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ZUHAIR FAYEZ PARTNERSHIP MINISTRY OF HIGHER EDUCATION CONTRACTOR : RMC AL-RASHID & AL-MANG PROJECT NO: 357 LOCATION : TAIF UNIVERSITY - TAIF(K.S.A) PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE). ( 1 ) WATER DEMAND ( 2 ) TOTAL DYNAMIC HEAD Prepared By Checked By Eng. Ahmed Hikal Eng. Aboobucker Sedi Mechanical Project Engineer Chief of Mechanical HYDRAULIC CALCULATION FOR POTABLE WATER BOOSTER PUMP Rev. 01

Potable Water Booster Pump Calculations

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Page 1: Potable Water Booster Pump Calculations

ZUHAIR FAYEZ PARTNERSHIP MINISTRY OF HIGHER EDUCATION CONTRACTOR :

RMCAL-RASHID & AL-MANGOUR CO

PROJECT NO: 357 LOCATION : TAIF UNIVERSITY - TAIF(K.S.A)PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE).

( 1 ) WATER DEMAND

( 2 ) TOTAL DYNAMIC HEAD

Prepared By Checked By

Eng. Ahmed Hikal Eng. Aboobucker SediqMechanical Project Engineer Chief of Mechanical Dept.

HYDRAULIC CALCULATION FOR

POTABLE WATER BOOSTER PUMPRev. 01

Page 2: Potable Water Booster Pump Calculations

CONTENTS:

SL.# DESCRIPTION

A Hydrolic calculations for potable water booster pumps.

A-1 Table of total fixtures.

A-2 Potable water booster pump demand.

A-3 Flow rate through the piping system to the farthest point.

A-4 Head loss calculations.

A-5 Conclusion of the hydrolic calculations for potable water booste pumps.

B Hydrolic calculations for flush water booster pumps.

B-1 Table of total fixtures.

B-2 Flush water booster pump demand.

B-3 Flow rate through the piping system to the farthest point.

B-4 Head loss calculations.

B-5 Conclusion of the hydrolic calculations for flush water booste pumps.

C Refrence sheets from Uniform Plumbing Code

D Water supply layout showing the farthest point.

Page 3: Potable Water Booster Pump Calculations

PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE).

Table of total fixtures

Fixture type : PRIVATE

FIXTURES / POINT NO. B1 G.F. F.F 2nd.F 3rd F 4th F. 5th F 6th F 7th F 8th F 9th F 10th F 11th F 12th F 13th F

Water closet (flush valve) 0

Water closet (flush tank) 0

Water Bidet 0

Hose for W.C 36 40 40 40 40 196

Lavatory (& H.B.) 64 80 80 80 80 384

Janitor Sink 0

Service sink 0

Shower 30 40 40 40 40 190

Bath tub 0

Kitchen sink 5 4 4 4 4 21

Drinking water cooler 5 5 5 5 5 25

Dishwashing machine

Laundry 0

Ablution (Public) 0

Urinal (1" flush valve) 0

Urinal (3/4" flush valve) 0

Urinal (flush tank) 0

Total fixtures

Page 4: Potable Water Booster Pump Calculations

PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE).

POTABLE WATER BOOSTER PUPM DEMAND

TOTAL DOMESTIC WATER DEMAND CALCULATION Fixtures type : PRIVATE

FIXTURESWeight in Fixture units

QuantityTotal weight in fixture units

Cold Hot Total Cold Hot Total

Water closet (flush valve) 6 0 6 0 0 0 0

Water closet (flush tank) 3 0 3 0 0 0 0

Water Bidet 0.75 0.75 1 0 0 0 0

Hose for W.C 0.75 0.75 1 196 147 147 196

Lavatory (& H.B.) 0.75 0.75 1 384 288 288 384

Janitor Sink 0.75 0.75 1 0 0 0 0

Service sink 1.5 1.5 2 0 0 0 0

Shower 1.5 1.5 2 190 285 285 380

Bath tub 1.5 1.5 2 0 0 0 0

Kitchen sink 1.5 1.5 2 21 31.5 31.5 42

Drinking water cooler 1 1 25 25 0 25

Dishwashing machine 0 1 1 0 0 0 0

Laundry 1.5 1.5 2 0 0 0 0

Ablution (Public) 1 1 1.5 0 0 0 0

Urinal (1" flush valve) 10 0 10 0 0 0 0

Urinal (3/4" flush valve) 5 0 5 0 0 0 0

Urinal (flush tank) 3 0 3 0 0 0 0

Total Fixture Units 776.5 751.5 1027WATER DEMAND ( GPM ) 174.0 GPM 170.2 GPM 211.5 GPM

39.50 m3/h 38.64 m3/h 48.00 m3/h

Booster pump capacity 211.5 gpm ( Assuming three pumps with 70 gpm )48.0013.33 l/s

WATER DEMAND ( m3/ h )

m3/h

Page 5: Potable Water Booster Pump Calculations

PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE).

POTABLE WATER PUMPS

Flow rate through the piping system to the farthest point Fixture type : PRIVATE

FIXTURES / POINT NO.

