Domestic Water Booster Pump Calculations

7/27/2019 Domestic Water Booster Pump Calculations

1/25

Project :Zanitty Example

HYDRAULIC CALCULATION

FOR

DOMESTIC WATER BOOSTERPUMP

( 1 ) WATER DEMAND

( 2 ) TOTAL DYNAMIC HEAD

SUPPLIER

LAMAH EST.P.O. BOX : 4814 RIYADH 11412 KSA

TEL: 4788650 FAX : 4769138


2/25



FOR

IRRIGATION PUMPS( TOTAL DYNAMIC HEAD )

SUPPLIER


TEL: 4788650 FAX : 4769138


3/25



FOR

FIRE PUMPS( TOTAL DYNAMIC HEAD )

SUPPLIER


TEL: 4788650 FAX : 4769138


4/25


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


5/25


Table of total fixtures

Fixture type : PRIVATE

Kitchen sink

Shower

3rd F 5th FB1

Service sink

Bath tub

6th F 9t8th F

Urinal (flush tank)

FIXTURES / POINT NO.

Water Bidet

Water closet (flush tank)

7th FG.F. 2nd.F 4th F.

Ablution (Public)

Urinal (1" flush valve)

Urinal (3/4" flush valve)

F.F

Laundry

Water closet (flush valve)

Dishwashing machine

Hose for W.C

Lavatory (& H.B.)

Janitor Sink


6/25


DOMESTIC WATER TRANSFER PUPM DEMAND

TOTAL DOMESTIC WATER DEMAND CALCULATION Fixtures type : PRIVATE

Cold Hot Total Cold Hot Total

6 6

3 30.75 0.75 1

0.75 0.75 1

0.75 0.75 1

Janitor Sink 0.75 0.75 1

1.5 1.5 2

1.5 1.5 2

1.5 1.5 2

1.5 1.5 2

1 1

1.5 1.5 2

1 1 1.5

10 10

5 5

3 3

Assuming Peak factor : 1.8Duration : 60 min

The mean demand gpm (mean demand = peak demand / peak factor )Overhead tank size gallon ( Overhead tank size = (peak demand - mean demand) x duration }

m3

Transfer pump capacity gpm ( Transfer pump capacity = mean demand , Assuming one pumpm /h running & one standby)

l/s

WATER DEMAND ( m3/ h )

FIXTURES

Urinal (3/4" flush valve)

Urinal (flush tank)

Shower

Bath tub

Weight in Fixture units

Kitchen sink

Water closet (flush valve)

Water closet (flush tank)Water Bidet

Hose for W.C

Lavatory (& H.B.)

Service sink

Total Fixture Units

WATER DEMAND ( GPM )

Dishwashing machine

Laundry

Ablution (Public)

Urinal (1" flush valve)

Total weight in fixture unitsQuantity


7/25


POTABLE WA TER PUMPS

Flow rate through the piping sy stem to the farthest point

cold

hot

Total

Add

T.Fix.

Totalf.u

Add

T.Fix.

Totalf.u

Add

T.Fix.

Totalf.u

Add

T.Fix.

Totalf.u

Add

T.Fix.

Water closet (flush valve) 6 6

Water closet (flush tank) 3 3

Water Bidet0.75

0.75

1

Hose for W.C0.75

0.75

1

Lavatory (& H.B.)0.75

0.75

1

Janitor Sink0.75

0.75

1

Service sink1.5

1.5 2

Shower1.5

1.5 2

Bath tub 1.5

1.

5

2

Kitchen sink1.5

1.5 2

Dishwashing machine 1 1

Laundry1.5

1.5 2

Ablution (Public) 1 11.5

Urinal (1" flush valve) 10

10

Urinal (3/4" flush valve)5 5

Urinal (flush tank) 3 3

SUM Total f.u.

Flow rate ( gpm )

FIXTURES / POINT NO.

