0.012 Calculated Methane 89.58

Wobbe No. (15C; 101.325 kPa) MJ/SCM 50.17 Calculated Ethane 7.75

Calorific Value (15C; 101.325 kPa) MJ/SCM 39.35 Calculated Propane 0.46

i-Butane 0.01

Outlet Conditions n-Butane 0.01

barg 24.5 From datasheet i-Pentane 0.00

91.7 From datasheet n-Pentane 0.00

1.305 From datasheet Total 100.00

0.969 From datasheet

Rich Feed 82oC

Datasheet 53.5oC suction case



oC

Cp / C

v, k

s

Compressibility, Zs

Specific heat ratio, Cp / C

v, k

s

Compressibility, Zs



oC

Cp / C

v, k

d (from datasheet)

Compressibility, Zd (from datasheet)

Calculation input data Calculation gas properties

barg 15.5 Molecular weight 17.82

bara 16.5 1.316

53.5 1.2719748825

326.5 Polytropic efficiency 84

barg 24.5bara 25.5

91.7

364.7

Compression eff- ((n-1) / n) 0.254

Estimated From datasheet % difference

1.271 1.272 1.316 -3.38

From curves % difference

Polytropic Efficiency % 84.1 94.5 84 0.15

From datasheet % difference

364.8 369.8

91.8 96.8 91.7 0.07

From datasheet % difference

bara 25.5 24.3 25.5 -0.06


Cp / C

v (k

s)- datasheet


oC Cp / C

v (k

s)- Estimated

oKDischarge Pressure, P

d


oCoK

1) Calculate (n-1)/n, when Ps, T

s, P

d & T

d are known inputs.

2) Calculate Cp / C

v (k

s), when P

s, T

s, P

d, T

d and Polytropic

Efficiency are known inputs.Cp / Cv (ks)

3) Calculate Polytropic Efficiency, %, when Ps, T

s, P

d, T

d and k

s

are known inputs.Datasheet Gas

properties

4) Calculate discharge temperature, Td, when P

s, T

s, P

d, k

s and

Polytropic Efficiency are known inputs.Datasheet Gas

properties


oK


oC

5) Calculate discharge pressure, Pd, when P

s, T

s, T

d, k

s and

Polytropic Efficiency are known inputs.Datasheet Gas

propertiesDischarge Pressure, P

d

Calculation input data

bara 16.5

326.5Molecular Weight (MW) 17.82

1.316

1.27197

0.969

0.97333

bara 25.5Polytropic Efficiency % 84.1249

Universal Gas Constant, R 8314.5Polytropic Head N-m / kg 68.26

Polytropic Head N-m / kg 66430 68423Polytropic Head KJ/kg 66.4 68.4 68.26 -2.68Polytropic Head kg-m / kg 6772 6975

Polytropic Head N-m / kg 68254 67950Polytropic Head KJ/kg 68.3 68.0 68.26 -0.01Polytropic Head kg-m / kg 6958 6927


Suction Temperature, TsoK

Cp / Cv (ks)- datasheet

Cp / Cv (ks)- estimated

Compressibility, zs- datasheet

Compressibility, zs-

estimated


1) Calculate polytropic head when Ps, Ts, zs, MW, ks, Pd & Polytropic Efficiency are known inputs.

Using Datasheet Gas properties

From datasheet

% difference

2) Calculate polytropic head when Ps, Pd, Ts, Td, MW & ks are known inputs

Using Datasheet Gas properties

From datasheet

% difference

Calculation input dataDPo across inlet flowmeter mbar 251.3328Molecular Weight 17.82

bara 16.5

0.969

oK 326.5Beta ratio, B 0.7

0.969Gas volumetric flow factor, N 0.126447Pipe outside diameter, D mm 569.6Thermal expansion factor, Fa 1Calibrated flowmeter coefficient, Cf 0.81

Flow rate calculations

kPaa 1650DPo across inlet flowmeter kPa 25.13Density at suction kg/m3 11.12X 0.0150Gas expansion factor, Y 0.9874Velocity approach factor, E 1.1472A 18443Volumetric flow rate AM3/hr 27730Mass flow kg/hr 308281.3Mass flow tes/hr 308.3


