2013lect4 Pumping System of Fluid

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PUMPING SYSTEM

RELIEF VALVES

PUMPING SYSTEM

                                                                                                                                                                                                                   

STATIC SUCTION HEAD/SUCTION LIFT

PUMPING SYTEM

PUMPING SYSTEM

PUMP ENERGY

PUMP ENERGY = FRICTION ENERGY + ELEVATION ENERGY

Terminology used in pumps

Suction head. Refers to the vertical distance from the surface of water (including drawdown, if any) to centreline of the pump impeller.Discharge head. Is the vertical distance from the centreline of the impeller to point of discharge.Total Dynamic Head (TDH). Is the sum of the suction head, discharge head, hydraulic head losses and the velocity head.Drawdown. Is the lowering of water surface below the static level during pumping.

Terminology used in pumps

Static level. Is the water level before pumping begins.Hydraulic loss. Is loss due to pipe wall friction, elbow design, joints, gate valves, sudden reduction or enlargement of pipe size. This is expressed in its equivalent height or head of water loss.Discharge or capacity. Refers to the rate of flow or the volume of water pumped per unit time such as gallons per minute; cubic feet per second; cubic meters per minute; liters per second; etc.Performance curves. Is the variation of head with capacity at a constant impeller speed. It also includes efficiency and brake horsepower curves.

SUCTION LIFT

Pompa

1

2

h

gF

gV

gPPzzh

)

2)( 2

21212

0V0F0PjikaMax

2

2

Untuk fluida airh max = 34 ft=10m

gP

h atmosfir

max

P1= atmosfir

mftft

inlbf. s lbm .ft .

ft/s. lbm/ft, lbf/in,

gP

air

1034144232232362

7142

2

223

2

SUCTION LIFT ?

Pump

23

1

mengisi pompa dengan fluida untuk keperluan start awal

STARTING CENTRIFUGAL

Kenapa mesti dilakukan ?

PUMP-PRIMING ?

PERHITUNGAN TEKANAN PADA SUCTION

Pump

23

1

Diameter impeler 10 inRpm 1800Pompa penuh berisi air

2222

23

23 22222

rpm D)r(VVPP

22

22

2

223

23 411442323600

180012

102

362inlbf

inft

ft.lbm,s.lbf

smin

minftlbm/ft ,PP

23

3

2223 05,0lbm/ft 3,62lbm/ft 075,04141

inlbf

inlbf

inlbfPP

air

udara

m03010144232232362

0502

2

223

2

,ft,ft

inlbf. s lbm .ft .

ft/s. lbm/ft, lbf/ft,

gP

air

Pompa berisi air

Pompa berisi udara

Suction Lift

Berapa P2 ?

P 3= atmosferik

22 41inlbfP

22 050inlbf,P

Net Positive Suction Head (NPSH)

VaporP Vaporsuctionavailable

PP NPSH

g g

suctionP

h

suction Vaporrequired

P -PNPSH =

g

In order for the fluid not to vaporize Psuction must higher then Pvapor

NPSH is an amount pressure over the vapor pressure .

NPSH Net Positif Suction Head

Pump

23

1

02

222

1212 1

F

gVV

zzg

PP

Fg

Vhg

Pg

P

2

2212

NPSHg

Pg

P v

2

Fg

Vhg

PNPSHg

Pv 2

221

Fg

Vhg

Pg

PNPSH suctionv

2

221

-h = z2-z1

diabaikan dan 2

Jika 2

21 Fg

Vg

Pg

P v

hNPSH

gPPNPSH v

2

Q ft3/s

Bernouli point 1 to 2

gPv

Net Positive Suction Head available, NPSHa

NPSHa is a function of system design It is the excess pressure of the liquid (in ft) over its vapor pressure as it arrives at the pump suction, to be sure that the pump selected does not cavitate. It is calculated based on system or process conditions.

Static suction head, vertical distance between the eye of impeller and suction liquid level

Pressure head or Barometric

pressure of suction vessel

Vapor pressure head Friction head, friction and

entrance pressure losses on suction side

Fg

Vhg

Pg

PNPSH suctionv

2

221

Usually neglected

NPSHr function of the pump

operation.

Atmospheric Pressure - Vapor Pressure + Liquid Height - Friction in the Suction Line

CALCULATING TOTAL DYNAMIC HEAD (TDH)

100 GPM of HCL at 150 F

100 GPM of HCL at 150 F

Flooded Suction Application

NPSHA = Atmospheric Pressure (-) Elevation Correction (-) Vapor Pressure (+) Suction Head

Atmospheric Pressure = 33.96 ft. Elevation Correction for 2000 ft. = 33.96 ft. (-) 31.58 ft. = 2.38 ft

Vapor Pressure of HCl at 150 F (Assume VP of HCl = VP of Water) = 8.56 ft.

NPSHA = 33.96 ft.(-) 2.38 ft. (-) 8.56 ft. (+) 8.7 ft. = 31.72 ft

Suction Head = 8.7 ft.

