General data : Required capacity : 750 GPM Outlet pressure : 65 PSI (45 m) Farthest fire hydrants working together : 3 Flow for each fire hydrant : 250 GPM Static head : 4.5 m
Project :Zanitty Example
Table of total fixtures Fixture type : PRIVATE FIXTURES / POINT NO. Water closet (flush valve) Water closet (flush tank) Water Bidet Hose for W.C Lavatory (& H.B.) Janitor Sink Service sink Shower Bath tub Kitchen sink Dishwashing machine Laundry Ablution (Public) Urinal (1" flush valve) Urinal (3/4" flush valve) Urinal (flush tank)
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
Total fixtures
Project :Zanitty Example
DOMESTIC WATER TRANSFER PUPM DEMAND TOTAL DOMESTIC WATER DEMAND CALCULATION
Fixtures type : Weight in Fixture units
FIXTURES
Cold 6 3 0.75 0.75 0.75 0.75 1.5 1.5 1.5 1.5
Water closet (flush valve) Water closet (flush tank) Water Bidet Hose for W.C Lavatory (& H.B.) Janitor Sink Service sink Shower Bath tub Kitchen sink Dishwashing machine Laundry Ablution (Public) Urinal (1" flush valve) Urinal (3/4" flush valve) Urinal (flush tank)
1.5 1 10 5 3
Hot
0.75 0.75 0.75 0.75 1.5 1.5 1.5 1.5 1 1.5 1
Total 6 3 1 1 1 1 2 2 2 2 1 2 1.5 10 5 3
PRIVATE Quantity
Total weight in fixture units Cold
Hot
Total Fixture Units WATER DEMAND ( GPM ) WATER DEMAND ( m3 / h )
Assuming Peak factor : Duration :
1.8 60
min
The mean demand Overhead tank size
gpm gallon m3
(mean demand = peak demand / peak factor ) ( Overhead tank size = (peak demand - mean demand) x duration }
Transfer pump capacity
gpm m3/h l/s
( Transfer pump capacity = mean demand , Assuming one pump running & one standby)
Total
Project :Zanitty Example POTABLE WATER PUMPS Flow rate through the piping system to the farthest point
1.5
2
1
2
2
2
2
1
1
1
1
3
6
5
5
Urinal (flush tank)
3
SUM Total f.u.
Flow rate ( gpm )
Total f.u
T.Fix.
Add
Total f.u
T.Fix.
Add
Total f.u
T.Fix.
Add
Total f.u
T.Fix.
Add
Total f.u
T.Fix.
hot 0.75 0.75 0.75 1.5 1.5 1.5 1
1 1.5
Urinal (3/4" flush valve)
3
Urinal (1" flush valve)
1
Ablution (Public)
10
Laundry
0.75
3 0.75 0.75 0.75
Dishwashing machine
10
Kitchen sink
1.5
Bath tub
1.5
Shower
6
cold Service sink
0.75
Janitor Sink
1.5
Lavatory (& H.B.)
1.5
Hose for W.C
1.5
Water Bidet
1.5
Water closet (flush tank)
Add
Total
Total f.u
Total
T.Fix.
Total
Add
Total
Total f.u
Total
T.Fix.
Total
Add
Total
Total f.u
Pump to A
Total
T.Fix.
A-B
Total
Add
B-C
Total
Total f.u
C-D
PRIVATE
T.Fix.
D-E
Add
E-F
Total f.u
F-G
T.Fix.
G-H
Add
H-I
Total
I-J
FIXTURES / POINT NO.