Compressibility, zs


Cp / C

v, k

s


Calculation input dataMass flow rate kg/hr 308281

kg/ min 5138.02Polytropic head N-m / kg 68254Polytropic efficiency % 84.1249

Calculation

Power kW 6948 6985 -0.53

From datasheet

% difference

5000 10000 15000 20000 25000 30000 35000 400000

10

20

30

40

50

60

70

80

90

C141 Compressor Map

12054 rpm 13776 rpm 15498 rpm 17220 rpm 18942 rpm 17660Compressor Flow ACMH

Po

lytr

op

ic H

ea

d K

J/kg

Flow 12054 rpm 13776 rpm 15498 rpm 17220 rpm 18942 rpm 1766011167 34.815000 33.920000 30.423333 2512500 45.517000 44.623000 39.326667 32.114167 5919667 57.126667 48.230000 4215667 71.422000 69.626667 65.833333 51.817333 85.724167 83.930667 76.836667 62.5

27730.44 68.2538

PROPERTIES OF NATURAL GAS

TEMPERATURE IS (DEG F) 128.3 deg F 53.5

PRESSURE IS (psia) 239.25 psia 16.5

COMPONENT FLOWRATE COMPONENT GAS CRITICALkmol/hr MOLE % GRAVITY TEMP

DEG Ri yi*100 Gi Tci

N2 0.40 0.40 0.9672 227.3 CO2 1.80 1.80 1.5195 547.6 H2S 0.00 0.00 1.1765 672.4 METH 89.58 89.57 0.5539 343.04 ETH 7.75 7.75 1.0382 549.76 PROP 0.46 0.46 1.5225 665.68 I-BUT 0.01 0.01 2.0068 734.65 N-BUT 0.01 0.01 2.0068 765.32 I-PEN 0.00 0.00 2.4911 828.77 N-PEN 0.00 0.00 2.4911 845.4

100.00 100.00 TOTALMOLE

PERCENT

UNCORRECTED PARAMETERS

MIXTURE MOLECULAR WEIGHT

MIXTURE REDUCED TEMPERATURE Tr (DEG R)

MIXTURE REDUCED PRESSURE Pr (psia)

MIXTURE COMPRESSIBILITY Z

MIXTURE DENSITY rho (lb/ft3)

MIXTURE VISCOSITY u (cP)

NOTE- calculation of gross heating value gives an answer in BTU/SCFdefined at 15C and 101.325 kPa using the method given in'Calorific Values and Relative Densities', Wrobel J and Wright P

deg C from Input Data cell C12

bara from Input Data cell C11

CRITICAL NET DRY GAS SPECIFIC HEATPRESSURE HEATING HEATING COEFFICIENTS

psia VALUE VALUEPci NHVi GHVDi Ai

493 0 0 6.3911071 0 0 5.871306 588 637 7.16667.8 909.1 1012.1 5.343707.8 1617.8 1773.2 3.782616.3 2316.1 2521.2 3.324529.1 3001.1 3268.9 3.857550.7 3010.4 3259.3 5.104490.4 3698.3 4000.3 4.667488.6 3707.5 4009.5 6.259

17.8222399729

1.6169208107 (UNCORRECTED)





SPECIFIC HEAT COMPONENT COMPONENT COMPONENT COMPONENT COEFFICIENTS GRAVITY Tc Pc NET HEATG

FACTOR FACTOR FACTOR FACTORBi yi*Gi yi*Tci yi*Pci yi*NHVi0.09017 0.003868645 0.909163633 1.971921123 00.00556 0.027349906 9.856405744 19.27722891 00.00183 0 0 0 0

0.006032 0.49613608 307.2657894 598.1579237 814.29375320.01647 0.080478045 42.61569057 54.86646134 125.40683970.02662 0.006957547 3.042035919 2.816378345 10.584153630.03593 0.000200672 0.073462062 0.052907884 0.3000979960.03397 0.000180605 0.068876045 0.049561018 0.2709251630.04417 0.00002491 0.008287369 0.004903804 0.0369815210.04197 0 0 0 0

