Sump Pit Calculation 1

HYDRAULIC CALCULATION for PUMPS

By : LAMAH EST.

SUPPLIER

LAMAH EST. P.O. BOX : 4814 RIYADH 11412 KSA TEL: 4788650 FAX : 4769138

0 Table of Fixtures FIXTURES / POINT NO. Water closet (flush tank)

Fixture type : private / public Main villa Basement 1

Main villa G.F. Main villa F.F. 2

7

Main villa Roof

Annexes

Total Fixtures

1

4

15

Water Bidet

0

Hose for W.C

1

2

7

1

4

15

Lavatory

4

10

6

1

4

25

Shower

3

4

1

4

12

Bath tub Kitchen sink

5 1

2

5

1

2

Dishwashing machine Laundry Ablution

6 0

1

1 0

TOTAL DEMAND CALCULATION

0

Floor

Fixture unit Demand FIXTURES

Public

Total

Quantity

Private

Hot

Total

Cold

Hot

Total

5

0

5

3

0

3

20

Water Bidet

1.5

1.5

2

0.75

0.75

1

20

Hose for W.C

1.5

1.5

2

0.75

0.75

1

0

Lavatory

1.5

1.5

2

0.75

0.75

1

Shower

3

3

4

1.5

1.5

Bath tub

3

3

4

1.5

1.5

Kitchen sink

3

3

4

1.5

1

1

Dishwashing machine

Public

Cold

Cold Water closet (flush tank)

PART (ALL)

PUMPS

Private

Public

Hot

Total

Private

Public

Private

Public

Private

60

0

0

0

60

0

15

0

15

0

20

67

0

50.25

0

50.25

0

67

0

82

0

61.5

0

61.5

0

82

2

0

10

0

15

0

15

0

20

2

0

17

0

25.5

0

25.5

0

34

1.5

2

0

28

0

42

0

42

0

56

1

1

0

6

0

0

0

6

0

6

120

0

120

0

160 100

Laundry

3

3

4

1.5

1.5

2

0

80

0

Ablution

1

1

1.5

0.75

0.75

1

0

100

0

75

0

75

0

0

464.25

0

410.25

0

Total Fixture Units Total Fixture Units

464.25

410.25

605 605

WATER DEMAND ( GPM )

143.9

WATER DEMAND ( m3/ h )

32.67

Pump selection for potable water and fire system : GRUNDFOS 2 CR8-50 with 200 L Pressure tank Flexcon / USA.

LOCATION : MAIN HOSPITAL

EAST RIYADH-500 BED HOSPITAL

HEAD LOSS CALCULATION ( COLBROOK formula )

PUMP HEAD CALCULATION FOR SUMP PIT NO. 1

3.15

TOTAL

11

PUMP SELECTION : 50 GPM @ 12 MTRS HEAD EACH PUMP 1 DUTY & 1 STANDBY

m/s

1/1

1/1

m

m

m

4

5

3

1

1

0

4

0.9

0

1

1

0

Static head total friction loss total dynamic head

Accumulative Pressure

50

m

Total heal (DH+GH) / pipe

0.01

1/1

DH Total loss

8.5

dh(2) Local loss

93.6

dh(1) Liner loss

pvc

1

Loss m per 100 m

110

1

F Liner loss factor

B-C

1

RE Reynolds number

3.15

V Mean Velocity

50

GH Static heal

0.01

Total local factors

2.5

Strainer

53.6

2

pvc

discharge outlet

1

63

1

1

A-B

0.5 reducer

l/s

0.9 tee

GPM

0.3 elbow ( 90 leg.)

mm


K Pipe roughness

m

check valve

L Pipe length

mm

2

ID Pipe Inner diameter

DN

0.2 gate valve

DN Nominal diameter

no.

Q Flow rate

no. part of pipe

Local factors of fittings

m

m

m

5.49

5.49

1.39602 74826.578 0.019934 3.694 0.092 0.397 0.49

0.45779 42849.408 0.02197 0.251 0.021 0.01 0.031 0.031 0.031

5

0.11 0.407 0.52

= = =

5.00 m 0.52 m 5.52 m 6.07 m 10% Safety Factor

5.52

500

Project :

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

: linear loss factor : length Of the pipe (m.)

l V g D

: 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 3.7 x D

= - 2 x log [

Where:

K D RE

+

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 ) n V D

Where:

V = Q/A

: water viscosity= ( n = 1E-006 : 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) 110 pvc 110 mm 8.2 mm

D = K =

0.0936 m 0.00001 m

Pipe type & size 110 Out side diameter (mm) Wall thickness (mm) : pipe inside diameter (m.) : pipe inside Surface roughness (m.)

