APPENDIX 0 – Pre-requisite: Steady State Hydraulics
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?
Solution:
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.
EC – ΔH1 – ΔH2 + ΔH3 + ΔH4 + ΔH5 = EC. 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 ΔH5.
ΔH5 = +0.5m
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