PRIVATE

Load

Total

H-II-J

Total Total Total

F-GG-H E-F

Total


8/25


Head loss calculation using ( 1 ) COLBROOK Formula ForDOMESTIC WATER BOOSTER

no. mm m mm GPM l/s0.21.01.02.00.30.30.90.52.01.0 1/1 m m/s 1/1

PUMP TO A 300 PVC 267 10 0.01 400 25.2 3 1 1 1 1 1 6.9 10 0.44873 119991

A TO B 300 PVC 267 83 0.01 400 25.2 1 0.9 0.44873 119991

B TO C 350 PVC 302 879 0.01 350 22.1 8 1 2.9 0.30701 92840.3

C TO D 250 PVC 213 195 0.01 100 6.3 2 1 1.1 0.17714 37694.5

D TO E 200 PVC 170 322 0.01 100 6.3 3 1 1 3.4 0.27691 47129.3

E TO F 150 PVC 136 47 0.01 50 3.15 2 1 1.1 0.21621 29447

F TO G 63 PVC 53.6 32 0.01 50 3.15 1 1 1 1.8 30 1.39602 74826.5

TOTAL 1,568 3 1 1 1 1 16 1 5 2 1 18.1 40 3.27074 521920

Static head = 40

Outlet pressure 35 PSI = 5

total friction loss = 2

total dynamic head = 47

Add 30 % safety = 61

reducer

gatevalve

no.partofpipe

DN

Nominaldiameter

Footvalve

ID

PipeInnerdiameter

L

Pipelength

K

Piperoughness

Q

Flow

rate

Multimediafilter

Strainer

dischargeoutlet

V

MeanVelocity

RE

Reynoldsnumber

Totallocalfactors

DN

checkvalve

GH

Statichead

Local factors of fittings

elbow

(45leg.)

elbow

(90leg.)

tee


9/25

DOMESTIC WATER BOOSTER

Project :Zanitty Example 0

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)

Re x sqr( l ))

2.51= - 2 x log [ +

k

3.7 x D


10/25

Data for the First pipe : 300 PVC Pipe type & size 300

315 mm Out side diameter (mm)

23.8 mm Wall thickness (mm)

D = 0.2674 m : pipe inside diameter (m.)

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

Flow : Q = 400.0 GPM = 25.2 l/s = 0.0252 m/sec

A = p x D2

/ 4 = 3.14 x 0.267 / 4 = 0.05616 m

V = Q / A = 0.449 m/s

Re = V x D / n = 0.449 x 0.2674 / 0.000001 = 119991.16

1

sqr(l) x sqr( l )

By solving above equation :

l = 0.01754

Loss m per 100 m = J x 100 = 0.00067 x 100 m = 0.067 m / 100m

Pipe length L = 10.0 m

dh(1) Liner loss = J x L = 0.00067 x 10.0 = 0.007 m

2.51

3.7 x 0.267 119991.2= - 2 log [

2 x 9.81 x 0.2674

]

= 0.00067 m/m

0.00001+

J = l . V / ( 2 g D ) =0.01754 x 0.4487 x 0.449


11/25

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 3 x 0.2 = 0.6

Multimedia filter 1 x 1 = 1

Foot valve 1 x 1 = 1

check valve 1 x 2 = 2

elbow ( 45 leg.) 1 x 0.3 = 0.3

elbow ( 90 leg.) 0 x 0.3 = 0

tee 0 x 0.9 = 0

reducer 0 x 0.5 = 0

Strainer 1 x 2 = 2discharge outlet 0 x 1 = 0

Total local factors =

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

DH Total loss = HS1 + HS2 = 0.007 + 0.071 = 0.078 m

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

= 10.0 + 0.078 = 10.078 m

= 0.0708 m

6.90

HS(2) = SUM ZE.x V / ( 2 g ) = 6.9 x0.4487 X 0.4487

2 x 9.81


12/25

Data for the Second pipe : 300 PVC Pipe type & size =f_loss!B11





Flow : Q = 400.0 GPM = 25.2 l/s = 0.0252 m/sec

A = p x D2

/ 4 = 3.14 x 0.267 / 4 = 0.05616 m

V = Q / A = 0.177 m/s

Re = V x D / n = .177 x 0.2674 / 0.000001 = 37694.59

1sqr(l) x sqr( l )