)

Project :

0

Flow :

Page ( 2 )

Q = 50.0 GPM = 03.15 l/s = 0.00315 A = p x D2 / 4 = V =Q /A = Re = V x D / n =

1 sqr(l)

m³/sec

3.14 x 0.094 ² / 4 = 0.00688 m²

1.396 m/s 1.396 x 0.0936 / 0.000001 = 74826.58 0.00001

= - 2 log [

2.51

+

3.7 x 0.094

74826.6

x sqr( l )

]

By solving above equation : l=

0.01993 0.01993 x 1.396 x 1.396 2 x 9.81 x 0.0936

J = l . V² / ( 2 g D ) = Loss m per 100 m = J x 100 =

= 0.03694 m/m

0.03694 x 100 m = 3.694

m / 100m

Pipe length L = 2.5 m dh(1) Liner loss = J x L = 0.03694 x 2.5 = 0.092 m Local losses equation is given as follows: HS2

=

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

Where:

G V SUM ZE

SUM ZE =

gate valve check valve elbow ( 45 leg.) elbow ( 90 leg.) tee discharge outlet reducer Strainer Total local factors

HS2

SUM ZE . V ² / ( 2 . g )

=

: Gravity acceleration (9.81 m/s²) : Velocity of water (m/s) : Sum of local loss factors

HS(2) = SUM ZE.x V² / ( 2 g ) =

1 1 0 1 0 1 1 0

4 x

x x x x x x x x

0.2 2 0.2 0.3 0.9 1 0.5 2 =

= = = = = = = =

1.396 X 1.396 2 x 9.81

DH Total loss = HS1 + HS2 = 0.092 + 0.397 = 0.49 m

0.2 2 0 0.3 0 1 0.5 0 4.00

= 0.3973 m


= Static head + Friction losses ………………………. ( 8 ) = 5.0 + 0.49 = 5.49 m

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

SUM Total f.u. 16

32

48

64

80

96

112

128

144

160

176

192

Flow rate ( gpm ) 12

21

28

33

38

43

46

50

53

57

60

63

2

Dishwashing machine 1

Laundry 2 1

Ablution 1 1

24

12

12

12

12

1

11

11

1

24

12

1

22

11

1

20

10

24

12

1

22

11

1

20

10

1

18

9

1

24

12

1

22

11

1

20

10

1

18

9

1

16

8

12

12

1

11

11

1

10

10

1

9

9

1

8

8

1

12

12

1

11

11

1

10

10

1

9

9

1

8

8

1

7

7

12

12

1

11

11

1

10

10

1

9

9

1

8

8

1

7

7

1

6

6

1

36

12

1

33

11

1

30

10

1

27

9

1

24

8

1

21

7

1

18

6

1

15

5

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.

Add

Total f.u

T.Fix.

Add

Total f.u

T.Fix.

Add

Total f.u

T.Fix.

Add

A-B

12

1

1

11

11

22

1

1

10

10

1

18

9

1

16

8

1

7

7

1

6

6

1

5

5

1

T.Fix. Total f.u

B-C

11

20

10

10

1

9

9

1

16

8

1

14

7

1

6

6

1

5

5

1

12

4

Add

Total f.u

T.Fix.

Add

C-D

10

1

1

9

9

18

1

1

8

8

1

14

7

1

12

6

1

5

5

1

4

4

1

9

3

1

Total f.u

D-E

9

16

8

8

1

14

7

1

12

6

1

10

5

1

4

4

1

3

3

1

6

T.Fix.

