All System Pump Head Loos

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HEAD LOOS ,FRICTION , AND PUMP CALCULATION

Transcript of All System Pump Head Loos

SUMMERY SYSTEM HEAD LOOS CALCULATIONPROJECT : SYSTEM : Prepared ,& Calc. by : DATE : xx xx Eng. Faisal RaiSTEEL

1/12/2010

Pipe Material Flow rate ( q ) Pipe Diameter ( D ) Pipe Length ( L ) Riser , ELEV. 1 , 2. : Calculated Data Velocity ft/s (feet/second) The Reynolds Re number is: Friction parameter ( f ) Friction Factor HFP / L The pipe friction loss HFP is: Total head loss in the pipe line (h L) HEAD (TDH) = (Hs)+(Hf)+( Hp)+(Hv)

Z1 Z2

GPM inch Ft. Mt. Mt.

500 8 420.00 -6.40 91.4

Faisal Rai:

INPUT DATA

Ft./s

Ft. / 100 Ft. Ft.

3.19 175,008.81 0.0264 0.63 2.64 3.70 428.45 185.48 12.79

Ft. PSI Bar

PUMP SELECTION AND SIZING FLOW RATE TDH Q ( GPM) H (Ft.) Bar Water Hors Power WHP Brake Hors Power BHP BHP PUMP BRAKE HORSPOWER BHP+10% = KW PUMPING COST PER YEAR Working hours per year Electrical cost for operation Pumping Cost ( $ / Year) 500 428.45 12.79 54.10 72.13 79 59

hours / year $KWh $ USD

0.17 0.00

04/09/2010 Faisal Rai ARABTEC

PIPE FRICTION CALCULATIONPROJECT : xx INPUT DATA from Summary DATE : SYSTEM :

1/12/2010 xx

Liquid type q = flow rate D = pipe diameter L = pipe length

Water 500 8 420.00

GPM Inch Feet

Velocity ft/s (feet/second) The average velocity v in the pipe is: V = 0.4085 Xq / D = viscosity CSt (centistokes) , WATER at 60 F The Reynolds Re number is:

=

3.19 1.13

Ft / s

Re = 7745.8 x V *D / =

175008.811

= pipe roughness ( Ft ) f = friction parameter Non dimensional The friction parameter

0

f

is: + 5.74 / Re^0.9)} =0.026422

f = 0.25 / {Log10 ( /3.7*D

HFP / L friction factor (feet of fluid/100 ft) of pipe g = acceleration due to gravity (32.17 ft/s2) =32.17

Friction factor HFP / L is calculated with the Darcy-Weisback equation: HFP / L = 1200 f * V / D * 2g = The pipe friction loss HFP is: HFP = HFP / L * ( L/100) =2.64 0.63

Ft./100Ft of pipe

Feet

ESTIMATING PIPELINE HEAD LOSS AND PUMP SELECTION

USING DARCY WEISBACH METHOD Date : Done By: 1/12/2010 FR Page 1 of 4 ( Ft. ) DATA 0.03 0.03 420.00 500 8.

Project : xx System : xx APIPE LOSS CALCULATION hL = ( c1 X f X L X q ) / (d)^5

hL = head loss c1=conversion factor for head loss calculation (table1). f L q d = darcy friction factor from pipe friction calculation sheet. = pipe length (feet) = flowrate gal/min = pipe iside diameter ( inch)

To find the friction factor ( f ) from curve , Re & Rr sould be calculated: Reynolds no. Re = (c2 X q X ) / d X Relative roughness of the pipe Rr = /d c2 = conversion factor for reynolds No. calculation = fluid weight density = fluid absolute viscosity = Absolute reoughness values for clean pipe : Reynolds No. Re = R. Roughness Rr =

50.6 62.34 1.1 0 175,008.81 0.0002

Note:also f ,it can be calculated with these formulas :f =64/Re for laminar flow Re less than 2000 f ={-2log[Rr/3.7 - 5.02/Re log(Rr / 3.7+ 14.5/Re)]}- for turbulant flow Re greater than 2000 which is : Rr = /dWE CAN USE THIS FORMULA FOR NEW PIPES

f =0.005(1+1/40D)

