domestic water pump head calculations

7/27/2019 Domestic Water Pump Head Calculations

1/14

DOMESTIC WATER PUMP HEAD CALCULATIONS - CASE-1

Head loss calculation using ( 1 ) COLBROOK Formula ForPROJECT: 300 BED HOSPITAL-MEQAT AL MADI

no. mm m mm GPM l/s0.2

0.2

1.0

2.0

0.3

0.3

0.9

0.5

2.0

1.0 1/1 m m/s

A-B 200 PVC 170 2.9 0.01 1942 122 1 1 1.3 0.2 5.37

B-C 200 PVC 170 8.7 0.01 1942 122 1 0.9 5.37

C-D 110 PVC 93.6 1 0.01 647 40.8 1 1 1 1 3.3 5.923

E-F 110 PVC 93.6 1 0.01 647 40.8 1 1 1 2.4 5.923

F-G 200 PVC 170 7.8 0.01 1942 122 1 0.9 5.37

G-H 200 PVC 170 68.9 0.01 1942 122 4 1 2.1 2 5.37

H-I 150 PVC 136 125.2 0.01 1040 65.5 1 0.9 4.497

I-J 150 PVC 136 36.5 0.01 984 62 1 0.9 4.254

J-K 150 PVC 136 8.9 0.01 840 52.9 1 0.9 3.632

K-L 150 PVC 136 12 0.01 662 41.7 1 0.9 2.862

L-M 150 PVC 136 43.3 0.01 564 35.5 2 1.8 2.43

M-N 140 PVC 119 53.7 0.01 349 22 1 1 1.4 1.970

N-O 140 PVC 119 33.2 0.01 330 20.8 1 0.9 1.8

O-P 140 PVC 119 81.3 0.01 280 17.6 1 0.9 1.580

P-Q 90 PVC 76.6 57.2 0.01 145 9.14 1 1 1 1.7 1.982

Q-R 75 PVC 63.8 15.2 0.01 92 5.8 1 2 1 1 2.2 1.8

R-S75 PVC 63.8 5.9 0.01 44 2.77 1 0.9 0.867

S-T 75 PVC 63.8 4 0.01 44 2.77 1 0.9 4 0.867

T-U 63 PVC 53.6 4 0.01 36 2.27 1 1 1.4 4 1.005

U-V 50 PVC 42.6 3.2 0.01 22 1.39 1 1 1 1 1.9 4 0.972

V-W 50 PVC 42.6 10.4 0.01 17 1.07 2 1.8 0.751

W-X 40 PVC 34 3.6 0.01 7 0.44 1 0.9 0.485

X-Y 32 PVC 27.2 0.6 0.01 5 0.32 1 1 1.4 0.54

Y-Z 25 PVC 21.2 3.7 0.01 5 0.32 2 0.892

TOTAL 592 4 2 1 1 11 23 6 1 32.6 14.2 66.63

Static head =

Outlet pressure 35 PSI =

total friction loss =

total dynamic head =

Add 20 % safety =

DN

CheckValve

GH

Statichead

Local factors of fittings

Elbow

(45leg.)

Elbow

(90leg.)

Tee

Strainer

DischargeOutlet

V

MeanVelocity

Totallocalfactors

Reducer

GateValve

no.partofpipe

DN

Nominaldiam

eter

Footvalve

ID

PipeInnerdiameter

L

Pipelength

K

Piperoughness

Q

Flow

rate

Flexible


2/14

DOMESTIC WATER PUMP HEAD CALCULATIONS-CASE-1

Head loss calculation using ( 1 ) COLBROOK Formula For PROJECT: 300 BED HOSPITAL-MEQAT AL MADINAH

Head Loss Calculations:

The total friction loss Hs Consist of:

Hs = Hs1 + Hs2 . (1)

Where: Hs1 : Friction loss Inside pipes

Hs2 : Friction loss inside fittings

Linear friction loss equation:

Hs = J . L ... .... (2)

J = l . V / ( 2 g D ) .... (3)

Where: J : linear loss factor

L : length Of the pipe (m.)

l : friction loss factor (COLBROOK-WHITE formula)

V : velocity of water (m/s)

g : gravity acceleration (9.81 m/s)

D : pipe inside diameter (m.)