Add

E-F

8

1

1

7

7

1

12

6

1

10

5

1

4

4

1

3

3

1

2

T.Fix. Total f.u

F-G

14

7

7

1

6

6

1

10

5

1

8

4

1

3

3

1

2

2

1

3

1

PUMPS

7

1

1

6

6

12

1

1

5

5

1

8

4

1

6

3

1

2

2

1

1

1

G-H

6

10

5

5

1

8

4

1

6

3

1

4

2

1

1

1

H-I

5

1

1

4

4

1

6

3

1

4

2

1

1

1

I-J

8

4

4

1

3

3

1

4

2

1

2

1

Flow rate through the piping system to the farthest point /

4

1

1

3

3 6

1

1

2

2

1

2

1

J-K

3

4

2

1

2

1

Add K-L

2

1

1

1

1

Table of fixtures

2

2

Kitchen sink

2

2

1

Bath tub

1

2

2

Shower

1

1 1

Lavatory 1

1

1

Hose for W.C

1

3

1

Water closet (flush tank)

1

1

1

FIXTURES / POINT NO.

1

Water Bidet

1

fu

: private / public

0 Err:509

Fixture type : : private / public Pumps to A

DN Nominal diameter

ID Pipe Inner diameter L Pipe length K Pipe roughness

no. DN mm m mm

Suction

TOTAL 40 PVC 0.01 55 3.465 2 2 6 6

2 2 6 6 0 0

discharge outlet 0

Strainer Total local factors GH Static heal

V Mean Velocity

RE Reynolds number

l 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


2

0.5 reducer

1

0.9 tee

l/s check valve 0.3 elbow ( 90 leg.)

80 0.2 elbow ( 45 leg.)

34 2

GPM

0.2 gate valve

80 Q Flow rate

no. part of pipe

Err:509

HEAD LOSS CALCULATION ( COLBROOK formula ) 0

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

7.4 6

0

outlet pressure total static head total friction loss total dynamic head

3.81641 129758.09 0.0187 40.83 32.66 5.493 38.16 44.16 44.16

6 32.66 5.493 38.16

= = =

=

6.00 38.16 44.16 ( Including suction head )

44.16

Total sewage flow rate FIXTURES

Water closet (flush tank/valve) Arabic W.C.(flush tank) Water Bidet Lavatory Shower Bath tub Kitchen sink Dishwashing machine Laundry Urinal ( flush tank ) Urinal ( flush valve ) Floor drain Total flow l/s Estimated flow l/s (from chart)

Demand l/s

Quantity

Total

1.5 2.0 0.4 0.4 0.7 0.8 1.0 0.4 0.7 0.7 1.0 0.5

10

15.00 0.00 4.00 4.00 5.60 0.00 4.00 0.00 2.80 0.00 0.00 2.00 0.00 37.40 7.65 27.54 121.3

10 10 8 4 4

4 l/s l/s m3/h gpm

Err:509 HEAD LOSS CALCULATION ( COLBROOK formula )

0

Strainer

Total local factors

GH Static heal

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


Accumulative Pressure

1/1

m

m/s

1/1

1/1

m

m

m

m

m

m

1

1

6.2

1

1.7

0.00432

588.9434 0.075851 ###

###

###

###

###

3

1

3.1

0.00432

588.9434 0.075851 ###

###

###

###

###

3

1

1.2

0.00432

588.9434 0.075851 ###

###

###

###

###

3

1.4

0.00916 856.98816 0.065908

0

0

###

0

0

3

1

0.9

0.00916 856.98816 0.065908

0

###

###

0

0

3

0.063

1

0.9

0.00916 856.98816 0.065908

0

###

###

###

###

3

1

0.063

1

0.9

0.00916 856.98816 0.065908

0

0

###

0

0

3

0.01

1

0.063

2

1.8

0.00916 856.98816 0.065908

0

0

###

0

0

3

101.5

0.01

1

0.063

4

3.6

0.00916 856.98816 0.065908

0

0

###

0

0

3

PVC 93.6

138.5

0.01

1

0.063

2

1.8

0.00916 856.98816 0.065908

0

0

###

0

0

3

50

PVC 42.6

195.5

0.01

1

0.063

1

1

1.2

32

PVC 27.2

15

0.01

1

0.063 1

4

1

0.2 gate valve

2

154.1

5

0.1

1

0.063 1

1

20

0.01

1

0.063 1

l/s

6"