0.615196409 363.8397107 677.1972861 950.8927513

MIXTURE MIXTURE MIXTURE MIXTUREGAS CRITICAL CRITICAL NET

GRAVITY TEMP PRESSURE HEATING VALUE

GAS G Tc Pc NHVdeg R psia BTU/scf

PARAMETERS WHEN CORRECTED FOR NITROGEN AND SOUR GAS CONTENT

WICHERT-AZIZ CORRECTION FACTOR (CWA) =

MIXTURE CRITICAL TEMPERATURE Tc*(DEG R)=

MIXTURE CRITICAL PRESSURE Pc* (psia) =

MIXTURE REDUCED TEMPERATURE Tr* (DEG R)=

MIXTURE REDUCED PRESSURE Pr* (psia) =

MIXTURE COMPRESSIBILITY Z* =

MIXTURE DENSITY rho* (lb/ft3)

MIXTURE VISCOSITY u* (cP)

WOBBE NO. (MJ/SCM AT 15c AND 101.325 KPA)

CAL VAL (MJ/SCM AT 15 C AND 101.325 KPA)

COMPONENT COMPONENTDRY GAS H SPEC HT

FACTOR FACTORyi*GHVDi

0 0.0278630270 0.1645304830 0

906.5523129 7.964355057137.4529659 1.04425348311.52142314 0.0867559050.326876925 0.0024993620.293325267 0.002257879

0.0400014 0.000306510 0

1056.186906 0.521525171 0.410012162 1.271974882

MIXTURE MIXTURE MIXTURE MIXTUREDRY GAS SPECIFIC SPECIFIC SPECIFICHEATING HEAT HEAT HEATVALUE RATIOGHVD Cp Cv Cp/Cv

BTU/scf BTU/lb F BTU/lb F

PARAMETERS WHEN CORRECTED FOR NITROGEN AND SOUR GAS CONTENT

3.0339263788

360.8057843328 (CORRECTED)

671.5503854281 (CORRECTED)

1.6305170969 (CORRECTED)

0.3562651518 (CORRECTED)

0.9733313569 (CORRECTED)

0.6939927736 (CORRECTED) 11.12 kg/m3

0.0124228123 (CORRECTED)

50.17

39.35

UNCORRECTED WORKINGS588.3 --------------------

0.011122925 0.0111167232 (rho)1= 0.05899453070.01225578525.354238038

1.3291523924

--------- ---------f(rho)1 l

--------- ----l----2.7077491464E-009 l

5.1995245165E-005 l-0.0026335225 l0.0953894845 l

5.3528626851E-005 l-0.0953894845 l

--------- ----l-----0.002527996 l

--------- ---------

(rho)1 - f(rho)1-------f'(rho)1

--------- ---------f(rho)2 l

--------- ----l----3.1948911911E-009 l5.6479059020E-005 l

-0.0027828273 l0.0980562113 l

5.8144652799E-005 l-0.0953894845 l

--------- ----l-----1.473534118E-006 l

--------- ---------

(rho)2 - f(rho)2-------f'(rho)2

--------- ---------f(rho)3 l

--------- ----l----3.1951955141E-009 l5.6481748857E-005 l

-0.0027829156 l0.0980577679 l

5.8147421948E-005 l-0.0953894845 l

--------- ----l----2.0036312887E-010 l--------- ---------

(rho)3 - f(rho)3-------f'(rho)3

--------- ---------f(rho)4 l

--------- ----l----3.1951954727E-009 l5.6481748491E-005 l

-0.0027829156 l0.0980577677 l

5.8147421572E-005 l-0.0953894845 l

--------- ----l-----2.733924198E-014 l

--------- ---------

(rho)4 - f(rho)4-------f'(rho)4

--------- ---------f(rho)5 l

--------- ----l----3.1951954727E-009 l5.6481748491E-005 l

-0.0027829156 l0.0980577677 l

5.8147421572E-005 l-0.0953894845 l

--------- ----l----1.3877787808E-017 l--------- ---------

(rho)5 - f(rho)5-------f'(rho)5

CORRECTED WORKINGS *--------------------(rho)1=

--------- - - ---------f'(rho)1 l l f(rho)1

--------- l l ---------2.7538984845E-007 l l 2.7077491464E-009

0.0026440711 l l 5.3489596767E-005-0.0894833111 l l -0.00260592631.6169208107 l l 0.0961915910.0027220366 l l 5.2639637535E-005