COLBROOK WHITE formula:.. ( 4 )

1

sqr(l)

Where: K : pipe inside Surface roughness (m.)


RE : REYNOLDS no. is given as follows: (1/1)

RE = V x D / n . ( 5 )

Where: n : water viscosity= ( n = 1E-06 m2/s)

V : velocity of water (m/s)


V = Q / A .... ( 6 )

Where: Q : flow rate (m/s)

A : cross section are of the pipe (m)

)2.51

= - 2 x log [ +k

3.7 x D Re x sqr( l )


3/14

Data for the First pipe : 200 PVC Pipe type & size 200

200 mm Out side diameter (mm)

14.9 mm Wall thickness (mm)

D = 0.1702 m : pipe inside diameter (m.)

K = 0.00001 m : pipe inside Surface roughness (m.)

Flow : Q = 1942.0 GPM = 122.346 l/s = 0.12235 m/sec

A = p x D2

/ 4 = 3.14 x 0.17 / 4 = 0.02275 m

V = Q / A = 5.378 m/s

Re = V x D / n = 5.378 x 0.1702 / 0.000001 = 915251.27

1

sqr(l) x sqr( l )

By solving above equation :

l = 0.01292

Loss m per 100 m = J x 100 = 0.11191 x 100 m = 11.191 m / 100m

Pipe length L = 2.9 m

dh(1) Liner loss = J x L = 0.11191 x 2.9 = 0.325 m

J = l . V / ( 2 g D ) =0.01292 x 5.3775 x 5.378

2 x 9.81 x 0.1702

915251.3]

= 0.11191 m/m

= - 2 log [2.51

3.7 x 0.17

0.00001+


4/14

Local losses equation is given as follows:

HS2 = SUM ZE . V / ( 2 . G ) .... (7)

Where: G : Gravity acceleration (9.81 m/s)V : Velocity of water (m/s)

SUM ZE : Sum of local loss factors

SUM ZE = Gate Valve 0 x 0.2 = 0

Flexible 0 x 0.2 = 0

Foot valve 1 x 1 = 1

Check Valve 0 x 2 = 0

Elbow ( 45 leg.) 0 x 0.3 = 0

Elbow ( 90 leg.) 1 x 0.3 = 0.3

Tee 0 x 0.9 = 0

Reducer 0 x 0.5 = 0

Strainer 0 x 2 = 0Discharge Outlet 0 x 1 = 0

Total local factors =

HS2 = SUM ZE . V / ( 2 . g )

DH Total loss = HS1 + HS2 = 0.325 + 1.916 = 2.241 m

Total head (DH+GH) / pipe = Static head + Friction losses . ( 8 )

= 0.2 + 2.241 = 2.441 m

= 1.916 m

1.30

HS(2) = SUM ZE.x V / ( 2 g ) = 1.3 x5.3775 X 5.3775

2 x 9.81


5/14

Data for the Second pipe : 200 PVC Pipe type & size =f_loss!B11





Flow : Q = 1942.0 GPM = 122.346 l/s = 0.12235 m/sec

A = p x D2

/ 4 = 3.14 x 0.17 / 4 = 0.02275 m

V = Q / A = 5.924 m/s

Re = V x D / n = 5.924 x 0.1702 / 0.000001 = 554471.34

1sqr(l) x sqr( l )

By solving above equation : l =




]

= 0.27387 m/mJ = l . V / ( 2 g D ) =0.01433 x 5.9238 x 5.924

554471.3= - 2 log [ 0.00001 + 2.51

3.7 x 0.17

0.01433

2 x 9.81 x 0.1702


6/14


HS2 = SUM ZE . V / ( 2 . G )

SUM ZE = Gate Valve 0 x 0.2 = 0Flexible 0 x 0.2 = 0



Elbow ( 45 leg.) 0 x 0.3 = 0

Elbow ( 90 leg.) 0 x 0.3 = 0

Tee 1 x 0.9 = 0.9

Reducer 0 x 0.5 = 0

Strainer 0 x 2 = 0

Discharge Outlet 0 x 1 = 0


HS2 = SUM ZE . V / ( 2 . g )