pumps to A

160

PVC 136.2

A-B

160

PVC 136.2 122.5

0.01

1

0.063 1

B-C

160

PVC 136.2

57.5

0.01

1

0.063

C-D

110

PVC 93.6

82

0.01

1

0.063

1

D-E

110

PVC 93.6

32.5

0.01

1

0.063

E-F

110

PVC 93.6

8.5

0.01

1

F-G

110

PVC 93.6

48

0.01

G-H

110

PVC 93.6

42.5

H-I

110

PVC 93.6

I-J

110

J-K K-L

869

1 1

4

2

1

2

check valve

1

Q Flow rate

2

GI

gpm

Suction

TOTAL

2

mm

discharge outlet

K Pipe roughness

m

0.5 reducer

L Pipe length

mm

0.9 tee

ID Pipe Inner diameter

DN


DN Nominal diameter

no.


no. part of pipe


1

1

1

0 10 18 1

3

3

outlet pressure total static head total friction loss total dynamic head

###

###

###

3

3

0.0442 1882.9599 0.050368 0.012 0.023

3.8 1

0.00338 520.60028 0.079956 ###

0

0.023 0.023 3.025

0.10842 2949.0475 0.043884 0.097 0.014 0.002 0.017 0.017 3.041 3

0.039 0.002 0.041

= = = =

0.00 3.00 0.04 3.04

( Including suction head )

3.04

DN Nominal diameter

ID Pipe Inner diameter L Pipe length K Pipe roughness

no. DN mm m mm

pumps to manhole

TOTAL 75 PVC 63.8 40 0.01 38 2.394 1 1

1 1

1

4 1 1

4 1 1 0

Strainer Total local factors GH Static heal

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


2

0.5 reducer

discharge outlet

0.9 tee

0



l/s check valve

2

GPM 0.2 gate valve

40 Q Flow rate

no. part of pipe

HEAD LOSS CALCULATION ( COLBROOK formula )

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

5.3 6

0 6

0.74885 47776.418 0.021635 0.969 0.388 0.151 0.539 6.53916591 0.388 0.151 0.539 6.54

Total sewage flow rate FIXTURES

Water closet (flush tank) Water closet (flush valve) Arabic W.C.(flush tank) Arabic W.C.(flush valve) Water Bidet Lavatory Shower Bath tub Kitchen sink ( H < 13 cm ) Kitchen sink ( H > 13 cm ) Dishwashing machine Laundry Urinal ( single tap ) Urinal ( flush tank ) Urinal ( flush valve ) Floor drain ( size 40 mm ) Floor drain ( size 50 mm ) Total primary flow l/s Estimated flow l/s (from chart)

DIWANIA : SUMP PUMP NO. 2

Demand l/s

Quantity

Total

1.5 1.5 2.0 2.0 0.4 0.4 0.7 0.8 0.7 1.0 0.4 0.7 2.0 0.7 1.0 0.5 0.8

3

4.50 0.00 0.00 0.00 1.20 1.20 2.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3.50 0.00 12.50 4.38 15.75 69.4

3 3 3

7 l/s l/s m3/h gpm

Project :

Calculating the Pressure Tank Size Pressure Tank Size Formula is given as follows :

size = (

Drawdown volume cut-out pressure - cut-in pressure cut-out pressure + 1

)

Drawdown is based on pump capacity and the number of start/stops per hour and amount of water which can be taken from the tank before the pump starts.

250 x Q I

Drawdown in liters =

250 x Q x (cut-out pressure + 1) I x ( cut-out pressure - cut-in pressure ) )

Tank size in liters = (

Where : Q is the average pump flow in m3/h I is the number of starts/stops per hour. cut in & cut out : pressure is indicated in bars. Data :

Pump type & model :

GRUNDFOS MODEL : CR8-40

Motor power rating

P=

15

kw

Number of starts/stops

I =

20

1/h

Average pump flow cut in pressure cut out pressure

Q= = =

34 9 11.5

m3/h bar bar

Tank size in liters =

(

( from pump manufacturer )

250 x 34. x ( 11.5 + 1 ) ) 20. x ( 11.5 - 9. )

=

2125

liters

The available standard size is :

3000

liters

Recommended tank size is :

3000

liters

Note : The standard sizes of pressure tanks are : 25; 60; 100; 200; 300; 500; 750; 1000 and 2000 liters.

Sump Pit Calculation 1

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