CALCULATING NPSHA

CALCULATING TOTAL DYNAMIC HEAD (TDH)100 GPM of HCL at 150 F

Total Dynamic Head (TDH) = Elevation(ft) + Friction(ft)

Total Dynamic Head = TDH - TSH= 132.4' - 8.7' = 123.7'

Suction Static Head-------------------------- 10'

Friction Suction SideTotal Length of 3" Pipe----------------------17'

(1) 90 deg 3" Elbow = 7.7' of Pipe---------7.7'

(CHART)

(1) 3" Gate Valve = 1.6' of Pipe------------1.6'

(CHART)

Total Equivalent Length of 3"Pipe-------26.3'

Friction = 4.96 x 26.3 / 100--------------- 1.3'

(CHART)

Total Suction Head = 10’ - 1.30’= 8.7'

Discharge Static Head---------------------------60'

Friction Discharge SideTotal Length of 2" Pipe------------------------172'

(2) 45 deg 2" Elbow = 4.8'(2x2.4) of Pipe ---4.8'

(2) 90 deg 2" Elbow = 10.4(2x5.2)of Pipe---10.4'

(1) 2" Gate Valve = 1.1' of Pipe---------------1.1'

(1) 2" Check Valve = 14' of Pipe---------------14'

Total Equivalent Length of 2" Pipe ----------202.3'

Friction = 35.8 x 202.3/100-----------------72.4'

Total Discharge Head = 60’ + 72.4’ =132.4'

Find the Total Dynamic Head (TDH)

TDH = Total Discharge Head - Total Suction Lift

Fitting LossesEquivalent Length of Pipe in Feet

Pipe Diameter

GateValves Plug Globe Angle Check Foot

1.5" 0.9 - 45 23 11 392" 1.10 6.0 58 29 14 47

3" 1.6 8.0 86 43 20 644" 2.1 17 113 57 26 716" 3.2 65 170 85 39 77Pipe Diameter

Elbows Tube Turn

Tee Enlrg Contr

45 90 45 90 Strt Side 1:2 3:4 2:1 4:3

1.5" 1.9 4.1 1.4 2.3 2.7 8.1 2.6 1.0 1.5 1.02" 2.4 5.2 1.9 3.0 3.5 10.4 3.2 1.2 1.8 1.2

3" 3.6 7.7 2.9 4.5 5.2 15.5 4.7 1.7 2.8 1.7

4" 4.7 10.2 3.8 6.0 6.8 20.3 6.2 2.3 3.6 2.3

6" 7.1 15.3 5.8 9.0 10.2 31 9.5 3.4 5.6 3.4

Friction Drop ChartFriction Loss of Water in Feet per 100 Feet of Pipe

U.S. GPM

1"Pipe 2"Pipe 3"Pipe 4"Pipe 5"Pipe 6"Pipe

Vel Loss Vel Loss Vel Loss Vel Loss Vel Loss Vel Loss

10 3.72 11.7 1.02 0.50 0.45 0.07 - - - - - -

20 7.44 42.0 2.04 1.82 0.91 0.25 0.51 0.06 - - - -

30 11.15 89.0 3.06 3.84 1.36 0.54 0.77 0.13 0.49 0.04 - -

40 14.88 152 4.08 6.60 1.82 0.91 1.02 0.22 0.65 0.08 - -

50 - - 5.11 9.90 2.27 1.36 1.28 0.34 0.82 0.11 0.57 0.04

60 - - 6.13 13.9 2.72 1.92 1.53 0.47 0.98 0.16 0.68 0.06

70 - - 7.15 18.4 3.18 2.57 1.79 0.63 1.14 0.21 0.79 0.08

80 - - 8.17 23.7 3.65 3.28 2.04 0.81 1.31 0.27 0.91 0.11

90 - - 9.19 29.4 4.09 4.06 2.30 1.00 1.47 0.34 1.02 0.14

100 - - 10.2 35.8 4.54 4.96 2.55 1.22 1.63 0.41 1.13 0.17

110 - - 11.3 42.9 5.00 6.00 2.81 1.46 1.79 0.49 1.25 0.21

120 - - 12.3 50.0 5.45 7.00 3.06 1.72 1.96 0.58 1.36 0.24

130 - - 13.3 58.0 5.91 8.10 3.31 1.97 2.12 0.67 1.47 0.27

140 - - 14.3 67.0 6.35 9.20 3.57 2.28 2.29 0.76 1.59 0.32

150 - - 15.3 76.0 6.82 10.5 3.82 2.62 2.45 0.88 1.70 0.36

Suction Lift Application

SYSTEM CURVE OF PUMPING SYSTEM

•It represents the relationship between flow and hydraulic losses in a system in a graphic form.

•Since friction losses vary as a square of the flow rate, the system curve is parabolic in shape. 

•Hydraulic losses in piping systems are composed of pipe friction losses, valves, elbows and other fittings, entrance and exit losses, and losses from changes in pipe size by enlargement or reduction in diameter.

System Curve

Select pump size that can work with the system requirement

SYSTEM CURVE

                      

Pumps in series double the head at the same flow condition point.  One pump discharge is piped into the suction of the second pump producing twice the

head capability of each pump separately.  The second pump however must be capable of operating at the higher suction pressure which is produced

by pump number one.This mode of operation is a very cost effective way of overcoming high discharge heads when the

flow requirement remains the same

SERIES PUMPING

PARALLEL PUMPING

TDH FLOW

90' 0 GPM

87.5' 50 GPM

85' 100 GPM

80' 160 GPM

OPERATING POINT (A)

70' 300 GPM

TDH FLOW

90' 360 GPM

87.5' 410 GPM

85' 460 GPM

80' 470 GPM

OPERATING POINT (B)

87.5' 410 GPM

TDH FLOW

90' 360 GPM

87.5' 460 GPM

85' 560 GPM

80' 580 GPM

OPERATING POINT (C)

87.5' 460 GPM

3" & 4" pump4" pump3" pump

TDH FLOW

130' 100 GPM

120' 190 GPM

110' 280 GPM

100 360 GPM

OPERATING POINT (A)

85' 470 GPM

TDH FLOW

130' 200 GPM

120' 380 GPM

110' 560 GPM

100 720 GPM

OPERATING POINT (B)

105' 660 GPM

Parallel Pumping Identical Pumps