potable water booster pump calculations
DESCRIPTION
potable booster pumpTRANSCRIPT
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
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.
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
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
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
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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
PROJECT NAME : TAIF UNIVERSITY HOUSING (MALE).
Head loss calculation using ( 1 ) COLBROOK Formula For###
K P
ipe
ro
ug
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ess
Local factors of fittings
F L
iner
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er
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(1)
Lin
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(2)
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oss
DH
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oss
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DH
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H)
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ia fi
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elb
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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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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)
A : cross section are of the pipe (m²)
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 ) =
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
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
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