By solving above equation : l =




0.02241

2 x 9.81 x 0.2674

0.02241 x 0.1771 x 0.177

37694.6= - 2 log [ 0.00001 + 2.51

3.7 x 0.267]

= 0.00017 m/mJ = l . V / ( 2 g D ) =


13/25


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

SUM ZE = gate valve 0 x 0.2 = 0Multimedia filter 0 x 1 = 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 )


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

= 0.0 + 0.035 = 0.035 m

2 x 9.81= 0.0018 m

0.90

HS(2) = SUM ZE.x V / ( 2 g ) = 0.9 x0.1771 X 0.1771


14/25

Data for the Third pipe : 350 PVC Pipe type & size



D = 0.3024 m : pipe inside diameter (m.)K = 0.00001 m : pipe inside Surface roughness (m.)

Flow : Q = 350.0 GPM = 22.05 l/s = 0.02205 m/sec

A = x D2

/ 4 = 3.14 x 0.302 / 4 = 0.07182 m

V = Q / A = 0.307 m/s

Re = V x D / n = .307 x 0.3024 / 0.3 = 92840.38

1sqr(l) x sqr( l )

By solving above equation : l =





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

SUM ZE = gate valve 0 x 0.2 = 0Multimedia filter 0 x 1 = 0Foot valve 0 x 1 = 0check valve 0 x 2 = 0elbow ( 45 leg.) 0 x 0.3 = 0elbow ( 90 leg.) 8 x 0.3 = 2.4tee 0 x 0.9 = 0reducer 1 x 0.5 = 0.5Strainer 0 x 2 = 0discharge outlet 0 x 1 = 0

0 =

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

= HS1 + HS2 = 0.257 + 0.014 = 0.271 m

= Static head + Friction losses

= 0.0 + 0.271 = 0.271 m

2.90

2 x 9.81 x 0.3024

2 x 9.81

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

]2.51

+0.00001

= - 2 log [47129.33.7 x 0.302

HS(2) = SUM ZE.x V / ( 2 g ) = = 0.0 m0.307 X 0.307

2.9 x

= 0.0 m/m0.01844 x 0.307 x 0.307

0.01844


15/25

Data for the Fourth pipe : 250 PVC Pipe type & size 250




Flow : Q = 100.0 GPM = 06.3 l/s = 0.0063 m/sec

A = p x D2

/ 4 = 3.14 x 0.213 / 4 = 0.03556 m

V = Q / A = 0.177 m/s

Re = V x D / n = .177 x 0.2128 / = 92840.38

1sqr(l) x sqr( l )


l = 0.02241




0.00001 + 2.51

J = l . V / ( 2 g D ) =0.02241 x 0.1771 x 0.177

= 0.0 m/m2 x 9.81 x 0.2128

]3.7 x 0.213 0.0

= - 2 log [


16/25


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



SUM ZE = gate valve 0 x 0.2 = 0




elbow ( 45 leg.) 0 x 0.3 = 0

elbow ( 90 leg.) 2 x 0.3 = 0.6

tee 0 x 0.9 = 0

reducer 1 x 0.5 = 0.5



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

= HS1 + HS2 = 0.033 + 0.002 = 0.035 m

= Static head + Friction losses . ( 8 )

= 0.0 + 0.035 = 0.035 m

HS(2) = SUM ZE.x V / ( 2 g ) = 1.1 x0.1771 X 0.1771

= 0.0018 m2 x 9.81

1.10


17/25

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





Flow : Q = 100.0 GPM = 06.3 l/s = 0.0063 m/sec

A = p x D2

/ 4 = 3.14 x 0.17 / 4 = 0.02275 m

V = Q / A = 0.277 m/s

Re = V x D / n = 0.277 x 0.1702 / = 47129.31

1

sqr(l) x sqr( l )