DH Total loss = HS1 + HS2 = 0.974 + 1.326 = 2.3 m

Total head (DH+GH) / pipe = Static head + Friction losses

= 0.0 + 4.566 = 4.566 m

= 4.2926 m

0.90

HS(2) = SUM ZE.x V / ( 2 g ) = 0.9 x5.9238 X 5.9238

2 x 9.81


7/14

Data for the Third pipe : 110 PVC Pipe type & size



D = 0.0936 m : pipe inside diameter (m.)K = 0.00001 m : pipe inside Surface roughness (m.)

Flow : Q = 647.0 GPM = 40.761 l/s = 0.04076 m/sec

A = x D2

/ 4 = 3.14 x 0.094 / 4 = 0.00688 m

V = Q / A = 5.924 m/s

Re = V x D / n = 5.924 x 0.0936 / 0.3 = 554471.34

1sqr(l) x sqr( l )

By solving above equation : l =





HS2 = SUM ZE . V / ( 2 . G )

SUM ZE = Gate Valve 1 x 0.2 = 0.2Flexible 1 x 0.2 = 0.2Foot valve 0 x 1 = 0Check Valve 0 x 2 = 0Elbow ( 45 leg.) 0 x 0.3 = 0Elbow ( 90 leg.) 0 x 0.3 = 0Tee 1 x 0.9 = 0.9Reducer 0 x 0.5 = 0Strainer 1 x 2 = 2Discharge Outlet 0 x 1 = 0

0 =

HS2 = SUM ZE . V / ( 2 . g )

= HS1 + HS2 = 0.274 + 5.902 = 6.176 m

= Static head + Friction losses

= 0.0 + 6.176 = 6.176 m

= 0.0 m5.9238 X 5.9238

3.3 x

= 0.0 m/m0.01433 x 5.9238 x 5.924

0.01433

]2.51

+0.00001

= - 2 log [915251.33.7 x 0.094

HS(2) = SUM ZE.x V / ( 2 g ) =

3.30

2 x 9.81 x 0.0936

2 x 9.81

J = l . V / ( 2 g D ) =


8/14

Data for the Fourth pipe : 110 PVC Pipe type & size 110




Flow : Q = 647.0 GPM = 40.761 l/s = 0.04076 m/sec

A = p x D2

/ 4 = 3.14 x 0.094 / 4 = 0.00688 m

V = Q / A = 5.924 m/s

Re = V x D / n = 5.924 x 0.0936 / = 554471.34

1sqr(l) x sqr( l )


l = 0.01433




J = l . V / ( 2 g D ) =0.01433 x 5.9238 x 5.924

= 0.0 m/m2 x 9.81 x 0.0936

]3.7 x 0.094 0.0

= - 2 log [ 0.00001 + 2.51


9/14


HS2 = SUM ZE . V / ( 2 . G ) .... (7)



SUM ZE = Gate Valve 1 x 0.2 = 0.2

Flexible 1 x 0.2 = 0.2



Elbow ( 45 leg.) 0 x 0.3 = 0

Elbow ( 90 leg.) 0 x 0.3 = 0

Tee 0 x 0.9 = 0

Reducer 0 x 0.5 = 0



HS2 = SUM ZE . V / ( 2 . g )

= HS1 + HS2 = 0.274 + 4.293 = 4.566 m

= Static head + Friction losses . ( 8 )

= 0.0 + 4.566 = 4.566 m

2.40

2.4 x5.9238 X 5.9238

= 4.2926 m2 x 9.81

HS(2) = SUM ZE.x V / ( 2 g ) =


10/14

Data for the Fifth pipe : 200 PVC Pipe type & size 200





Flow : Q = 1942.0 GPM = 122.346 l/s = 0.12235 m/sec

A = p x D2

/ 4 = 3.14 x 0.17 / 4 = 0.02275 m

V = Q / A = 5.378 m/s

Re = V x D / n = 5.378 x 0.1702 / = 915251.27

1

sqr(l) x sqr( l )


l = 0.01292




= - 2 log [

J = l . V / ( 2 g D ) =0.01292 x 5.3775 x 5.378

= 0.11191 m/m2 x 9.81 x 0.1702

]3.7 x 0.17

0.00001+

2.51

915251.3


11/14


HS2 = SUM ZE . V / ( 2 . G ) .... (7)



