Chilled Water Pump Head Calculation-port-214f

7/27/2019 Chilled Water Pump Head Calculation-port-214f

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HYDRAULIC CALCULATION

FOR

CHILLED W ATER PUMPS

TOTAL DYNAMIC HEAD


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Head loss calculation using ( 1 ) COLBROOK Formula For CHILLED WATER PUMPS

no. mm m mm GPM l/s 0 . 2

0 . 2

8 . 0

2 . 0

0 . 2

0 . 3

0 . 9

0 . 5

2 . 0

1 . 0 1/1 m m/s 1

A - B 6" GI 154 2 0.1 680 42.8 1 1 1 1 1 5.4 2.29756 35400B - C 8" GI 203 22 0.1 1360 85.7 4 1 2.1 2.65406 53808

C - D 6" GI 154 8 0.1 679 42.8 5 1.5 2.29418 35348D - E 8" GI 203 42 0.1 756.23 47.6 4 1 2.1 1.47579 29920E - F 6" GI 154 32 0.1 491.41 31 2 1 1.5 1.66036 25582F - G 4" GI 102 20 0.1 293.96 18.5 2 2 2.4 2.2549 230G - H 2 1/2" GI 62.7 13 0.1 99.22 6.25 1 4 3.9 2.02578 12697H - I 2" GI 52.5 20 0.1 77.18 4.86 4 3.6 2.24785 11796I - J 1 1/2" GI 40.9 16 0.1 44.58 2.81 4 3.6 2.13351 87345

J - K 1 1/4" GI 35.1 17 0.1 25.04 1.58 3 1 1.8 1.63217 57256K - FCU 3/4" GI 21 19 0.1 5.5 0.35 1 3 1 1 1 12.3 1.00422 21048

TOTAL 211 1 1 1 25 20 1 2

Pressure drop in chiller =

Pressure drop in FCU =two way valve loss =

total friction loss =

Total dynamic head supply = 33

Total dynamic head return = 21

n o .

p a r t o

f p

i p e

D N N o m

i n a

l d i a m e

t e r

F l e x i

b l e

I D P i p e

I n n e r

d i a m e

t e r

L P i p e

l e n g

t h

K P i p e r o u g

h n e s s

Q

F l o w r a

t e

S t r a

i n e r

d i s c h a r g e o u

t l e t

V

M e a n

V e

l o c i

t y

T o

t a l l o c a

l f a c t o r s

DN

c h e c k v a

l v e

G H

S t a t i c h e a

l

G l o b e v a

l v e

Local factors of fittings

e l b o w

( 4 5 l e g . )

e l b o w

( 9 0 l e g . )

t e e

r e d u c e r

g a

t e v a

l v e


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no. mm m mm GPM l/s 0 . 2

0 . 2

8 . 0

2 . 0

0 . 2

0 . 3

0 . 9

0 . 5

2 . 0

1 . 0 1/1 m m/s 1

n o .

p a r t o

f p

i p e

D N N o m

i n a

l d i a m e

t e r

F l e x i

b l e

I D P i p e

I n n e r

d i a m

e t e r

L P i p e

l e n g

t h

K P i p e r o u g

h n e s s

Q

F l o w r a

t e

S t r a

i n e r

d i s c h a r g e o u

t l e t

V M e a n

V e

l o c i

t y

T o

t a l l o c a

l f a c t o r s

DN

c h e c k v a

l v e

G H

S t a t i c h e a

l

G l o b e v a

l v e

Local factors of fittings

e l b o w

( 4 5 l e g . )

e l b o w

( 9 0 l e g . )

t e e

r e d u c e r

g a

t e v a

l v e

Safty factor 20% =

total dynamic head =


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CHILLED WATER PUMPS

Project : Agriculture Bank - Gizan 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 )

1sqr( 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 m 2/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 : 6" GI Pipe type & size 6"

168.3 mm Out side diameter (mm)7.11 mm Wall thickness (mm)

D = 0.1541 m : pipe inside diameter (m.)K = 0.0001 m : pipe inside Surface roughness (m.)

