Supplementary Material, Appendix 0 - A0.52 | KYPipe

Supplementary Material, Appendix 0 - A0.52 | KYPipe

APPENDIX 0 – Pre-requisite: Steady State Hydraulics

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Surge Analysis and the Wave Plan Method

Supplementary Material: Example Problems and Solutions

Appendix 0 – Problem 52

A0.52 Consider a typical drinking water distribution network shown in the following with one of its pipe loops zoomed in.

The arrows next to the pipe sections indicate the flow direction during a steady state operating condition. The associated friction headlosses are 1.05m, 0.15m, 0.45m, and 0.25m in pipes 1, 2, 3, and 4, respectively. What is the frictional headloss in pipe 5?

An energy equation may be written for the loop starting at node C, traversing through pipes 1, 2, 3, 4, and 5, (and in that sequence) and ending back at node C.

E C – ΔH 1 – ΔH 2 + ΔH 3 + ΔH 4 + ΔH 5 = E C . In this equation, the ΔH term will be subtracted from the left-hand side if the flow in the associated pipe section is in the same direction as the traversing direction and will be added if in the opposite direction.

The only unknown in the above equation is ΔH 5.

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