Water closet (flush valve)
Fixture type : PRIVATE
Load
DN Nominal diameter
ID Pipe Inner diameter L Pipe length
no. DN mm m
208to218 76 BS
219to220 102 BS 102 0.04 146 9.2
221to226 127 BS 128 8.2 0.04 210 13
226to228 150 BS 154 2.3 0.04 418 26
229to262 200 BS 203 54 0.04 800 50 4
263to292 200 BS 203 147 0.04 800 50 12
293to306 200 BS 203 54 0.04 800 50 2 4
307to335 200 BS 203 38 0.04 800 50 2 4 4 4
336to346 102 BS 102 1.3 0.04 400 25
20 16 7 9
TOTAL ## mm GPM l/s
78 3.4 0.04 81
1 Butterfly valve 4"
1 1 1 2
1 1 1 2 1
Static head
total friction loss
total dynamic head
Butterfly valve 10"
2
2 1
Butterfly valve 6"
Butterfly valve 10"
8 3 1
Butterfly valve 8"
Local factors of fittings
3
Butterfly valve 5"
1 3
1
3 1 2
1 1 2
2 2 1 1
2 2 1 1
Butterfly valve 3" 2.0 Felexible Conn. 3"
1
1.1
1
2.0 Equal tee
5.1
2.3 Elbow ( 90 deg.) 3"
4.3 Reducing tee
2.0
4.3 Elbow ( 90 deg.) 5"
4.3 Elbow (long 90 deg.) 8"
0.6 Y-Strainer 8"
3.0
4.3 Equal tee
9.3 DRV 8"
6.6 Elbow ( 90 deg.) 8"
3.3 Elbow ( 45 deg.) 8"
4.0
8.2 Reducing tee
8.2 Elbow ( 90 deg.) 10"
0.2 Check Valve
0.3 Y-Strainer 6"
3.3 Felexible Conn. 6"
2.3
5.3 Reducing tee
5.3 Elbow ( 90 deg.) 6"
5.3 Equal tee
8.2 Reducing tee
4.0
8.2 Elbow ( 90 deg.) 10"
3.3 Reducing tee
3.3 Elbow ( 90 deg.) 4"
1.7 Elbow ( 45 deg.) 4"
0.3 Motorized valve 4"
0.7 Y-Strainer 4"
Head loss calculation using ( 1 ) COLBROOK Formula
2.2 Felexible Conn. 4"
1.5
Q Flow rate
K Pipe roughness
no. part of pipe
Project :Zanitty Example
For DOMESTIC WATER BOOSTER
Total local factors
GH Static head
V Mean Velocity
RE Reynolds number
F Liner loss factor
Loss m per 100 m
dh(1) Liner loss
dh(2) Local loss
DH Total loss
Total head (DH+GH) / pipe
Accumulative Pressure
1/1
m
m/s
1/1
1/1
m
m
m
m
m
m
rs of fittings
11.7
1.0679
83299.2 0.0209 1.56 0.05 0.7
0.73 0.73 0.733
3.3
1.1226
114502 0.0195 1.23 0.01 0.2
0.22 0.22 0.957
14.9
1.0281
131601 0.0188 0.79 0.06 0.8
0.87 0.87 1.825
12.6
1.4138
217724 0.0173 1.14 0.03 1.3
1.31 1.31 3.135
167
1.5572
316115 0.0161 0.98 0.53
21
21.1 21.1 24.28
67.5
1.5572
316115 0.0161 0.98 1.44 8.3
9.79 9.79 34.07
36
1.5572
316115 0.0161 0.98 0.53 4.4
4.97 4.97 39.04
50.2
1.5572
316115 0.0161 0.98 0.38 6.2
6.58 6.58 45.62
11
3.084
314565 0.0175 8.32 0.11 5.3
5.43 5.43 51.05
374
13.945
2126150 0.1584
=
m
=
51.05 m
=
51.05 m
17
3
48
51
51.05
DOMESTIC WATER BOOSTER
Project :Zanitty Example
0
Head Loss Calculations: The total friction loss Hs Consist of: Hs
Hs1 + Hs2
=
Where:
Hs1 Hs2
…………………………………………………….…… (1) : Friction loss Inside pipes : Friction loss inside fittings
Linear friction loss equation: Hs =
J . L …………………………………… ……………………………………... .... (2)
J = l . V² / ( 2 g D ) ………..…………………………………………………………….. (3) Where:
J L l V g D
: linear loss factor : length Of the pipe (m.) : friction loss factor (COLBROOK-WHITE formula) : velocity of water (m/s) : gravity acceleration (9.81 m/s²) : pipe inside diameter (m.)
COLBROOK WHITE formula:……………………………………………………………….. ( 4 )
1 sqr(l)
Where:
= - 2 x log [
K D RE
k 3.7 x D
+
2.51 Re x sqr( l )
: pipe inside Surface roughness (m.) : pipe inside diameter (m.) : REYNOLD’S no. is given as follows: (1/1)
RE = V x D / n …………………………………………………………………………. ( 5 ) Where:
V = Q/A Where:
n V D
: water viscosity= ( n = 1E-06 : velocity of water (m/s) : pipe inside diameter (m.)