0.00562

section L1 L2 L3 L4 L5 L6 L7

hL Calculation, For flowrate (q) { gal/min} &water @ 60F flowrate pip diam. friction pipe rough. pipe L q d f L(Ft) 500 8 0.026422 0 420.00 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 h L ( Ft ) 1 0 0 0 420

hL Ft 2.63 0.00 0.00 0.00 0.00 0.00 0.00 2.63

V ( Ft/s ) 3.19 0.00 0.00 0.00 0.00 0.00 0.00 V = 0.4085*q/d

Pipe Head Loss B-

VALVES AND FITTINGS HEAD LOSS hLvf = c3 X K Xq/d^4 ( Ft. )

c3 = conversion factor for valve head loos calculation K = valve resistance coefficient

K = f T X (L/d)f T = turbulant friction factors for a partucular pipe diam.

K FOR FITTINGS AND VALVES TYPE : TYPEPipe entrance,inward proj. Pipe entrance, Flush Pipe Exit , all

K 0.78 0.5 1 1.5OR

Ka

1.78

ESTIMATING PIPELINE HEAD LOSS AND PUMP SELECTION

USING DARCY WEISBACH METHOD Date : Done By: 1/12/2010 FR Page 2 of 4

Project : xx System : xx

K1n =[ f T X (L/d )] x No. of valve or fitting typeTable : 6 f T = turbulant friction factors for a partucular pipe diam.

L/d for valves and fittings Fitting Globe ValveGate Valve

PIPE Dia. ( Inch ) =

6 0 2 0 1 0 1 2 0 7 0 0 0 0 0 K1n 0 0.24 0 0.75 0 0.53 0.6 0 3.15 0 0 0 0 0 5.27

L/d

Lift Check Valve Swing Check Valve Ball Valve Butterfly Valve Tee Through Tee- Branch flow Elbow-90 Elbow -45 Bend r/D=3 Bend r/D=6 Bend r/D=12 Bend r/D=20

from 340 8 600 50 6 35 20 60 30 16 12 17 34 50

fT 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02

fitting Qty

0.02 0.02 0.02 0.02 0.02 0.02 K b fittings

kc for Equipment Equipment kc Equip. Qty. 0 CHIL. COIL 0 AHU COIL H.Exch. 0

kc11 0 0

kc0 0 0 0 0 0 0

Equip.kc =

K = Ka+(K1 + K2 + K3 +Kn )+kc for valves + fittings & Equipment =

K = Ka + Kb + Kc =

6.77

Pipe Head Loss

h L pipe h L fittings

Ft. Ft. Ft.

2.63 1.07 3.70

TOTAL VALVES & FITTINGS H. L.

Total head loss in the pipe line

(h L) =

ESTIMATING PIPELINE HEAD LOSS AND PUMP SELECTION

USING DARCY WEISBACH METHOD Date : Done By: Bernoulli theorem Page 3 of 4 1/12/2010 FR

Project : xx System : xx C TOTAL PRESSURE LOSS H = Z+[144 X P / ] + [ V / (2 X g)] ( pressure head and velocity head ) -6.40 91.4 -20.99 299.79

In Elivation (Z1) Pipe disch. Elev.(Z2)

Z = elevation above a reference levelp = pressure v = mean velocity of the fluid in the pipeline g = gravitional constat Differintial pressure calculation (p) =p1-p2 = /144 { Z2 - Z1 + (v2 - v1 ) / 2g + h L} h Ft fluid = 2.31 p (psi) / SG

Ft. PSI ft / s ft / s

320.780 32.2

PSI

140.48

Ft 324.50 Or TDH = Static Head Hf + Friction head Hf+ Velosity head HvHf = K X V / 2g Hf = f X L /100 Hv = V / 2g Static Head Extra for F.P System 1.07 2.63 0 320.78

45

PSI *** to be added

F.P.

