Reference:  Hydraulics of Pipeline Systems, 2000, CRC Press LLC, Bruce E. Larock, Rowland W. Jeppson, Gary Z. Watters, Page 423, Example problem 12.3.2


Pipe Flow Expert File: Case_12_Water_Nineteen_Pipe_Network.pfe


Problem Description: 

Water is supplied from two reservoirs to a nineteen pipe network. The pipes are connected at twelve node points.

Out flows from the network occur at each node point.


Find the flow rate and head loss for each pipe.

Find the pressure at each node point.


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Fluid Data: Water at 50° F (assumed).


Result Comparison: 


Pipe

Published

Flow (ft³/s)

Pipe Flow Expert (ft³/s)


Pipe

Published 

Head Loss (ft)

Pipe Flow Expert 

Head  Loss (ft)

P 1 

5.30

5.2999


P 1 

24.26

24.28

P 2 

2.17

2.1717


P 2 

10.96

10.96

P 3 

0.41

0.4062


P 3 

  0.60

  0.60

P 4 

2.13

2.1287


P 4 

13.19

13.19

P 5 

5.00

5.0001


P 5 

21.67

21.68

P 6 

1.42

1.4217


P 6 

  9.29

  9.29

P 7

1.97

1.9720


P 7

15.95

15.95

P 8

1.83

1.8349


P 8

12.70

12.71

P 9

2.22

2.2214


P 9

22.89

22.90

P 10

0.55

0.5450


P 10

  4.30

  4.30

P 11

0.50

0.5028


P 11

  2.65

  2.65

P 12

0.43

0.4291


P 12

  3.00

  3.00

P 13

0.87

0.8667


P 13

  7.34

  7.34

P 14

0.93

0.9298


P 14

10.06

10.06

P 15

0.91

0.9112


P 15

11.29

11.30

P 16

1.04

1.0423


P 16

13.32

13.33

P 17

0.33

0.3333


P 17

  1.59

  1.59

P 18

0.40

0.4035


P 18

  1.41

  1.41

P 19

0.24

0.2423


P 19

  0.97

  0.97


Node

Published 

Press. (lb/in²)

Pipe Flow 

Expert (lb/in²)


Node

Published 

Press. (lb/in²)

Pipe Flow 

Expert (lb/in²)

N1  

  n/a

n/a


N8 

69.24

69.2468

N2 

76.15

76.1808


N9 

70.39

70.4121

N3 

71.40

71.4275


N10 

71.69

71.7123

N4 

75.89

75.9223


N11

64.20

64.2159

N5 

81.61

81.6406


N12

64.89

64.9034

N6 

n/a

n/a


N13

65.50

65.5142

N7

67.38

67.3985


N14

65.92

65.9343


Commentary:  

The published data and the calculated results compare well.