l = 0.02137




0.00001+

2.51

J = l . V / ( 2 g D ) =0.02137 x 0.2769 x 0.277

= 0.00049 m/m2 x 9.81 x 0.1702

]3.7 x 0.17 47129.3

= - 2 log [


18/25


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



SUM ZE = gate valve 0 x 0.2 = 0




elbow ( 45 leg.) 0 x 0.3 = 0

elbow ( 90 leg.) 3 x 0.3 = 0.9

tee 0 x 0.9 = 0

reducer 1 x 0.5 = 0.5



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

= HS1 + HS2 = 0.158 + 0.013 = 0.171 m


= 0.0 + 0.171 = 0.171 m

3.40

HS(2) = SUM ZE.x V / ( 2 g ) = 3.4 x0.2769 X 0.2769

= 0.0133 m2 x 9.81


19/25

Data for the Sexth pipe : 150 PVC Pipe type & size 150160 mm Out side diameter (mm)



Flow : Q = 50.0 GPM = 03.15 l/s = 0.00315 m/sec

A = x D2

/ 4 = 3.14 x 0.136 / 4 = 0.01457 m

V = Q / A = 0.216 m/s

Re = V x D / n = 0.216 x 0.1362 / = 29447.17

1sqr(l) x sqr( l )


l = 0.02377




]3.7 x 0.136 0.0

J = l . V / ( 2 g D ) =0.02377 x 0.2162 x 0.216

= 0.0 m/m2 x 9.81 x 0.1362

+2.51

= - 2 log [0.00001


20/25


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 1 = 00 0 x 1 = 00 0 x 2 = 00 0 x 0.3 = 00 2 x 0.3 = 0.60 0 x 0.9 = 00 1 x 0.5 = 0.50 0 x 2 = 00 0 x 1 = 00 =

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

= HS1 + HS2 = 0.02 + 0.003 = 0.022 m


= 0.0 + 0.022 = 0.022 m

1.10

HS(2) = SUM ZE.x V / ( 2 g ) = 1.1 x0.2162 X 0.2162

= 0.0026 m2 x 9.81


21/25

Data for the Seventh pipe : 63 PVC Pipe type & size 6363 mm Out side diameter (mm)




Flow : Q = 50.0 GPM = 03.15 l/s = 0.00315 m/sec

A = x D2

/ 4 = 3.14 x 0.054 / 4 = 0.00226 m

V = Q / A = 1.396 m/s

Re = V x D / n = 1.396 x 0.0536 / = 74826.58

1sqr(l) x sqr( l )


l = 0.01993





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



SUM ZE = 0 0 x 0.2 = 00 0 x 1 = 00 0 x 1 = 00 0 x 2 = 00 0 x 0.3 = 00 1 x 0.3 = 0.30 0 x 0.9 = 00 1 x 0.5 = 0.50 0 x 2 = 00 1 x 1 = 1

0 =

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

= HS1 + HS2 = 1.182 + 0.179 = 1.361 m


= 30.0 + 1.361 = 31.361 m

1.80

HS(2) = SUM ZE.x V / ( 2 g ) = 1.8 x1.396 X 1.396

= 0.1788 m2 x 9.81

J = l . V / ( 2 g D ) =0.01993 x 1.396 x 1.396

= 0.0 m/m2 x 9.81 x 0.0536

= - 2 log [0.00001

+2.51

]3.7 x 0.054 0.0


22/25

IRRIGATION PUMPS

Head loss calculation using ( 1 ) COLBROOK Formula Project :Z

no. mm m mm GPM l/s0.20.68.02.00.20.30.90.52.01.0 1/1 m m/s 1/1

pumps to A 40 pvc 34 2 0.01 40 2.52 2 1 2 2 1 6.8 3 2.77557 94369.5

A-B 40 pvc 34 2 0.01 30 1.89 6 2 3.6 2.08168 70777.1

B-C 40 pvc 34 2 0.01 20 1.26 3 2.7 1.38779 47184

C-D 32 pvc 27.2 2 0.01 15 0.95 1 1 1 1.7 1.62631 44235.7

D-E 32 pvc 27.2 2 0.01 5 0.32 2 2 2.4 0.5421 14745.2

E-F 20 pvc 17 2 0.01 2.5 0.16 1 2 1 1 1 3.2 0.69389 11796

TOTAL 12 3 1 13 1 1 3

Static head = 3Outlet pressure = 20

total friction loss = 5

total dynamic head = 28

DN

che

ckvalve

GH

Staticheal

Glo

bevalve

Local factors of fittings

elbow

(45leg.)

elbow

(90leg.)

