Supplementary Material 0.15

Chapter 0 – Steady-State Hydraulics

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Surge Analysis and the Wave Plan Method

Supplementary Material: Example Problems and Solutions

Chapter 0 – Problem 0.15

0.15 Consider the classic two-reservoir pipeline problem shown in the following figure. The length of the pipeline is 5000 m, the internal diameter is 500 mm, and the Hazen-William roughness coefficient is 100. Compute the steady-state flowrate if the energy grade at reservoir A is 50 m and the energy grade at reservoir B is 100 m. Neglect all minor losses.

Solution:

The energy equation for this pipeline system is:

E_B – ΔH = E_A

The total frictional headloss ΔH = E_B – E_A = 100 – 50 = 50 m

Using the Hazen-William equation to solve for the flowrate:

ΔH = (10.67 L Q^1.852)/(C^1.852 D^4.87)

Substitute all known values and solve for Q: Q = 0.3743 m³/s

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