>>>>>>>>>>>>>>>>>>>>>>> 1 PSI = 1 Bar = 0.07 14.5 Bar PSI

TDH =

Ft.PSI Bar

428.45185.48 12.79

ESTIMATING PIPELINE HEAD LOSS AND PUMP SELECTION

USING DARCY WEISBACH METHOD Date : Done By: 1/12/2010 FR Page 4 of 4

Project : xx System : xx

D

PUMP SELECTION AND SIZING

HEAD ( TDH ) = Static head (Hs) + friction head (Hf) + pressure hesd ( Hp) + velocity head(Hv)

Hp = Hf1-2+Hequi1-2+ 1/2g * ( V1^2 - V2^2)+ Z2+H2-( Z1 + H1 )Static head ( Hs) = is measured from the surface of the liquid in the section vessel to the surface of the liquid in the vessel where the liquid is being delivered. In closed-loop system , the total static head = 0 . Fittings & valves Friction head Pipe Friction head ( From friction loss chart ) Velocity head f = friction ft/ 100 ft K = resistance coefficient V = Fluid velocity ft/sec. g = acceleration due gravity = 32.2 ft./sec Design velocity = ( 4 - 6 ) ft / sec for section = ( 6 - 8 ) ft / sec for discharge 1 PUMP Horsepower and efficiency: water horsepower ( WHP ) = Outpot of the pump handlind a liquid WHP = (Q X H X sg) / 3960 2 Brake horsepower ( BHP ) = Actual supplied power from motor BHP = ( Q X H X sg ) / 3960 X = WHP / = pump efficiency 3 Electric current for sizing starters and wire ( I ) [ Amp.] I = 746 X BHP / 1.73 X E X PF X Eff for 3 ph I = 746 X BHP / E X PF X Eff for 1 ph SG 1 380 Q ( GPM) 500 E = Voltage ( volts) 0.85 H (Ft.) 428.45 PF = Power Factor 0.75 EFF. = Motor efficiency1.73

0.036.77 3.19

32.2

242.25 419.09

WHP BHP I ( AMP.)

54 72 128

PUMP BRAKE HORSPOWER BHP+10% =

HPKW

7959

ESTIMATING PIPELINE HEAD LOSS AND PUMP SELECTION

USING DARCY WEISBACH METHOD Date : Done By: 1/12/2010 FR

Project : xx System : xx

System Curve Calculationxx xx System Curve for Closed Systems System curve points. The points are calculated as follows: Closed System Curve (Friction Head Only) SYSTEM INPUTS: auto fill from Friction + HL 1.1 X DF 1 X DF .75 X DF .50 X DF .25 X DF 0 FlowNOTES : 1. To use this table, one must first have calculated the design flow (DF) and the design head (DH). 2. In closed systems, the friction head is the total head as well, so the values in the right hand column represent the heads for the system curve. System Flow Rate, GPM Friction Head, Ft.DESIGN FLOW GPM DESIGN FRICION. HEAD Ft. Static Head (Ft.) PRESSURE PSI

550 500 375 250 125 0

1.21 X DH 1 x DH 0.56 X DH 0.25 X DH 0.06 X DH 0.00 X DH

4.48 3.7 2.07 0.93 0.22 0

500

3.70

320.78

45.00

DF = DESIGN FLOW ( GPM ) DH = DESIGN HEAD ( Ft. )PRESSURE HEAD :

1 PSI = 2.31 Ft.

3. Total System Head = Friction Head System Curve for Open Systems Calculating System Curve Points for Open Systems System Friction Static Pressur Total Head, Head, Ft. Flow Head, Ft. Head, Ft. e head head( Ft.) head head Rate, Ft. 550 4.48 320.78 103.95 429.21 GPM 500 3.7 320.78 103.95 428.44 375 250 125 0 2.07 0.93 0.22 0 320.78 320.78 320.78 320.78 103.95 103.95 103.95 103.95 426.81 425.66 424.96 424.73

calculated static head and pressure head :Pressure head ( Ft.)

Velocity Head 0

103.95

For open systems: 428.44 Total System Head = Friction Head + Static Head + Pressure Head + Velocity HeadVelocity head appears in italics to remind us that velocity head is generally ignored, as it is insignificant in hydronic applications

Eng. FAISAL RAI SYSTEM CURVE 11.2008

Eng. FAISAL RAI SYSTEM CURVE 11.2008

CLOSED SYSTEM CURVE5