SUM ZE = Gate Valve 0 x 0.2 = 0

Flexible 0 x 0.2 = 0



Elbow ( 45 leg.) 0 x 0.3 = 0

Elbow ( 90 leg.) 0 x 0.3 = 0

Tee 1 x 0.9 = 0.9

Reducer 0 x 0.5 = 0



HS2 = SUM ZE . V / ( 2 . g )

= HS1 + HS2 = 0.873 + 1.326 = 2.199 m


= 0.0 + 2.199 = 2.199 m

2 x 9.81

0.90

HS(2) = SUM ZE.x V / ( 2 g ) = 0.9 x5.3775 X 5.3775

= 1.3265 m


12/14

Data for the Sexth pipe : 150 PVC Pipe type & size 150200 mm Out side diameter (mm)



Flow : Q = 1942.0 GPM = 122.346 l/s = 0.12235 m/sec

A = x D2

/ 4 = 3.14 x 0.17 / 4 = 0.02275 m

V = Q / A = 5.378 m/s

Re = V x D / n = 5.378 x 0.1702 / = 915251.27

1sqr(l) x sqr( l )


l = 0.01292




= - 2 log [0.00001

+2.51

]3.7 x 0.17 0.0

J = l . V / ( 2 g D ) =0.01292 x 5.3775 x 5.378

= 0.0 m/m2 x 9.81 x 0.1702


13/14


HS2 = SUM ZE . V / ( 2 . G ) .... (7)

Where: G : Gravity acceleration (9.81 m/s)

V : Velocity of water (m/s)SUM ZE : Sum of local loss factors

SUM ZE = 0 0 x 0.2 = 00 0 x 0.2 = 00 0 x 1 = 00 0 x 2 = 00 0 x 0.3 = 00 4 x 0.3 = 1.20 1 x 0.9 = 0.90 0 x 0.5 = 00 0 x 2 = 00 0 x 1 = 00 =

HS2 = SUM ZE . V / ( 2 . g )

= HS1 + HS2 = 7.71 + 3.095 = 10.806 m


= 2.0 + 10.806 = 12.806 m

2.10

HS(2) = SUM ZE.x V / ( 2 g ) = 2.1 x5.3775 X 5.3775

= 3.0952 m2 x 9.81


14/14

Data for the Seventh pipe : 63 PVC Pipe type & size 63160 mm Out side diameter (mm)




Flow : Q = 1040.0 GPM = 65.52 l/s = 0.06552 m/sec

A = x D2

/ 4 = 3.14 x 0.136 / 4 = 0.01457 m

V = Q / A = 4.497 m/s

Re = V x D / n = 4.497 x 0.1362 / = 612501.14

1sqr(l) x sqr( l )


l = 0.01376





HS2 = SUM ZE . V / ( 2 . G ) .... (7)



SUM ZE = 0 0 x 0.2 = 00 0 x 0.2 = 00 0 x 1 = 00 0 x 2 = 00 0 x 0.3 = 00 0 x 0.3 = 00 1 x 0.9 = 0.90 0 x 0.5 = 00 0 x 2 = 00 0 x 1 = 0

0 =

HS2 = SUM ZE . V / ( 2 . g )

= HS1 + HS2 = 13.041 + 0.928 = 13.969 m


= 0.0 + 13.969 = 13.969 mOther pipes are calculated same as above, All data and results are arranged in the following table :

= - 2 log [0.00001

+2.51

]3.7 x 0.136 0.0

J = l . V / ( 2 g D ) =0.01376 x 4.4971 x 4.497

= 0.0 m/m2 x 9.81 x 0.1362

0.90

HS(2) = SUM ZE.x V / ( 2 g ) = 0.9 x4.4971 X 4.4971

= 0.9277 m2 x 9.81

domestic water pump head calculations

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