Load p-o o-n n-m m-l l-k k-j j-i i-h h-g g-f f-e e-d d-c c-b b-a

PRIVATE Total Total Total Total Total Total Total Total Total Total Total Total Total Total Totalco

ld

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d

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d

T.F

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d

T.F

ix.

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.u

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d

T.F

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T.F

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T.F

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d

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tal f

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To

tal f

.u

Water closet (flush valve) 6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Water closet (flush tank) 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Water Bidet

0.7

5

0.7

5

1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Hose for W.C

0.7

5

0.7

5

1 0 0 0 0 0 0 1 1 1 1 2 2 2 4 4 2 6 6 2 8 8 2 10

10

10

10

10

20

20

10

30

30

20

50

50

48

98

98

50

14

8

14

8

48

19

6

19

6

Lavatory (& H.B.)

0.7

5

0.7

5

1 1 1 1 0 1 1 1 2 2 2 4 4 4 8 8 4 12

12 4 16

16 4 20

20

20

20

20

40

40

20

60

60

39

99

99

93

19

2

19

2

99

29

1

29

1

93

38

4

38

4

Janitor Sink

0.7

5

0.7

5

1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Service sink 1.5

1.5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Shower 1.5

1.5 2 0 0 0 1 1 2 0 1 2 1 2 4 2 4 8 2 6 12 2 8 16 2 10

20

10

20

10

20

40

10

30

60

20

50

10

0

45

95

19

0

50

14

5

29

0

45

19

0

38

0

Bath tub 1.5

1.5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Kitchen sink 1.5

1.5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 10 5 10 5 10 5 10 6 11

22 5 16

32 5 21

42

Drinking water cooler 1 1 25

25

25

Dishwashing machine 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Laundry 1.5

1.5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Ablution (Public) 1 1 1.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Urinal (1" flush valve) 10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Urinal (3/4" flush valve) 5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Urinal (flush tank) 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

SUM Total f.u. 1 3 5 10

20

30

40

50

60

11

0

16

0

25

9

50

2

76

1

10

27

Flow rate ( gpm ) 1 3 4 8 14

20

25

29

32

46

57

77

12

5

17

2

21

1

Page 6: Potable Water Booster Pump Calculations

PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE).

Head loss calculation using ( 1 ) COLBROOK Formula For###

K P

ipe

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Local factors of fittings

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iner

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(2)