= - 2 x log [ +k

)2.51

3.7 x D Re x sqr( l )


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Flow : Q = 680.0 GPM = 42.84 l/s = 0.04284 m/sec

A = p x D 2 / 4 = 3.14 x 0.154 / 4 = 0.01865 m

V = Q / A = 2.298 m/s

Re = V x D / n = 2.298 x 0.1541 / 0.000001 = 354008.19

1sqr( l) x sqr( l )

By solving above equation :

l = 0.01882

Loss m per 100 m = J x 100 = 0.03286 x 100 m = 3.286 m / 100m

Pipe length L = 2.0 m

dh(1) Liner loss = J x L = 0.03286 x 2.0 = 0.066 m

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 1 x 0.2 = 0.2Flexible 0 x 0.2 = 0Globe valve 0 x 8 = 0check valve 1 x 2 = 2elbow ( 45 leg.) 0 x 0.2 = 0elbow ( 90 leg.) 1 x 0.3 = 0.3tee 1 x 0.9 = 0.9reducer 0 x 0.5 = 0Strainer 1 x 2 = 2discharge outlet 0 x 1 = 0Total local factors =

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

DH Total loss = HS1 + HS2 = 0.066 + 1.453 = 1.519 m

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

= 0.0 + 1.519 = 1.519 m

= - 2 log [0.0001

+2.51

3.7 x 0.154

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

HS(2) = SUM ZE.x V / ( 2 g ) = 5.4 x 2.2976 X 2.29762 x 9.81

5.40

]

= 0.03286 m/m

= 1.4529 m

0.01882 x 2.2976 x 2.2982 x 9.81 x 0.1541

354008.2


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Data for the second pipe : 8" GI Pipe type & size 8"219.1 mm Out side diameter (mm)

8.18 mm Wall thickness (mm)

D = 0.2027 m : pipe inside diameter (m.)K = 0.0001 m : pipe inside Surface roughness (m.)

Flow : Q = 1360.0 GPM = 85.68 l/s = 0.08568 m/sec

A = p x D 2 / 4 = 3.14 x 0.203 / 4 = 0.03228 m

V = Q / A = 2.654 m/s

Re = V x D / n = 2.654 x 0.2027 / 0.000001 = 538084.07

1sqr( l) x sqr( l )

By solving above equation : l =

Loss m per 100 m = J x 100 = 0.03108 x 100 m = 3.108 m / 100m

Pipe length L = 22.0 m

dh(1) Liner loss = J x L = 0.03108 x 22.0 = 0.684 m

Local losses equation is given as follows:

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

SUM ZE = gate valve 0 x 0.2 = 0Flexible 0 x 0.2 = 0Globe valve 0 x 8 = 0check valve 0 x 2 = 0elbow ( 45 leg.) 0 x 0.2 = 0elbow ( 90 leg.) 4 x 0.3 = 1.2tee 1 x 0.9 = 0.9reducer 0 x 0.5 = 0Strainer 0 x 2 = 0discharge outlet 0 x 1 = 0Total local factors =

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

DH Total loss = HS1 + HS2 = 0.684 + 0.754 = 1.438 m

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

= 0.0 + 1.438 = 1.438 m

Total Head for pipe 1 & 2 = 1.519 + 1.438 = 2.956 m

Other pipes are calculated same as above, All data and results are arranged in the following table :

]

= 0.03108 m/m

= 0.7539 m

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

2.10

HS(2) = SUM ZE.x V / ( 2 g ) = 2.1 x 2.6541 X 2.65412 x 9.81

0.01755

538084.1= - 2 log [

0.01755 x 2.6541 x 2.6542 x 9.81 x 0.2027

3.7 x 0.2030.0001

+2.51

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Chilled Water Pump Head Calculation-port-214f