Strainer

dischargeoutlet

V

MeanVelocity

RE

Reynoldsnumber

Tot

allocalfactors

tee

red

ucer

gat

evalve

no.partofpipe

DN

Nominaldiameter

Butterflyvalve

ID

PipeInnerdiameter

LP

ipelength

K

Piperoughness

Q

Flow

rate


23/25

IRRIGATION PUMPS

Project :Zanitty Example Page ( 1 )

Head Loss Calculations:

The total friction loss Hs Consist of:

Hs = Hs1 + Hs2 . (1)

Where: Hs1 : Friction loss Inside pipesHs2 : 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.)

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

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

Where: Q : flow rate (m/s)A : cross section are of the pipe (m)

Data for the first pipe : 40 pvc Pipe type & size 40


3 mm Wall thickness (mm)

D = 0.034 m : pipe inside diameter (m.)K = 1E-05 m : pipe inside Surface roughness (m.)

= - 2 x log [ +k

3.7 x D Re x sqr( l ))

2.51


24/25


Flow : Q = 40.0 GPM = 02.52 l/s = 0.00252 m/sec

A = p x D2/ 4 = 3.14 x 0.034 / 4 = 0.00091 m

V = Q / A = 2.776 m/s

Re = V x D / n = 2.776 x 0.034 / 0.000001 = 94369.52

1

sqr(l) x sqr( l )


l = 0.01961





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



SUM ZE = gate valve 2 x 0.2 = 0.4Butterfly valve 0 x 0.6 = 0Globe valve 0 x 8 = 0check valve 1 x 2 = 2elbow ( 45 leg.) 0 x 0.2 = 0elbow ( 90 leg.) 2 x 0.3 = 0.6tee 2 x 0.9 = 1.8reducer 0 x 0.5 = 0Strainer 1 x 2 = 2discharge outlet 0 x 1 = 0Total local factors =

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


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

= 3.0 + 3.123 = 6.123 m

2.7756 X 2.77562 x 9.81

0.01961 x 2.7756 x 2.7762 x 9.81 x 0.034

94369.5]

= 0.22649 m/m

= 2.67 m

6.80

= - 2 log [0.00001

+2.51

3.7 x 0.034

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

HS(2) = SUM ZE.x V / ( 2 g ) = 6.8 x


25/25


Data for the second pipe : 40 pvc Pipe type & size 40


3 mm Wall thickness (mm)


K = 1E-05 m : pipe inside Surface roughness (m.)

Flow : Q = 30.0 GPM = 01.89 l/s = 0.00189 m/sec

A = p x D2/ 4 = 3.14 x 0.034 / 4 = 0.00091 m

V = Q / A = 2.082 m/s

Re = V x D / n = 2.082 x 0.034 / 0.000001 = 70777.14

1

sqr(l) x sqr( l )

By solving above equation : l = 0.02057





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

SUM ZE = gate valve 0 x 0.2 = 0Butterfly valve 0 x 0.6 = 0Globe valve 0 x 8 = 0

check valve 0 x 2 = 0elbow ( 45 leg.) 0 x 0.2 = 0elbow ( 90 leg.) 6 x 0.3 = 1.8tee 2 x 0.9 = 1.8reducer 0 x 0.5 = 0Strainer 0 x 2 = 0discharge outlet 0 x 1 = 0Total local factors =

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


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 :

0.02057 x 2.0817 x 2.082

2 x 9.81 x 0.034

]

= 0.13359 m/m

= 0.7951 m

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

3.60

HS(2) = SUM ZE.x V / ( 2 g ) = 3.6 x2.0817 X 2.0817

2 x 9.81

70777.1= - 2 log [

0.00001+

2.51

3.7 x 0.034

Domestic Water Booster Pump Calculations

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Transcript of Domestic Water Booster Pump Calculations