m2/s)
………………………………………...………………………………………. ( 6 ) Q A
: flow rate (m³/s) : cross section are of the pipe (m²)
J = l . V² / ( 2 g D ) = Loss m per 100 m = J x 100 =
0.00982 x 100 m = 0.982
= 0.0 m/m m / 100m
Pipe length L = 53.5 m dh(1) Liner loss = J x L = 0.00982 x 53.5 = 0.525 m Local losses equation is given as follows: HS2
=
SUM ZE . V ² / ( 2 . G ) …..…………………………………………………….. (7)
Where:
SUM ZE =
HS2
: Gravity acceleration (9.81 m/s²) : Velocity of water (m/s) : Sum of local loss factors
G V SUM ZE
=
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
x x x x x x x x x x
1.47 2.2 0.7 0.3 1.7 3.3 3.3 8.2 4 8.2 =
= = = = = = = = = =
0 0 0 0 0 0 0 0 0 0 0.00
SUM ZE . V ² / ( 2 . g )
HS(2) = SUM ZE.x V² / ( 2 g ) =
0 x
1.5572 X 1.5572 2 x 9.81
= HS1 + HS2 = 0.525 + 4.449 = 4.975 m = Static head + Friction losses ………………………. ( 8 ) = 0.0 + 4.975 = 4.975 m
= 4.4494 m
]
IRRIGATION PUMPS
RE Reynolds number
F Liner loss factor
Loss m per 100 m
dh(1) Liner loss
dh(2) Local loss
DH Total loss
Total heal (DH+GH) / pipe
Accumulative Pressure
Project :Zanitty Example
V Mean Velocity
COLBROOK Formula
GH Static heal
(1)
Total local factors
Head loss calculation using
1/1
m
m/s
1/1
1/1
m
m
m
m
m
m
6.8
3
40
pvc
34
2
0.01
40
2.52
A-B
40
pvc
34
2
0.01
30
1.89
B-C
40
pvc
34
2
0.01
20
1.26
C-D
32
pvc
27.2
2
0.01
15
0.95
D-E
32
pvc
27.2
2
0.01
5
0.32
E-F
20
pvc
17
2
0.01
2.5
0.16
TOTAL
12
1
1 3
1
1.0 discharge outlet
2
2.77557 94369.519 0.01961 22.6 0.45
2.67
3.12 6.12 6.123
6
2
3.6
2.08168 70777.139 0.02057 13.4 0.27
0.8
1.06 1.06 7.185
3
2.7
1.38779
47184.76 0.02214 6.39 0.13
0.27
0.39 0.39 7.578
1.7
1.62631 44235.712 0.02264 11.2 0.22
0.23
0.45 0.45 8.032
0.5421 14745.237 0.02856 1.57 0.03
1
1
2
2
2
1
13
2.0 Strainer
2
0.5 reducer
2
pumps to A
0.9 tee
l/s
0.3 elbow ( 90 leg.)
GPM
0.2 elbow ( 45 leg.)
mm
2.0 check valve
K Pipe roughness
m
8.0 Globe valve
L Pipe length
mm
0.6 Butterfly valve
ID Pipe Inner diameter
DN
0.2 gate valve
DN Nominal diameter
no.
Q Flow rate
no. part of pipe
Local factors of fittings
1
1
2.4 1
1 1
Static head Outlet pressure total friction loss total dynamic head
1
3.2
0.69389
11796.19 0.03048
3 = = = =
3.00 20.00 5.27 28.27
m m m m
4.4
0.04
0.07 0.07 8.099
0.09
0.08
0.17 0.17 8.266
1.19
4.07
5.27
8.27
IRRIGATION PUMPS Project :Zanitty Example
Page ( 1 )
Head Loss Calculations: The total friction loss Hs Consist of: Hs
Hs1 + Hs2
=
Where:
Hs1 Hs2
…………………………………………………….…… (1) : Friction loss Inside pipes : Friction loss inside fittings
Linear friction loss equation: Hs =
J . L …………………………………… ……………………………………... .... (2)
J = l . V² / ( 2 g D ) ………..…………………………………………………………….. (3) Where:
J L l V g D
: linear loss factor : length Of the pipe (m.) : friction loss factor (COLBROOK-WHITE formula) : velocity of water (m/s) : gravity acceleration (9.81 m/s²) : pipe inside diameter (m.)