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DH

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ain

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oca

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cto

rs

no. DN mm m mm GPM l/s 0.2

1.0

1.0

2.0

0.3

0.3

0.9

0.5

2.0

1.0 1/1 m m/s 1/1 1/1 m m m m m m

A TO B 110 PVC 93.6 8 0.01 211 13.3 1 0 0 1 0 1 4 0 6.1 1.93606 181215.29 0.01672 3.41 0.27 1.165 1.44 1.44 1.438

B TO C 110 PVC 93.6 27 0.01 172 10.8 1 1 1 1.4 0 1.5718 147120.87 0.01731 2.33 0.63 0.176 0.81 0.81 2.243

C TO D 90 PVC 76.6 10 0.01 125 7.9 1 0 1 0 1.1 0 1.71377 131274.65 0.01779 3.48 0.35 0.165 0.51 0.51 2.756

D TO E 90 PVC 76.6 11 0.01 77 4.84 0 1 1 1.4 0 1.04992 80423.528 0.01943 1.43 0.16 0.079 0.24 0.24 2.991

E TO F 75 PVC 63.8 20 0.01 57 3.59 1 1 1 1.7 0 1.12327 71664.627 0.01997 2.01 0.4 0.109 0.51 0.51 3.503

F TO G 63 PVC 53.6 6 0.01 46 2.88 1 1 1.4 0 1.27736 68466.319 0.02027 3.14 0.19 0.116 0.31 0.31 3.808

G TO H 63 PVC 53.6 3.5 0.01 32 2.02 1 0.9 0.89345 47889.01 0.02172 1.65 0.06 0.037 0.09 0.09 3.903

H TO I 50 PVC 42.6 7 0.01 29 1.83 1 3 1 1 2.5 1.28183 54605.837 0.02133 4.19 0.29 0.209 0.5 0.5 4.405

I TO J 40 PVC 34 3.5 0.01 25 1.56 3 1 3.2 1.72086 58509.102 0.02127 9.44 0.33 0.483 0.81 0.81 5.219

J TO K 40 PVC 34 3.5 0.01 20 1.26 2 1.8 1.38779 47184.76 0.02214 6.39 0.22 0.177 0.4 0.4 5.619

K TO L 40 PVC 34 3.5 0.01 14 0.88 2 1.8 0.97145 33029.332 0.02376 3.36 0.12 0.087 0.2 0.2 5.824

L TO M 32 PVC 27.2 3.5 0.01 8 0.5 2 1 2.3 0.86737 23592.38 0.0257 3.62 0.13 0.088 0.21 0.21 6.039

M TO N 25 PVC 21.2 1.5 0.01 4 0.26 1 1 2 1 2.8 0.74365 15765.348 0.02831 3.76 0.06 0.079 0.14 0.14 6.174

N TO O 25 PVC 21.2 2 0.01 3 0.16 1 0.9 0.44619 9459.2089 0.03198 1.53 0.03 0.009 0.04 0.04 6.214

O TO P 20 PVC 17 2.5 0.01 1 0.05 3 1 1.4 0.2313 3932.0633 0.04052 0.65 0.02 0.004 0.02 0.02 6.234

TOTAL 113 5 0 0 1 0 10 23 8 0 0 30.7 0 17.2161 974132.32 0.34822 50.4 3 3 6 6.23

Static head = 0.00 m

Outlet pressure 20 PSI = 14.00 m

total friction loss = 6.23 m

total dynamic head = 20.23 m

Add 10 % safety 0.00 = 22.26 m , 73 ft

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Page 7: Potable Water Booster Pump Calculations

POTABLE WATER BOOSTER PUMP

PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE).

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)

Where: J : linear loss factor

L : length Of the pipe (m.)

: friction loss factor (COLBROOK-WHITE formula)

V : velocity of water (m/s)

g : gravity acceleration (9.81 m/s²)

D : pipe inside diameter (m.)

COLBROOK WHITE formula:……………………………………………………………….. ( 4 )

1 = - 2 x log [

k+

2.51)

3.7 x D

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

D : pipe inside diameter (m.)

RE : REYNOLD’S no. is given as follows: (1/1)

Where: n 1E-06

V : velocity of water (m/s)

D : pipe inside diameter (m.)

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

Where: Q : flow rate (m³/s)

J = l . V² / ( 2 g D ) ………..…………………………………………………………….. (3)

l

sqr(l) Re x sqr( l )

RE = V x D / n …………………………………………………………………………. ( 5 )

: water viscosity= ( n = m2/s)

Page 8: Potable Water Booster Pump Calculations

A : cross section are of the pipe (m²)

Page 9: Potable Water Booster Pump Calculations

Apply the equations 110 PVC Pipe type & size 110

for the First pipe : 110 mm Out side diameter (mm)

8.2 mm Wall thickness (mm)

D = 0.0936 m : pipe inside diameter (m.)

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

Flow : Q = 211.456 GPM = 13.322 l/s = 0.01332 m³/sec

A = 3.14 x 0.094 ² / 4 = 0.00688 m²

V = Q / A = 1.936 m/s

1.936 x 0.0936 / 0.000001 = 181215.29

1 = - 2 log [

0.00001+

2.51 ]

3.7 x 0.094 181215.3

By solving above equation :

0.01672

0.01672 x 1.9361 x 1.936= 0.03412 m/m

2 x 9.81 x 0.0936

Loss m per 100 m = J x 100 = 0.03412 x 100 m = 3.412 m / 100m

Pipe length L = 8.0 m

dh(1) Liner loss = J x L = 0.03412 x 8.0 = 0.273 m

p x D2 / 4 =

Re = V x D / n =

sqr(l) x sqr( l )

l =

J = l . V² / ( 2 g D ) =

Page 10: Potable Water Booster Pump Calculations

Local losses equation is given as follows:

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

Where: G : Gravity acceleration (9.81 m/s²)

V : Velocity of water (m/s)

SUM ZE : Sum of local loss factors

SUM ZE = gate valve 1 x 0.2 = 0.2

Multimedia filter 0 x 1 = 0

Foot valve 0 x 1 = 0

check valve 1 x 2 = 2

elbow ( 45 leg.) 0 x 0.3 = 0

elbow ( 90 leg.) 1 x 0.3 = 0.3

tee 4 x 0.9 = 3.6

reducer 0 x 0.5 = 0

Strainer 0 x 2 = 0

discharge outlet 0 x 1 = 0

Total local factors = 6.10

HS2 = SUM ZE . V ² / ( 2 . g )

HS(2) = SUM ZE.x V² / ( 2 g ) = 6.1 x 1.9361 X 1.9361

= 1.1654 m 2 x 9.81

DH Total loss = HS1 + HS2 = 0.273 + 1.165 = 1.438 m

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

= 0.0 + 1.438 = 1.438 m

Page 11: Potable Water Booster Pump Calculations

PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE).

POTABLE WATER BOOSTER PUMP :

Based on the previous calculations and refering to tender documents,

The potable water booster pump will be a set of three pumps

Each: 70 GPM @ 80 FT head

Page 12: Potable Water Booster Pump Calculations

ZUHAIR FAYEZ PARTNERSHIP MINISTRY OF HIGHER EDUCATION CONTRACTOR :

RMCAL-RASHID & AL-MANGOUR CO

PROJECT NO: 357 LOCATION : TAIF UNIVERSITY - TAIF(K.S.A)PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE).

( 1 ) WATER DEMAND

( 2 ) TOTAL DYNAMIC HEAD

Prepared By Checked By

Eng. Ahmed Hikal Eng. Aboobucker SediqMechanical Project Engineer Chief of Mechanical Dept.

HYDRAULIC CALCULATION FOR

POTABLE & FLUSH WATER BOOSTER PUMPS