l l -0.096191591--------- l l ---------

1.5328038827 l l -0.0024997943--------- - - ---------

= 0.0606437932 (rho)2= (rho)1 -

--------- - - ---------f'(rho)2 l l f(rho)2

--------- l l ---------3.1609742935E-007 l l 3.1842375199E-009

0.0027939739 l l 5.8005321443E-005-0.0919849239 l l -0.00275060231.6169208107 l l 0.09882571060.0028763574 l l 5.7083588100E-005

l l -0.096191591--------- l l ---------

1.5306065342 l l -1.390553700E-006--------- - - ---------

= 0.0606447559 (rho)3= (rho)2 -

--------- - - ---------f'(rho)3 l l f(rho)3

--------- l l ---------3.1612252018E-007 l l 3.1845211933E-009

0.0027940626 l l 5.8007905139E-005-0.0919863841 l l -0.0027506841.6169208107 l l 0.09882717790.0028764487 l l 5.7086130729E-005

l l -0.096191591

--------- l l ---------1.530605254 l l 1.8411022706E-010

--------- - - ---------

= 0.0606447558 (rho)4= (rho)3 -

--------- - - ---------f'(rho)4 l l f(rho)4

--------- l l ---------3.1612251677E-007 l l 3.1845211558E-009

0.0027940626 l l 5.8007904797E-005-0.0919863839 l l -0.00275068391.6169208107 l l 0.09882717770.0028764487 l l 5.7086130393E-005

l l -0.096191591--------- l l ---------

1.5306052542 l l -2.445266212E-014--------- - - ---------

= 0.0606447558 (rho)5= (rho)4 -

--------- - - ---------f'(rho)5 l l f(rho)5

--------- l l ---------3.1612251677E-007 l l 3.1845211558E-009

0.0027940626 l l 5.8007904797E-005-0.0919863839 l l -0.00275068391.6169208107 l l 0.09882717770.0028764487 l l 5.7086130393E-005

l l -0.096191591--------- l l ---------

1.5306052542 l l 0--------- - - ---------

= 0.0606447558 (rho)6= (rho)5 -

CORRECTED WORKINGS *

0.0589945307

--------- --------- -l f'(rho)1 l

----l---- --------- ll 2.7538984845E-007 l

l 0.0027200622 ll -0.0885443847 ll 1.6305170969 ll 0.0026768298 ll l

----l---- --------- ll 1.5473698795 l

--------- --------- -

f(rho)1 = 0.0606100425-------f'(rho)1

--------- --------- -l f'(rho)2 l

----l---- --------- ll 3.1521880394E-007 ll 0.0028710748 ll -0.0909690925 ll 1.6305170969 ll 0.0028254401 ll l

----l---- --------- ll 1.5452448344 l

--------- --------- -

f(rho)2 = 0.0606109424-------f'(rho)2

--------- --------- -l f'(rho)3 l


----l---- --------- ll 1.545243653 l

--------- --------- -

f(rho)3 = 0.0606109423-------f'(rho)3

--------- --------- -l f'(rho)4 l


----l---- --------- ll 1.5452436531 l

--------- --------- -

f(rho)4 = 0.0606109423-------f'(rho)4

--------- --------- -l f'(rho)5 l


----l---- --------- ll 1.5452436531 l

--------- --------- -

f(rho)5 = 0.0606109423-------f'(rho)5

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C141+Calculation+sheet-+Train+2+29th+Nov+06+0700

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