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 45
A0.45 Consider the classical two-reservoir pipeline problem as shown in the following. Length of pipeline is 5000m, internal diameter is 500 mm, Hazen-William roughness coefficient is 100. Compute the steady state pipeline flowrate if the energy grade in reservoir A is 50m and the energy grade in reservoir B is 100m. Neglect all minor losses.
Energy equation for this pipeline system is: E B – ΔH = E A
Total frictional headloss ΔH = E B – E A = 100 – 50 = 50m
The Hazen-William equation:
ΔH = (10.67 L Q 1.852 )/(C 1.852 D 4.87 )
Substitute all know values and solve for Q: Q = 0.3743 m 3 /s
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