Supplementary Material, Appendix 0 – A0.45

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.

Solution:

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 m³/s

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