COLBROOK WHITE formula:……………………………………………………………….. ( 4 ) 1 sqr(l)
k
= - 2 x log [
Where:
K D RE
3.7 x D
+
2.51 Re x sqr( l )
: pipe inside Surface roughness (m.) : pipe inside diameter (m.) : REYNOLD’S no. is given as follows: (1/1)
RE = V x D / n …………………………………………………………………………. ( 5 ) Where:
V = Q/A
n V D
: water viscosity= ( n = 1E-06 : velocity of water (m/s) : pipe inside diameter (m.)
m2/s)
………………………………………...………………………………………. ( 6 )
Where:
Q A
Data for the first pipe :
: flow rate (m³/s) : cross section are of the pipe (m²) 40 pvc 40 mm 3 mm
D = K =
0.034 m 1E-05 m
Pipe type & size 40 Out side diameter (mm) Wall thickness (mm) : pipe inside diameter (m.) : pipe inside Surface roughness (m.)
)
Project :Zanitty Example
Flow :
Page ( 2 )
Q = 40.0 GPM = 02.52 l/s = 0.00252 2 A = px D /4 =
V = Q/A = Re = V x D / n = 1 sqr(l)
m³/sec
3.14 x 0.034 ² / 4 = 0.00091 m²
2.776 m/s 2.776 x 0.034 / 0.000001 = 94369.52 0.00001 3.7 x 0.034
= - 2 log [
+
2.51 x sqr( l ) 94369.5
]
By solving above equation : l=
0.01961 0.01961 x 2.7756 x 2.776 2 x 9.81 x 0.034
J = l . V² / ( 2 g D ) = Loss m per 100 m = J x 100 =
0.22649 x 100 m = 22.649
= 0.22649 m/m m / 100m
Pipe length L = 2.0 m dh(1) Liner loss = J x L = 0.22649 x 2.0 = 0.453 m Local losses equation is given as follows: HS2
=
SUM ZE . V ² / ( 2 . G ) …..…………………………………………………….. (7) : Gravity acceleration (9.81 m/s²) : Velocity of water (m/s) : Sum of local loss factors
Where:
G V SUM ZE
SUM ZE =
gate valve Butterfly valve Globe valve check valve elbow ( 45 leg.) elbow ( 90 leg.) tee reducer Strainer discharge outlet Total local factors
HS2
SUM ZE . V ² / ( 2 . g )
=
HS(2) = SUM ZE.x V² / ( 2 g ) =
2 0 0 1 0 2 2 0 1 0
6.8 x
x x x x x x x x x x
0.2 0.6 8 2 0.2 0.3 0.9 0.5 2 1 =
= = = = = = = = = =
2.7756 X 2.7756 2 x 9.81
0.4 0 0 2 0 0.6 1.8 0 2 0 6.80
= 2.67 m
DH Total loss = HS1 + HS2 = 0.453 + 2.67 = 3.123 m Total heal (DH+GH) / pipe
= Static head + Friction losses ………………………. ( 8 ) = 3.0 + 3.123 = 6.123 m
Project :Zanitty Example
Page ( 3 )
Data for the second pipe :
40 pvc 40 mm 3 mm
D = K = Flow :
Pipe type & size 40 Out side diameter (mm) Wall thickness (mm)
2.082 m/s 2.082 x 0.034 / 0.000001 = 70777.14 0.00001 3.7 x 0.034
= - 2 log [
By solving above equation :
l=
+
2.51 x sqr( l ) 70777.1
0.02057
0.02057 x 2.0817 x 2.082 2 x 9.81 x 0.034
J = l . V² / ( 2 g D ) = Loss m per 100 m = J x 100 =
]
0.13359 x 100 m = 13.359
= 0.13359 m/m m / 100m
Pipe length L = 2.0 m dh(1) Liner loss = J x L = 0.13359 x 2.0 = 0.267 m Local losses equation is given as follows: HS2
=
SUM ZE . V ² / ( 2 . G )
SUM ZE =
gate valve Butterfly valve Globe valve check valve elbow ( 45 leg.) elbow ( 90 leg.) tee reducer Strainer discharge outlet Total local factors
HS2
SUM ZE . V ² / ( 2 . g )
=
HS(2) = SUM ZE.x V² / ( 2 g ) =
0 0 0 0 0 6 2 0 0 0
3.6 x
x x x x x x x x x x
0.2 0.6 8 2 0.2 0.3 0.9 0.5 2 1 =
= = = = = = = = = =
2.0817 X 2.0817 2 x 9.81
0 0 0 0 0 1.8 1.8 0 0 0 3.60
= 0.7951 m
DH Total loss = HS1 + HS2 = 0.267 + 0.795 = 1.062 m Total heal (DH+GH) / pipe
= Static head + Friction losses = 0.0 + 1.062 = 1.062 m
Total Head for pipe 1 & 2 = 6.123 + 1.062 = 7.185 m Other pipes are calculated same as above, All data and results are arranged in the following table :
