Supplementary Material 0.3

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 0.3

0.3 What is the equivalent Hazen-William roughness coefficient for the pipeline described in the previous question under the same flow conditions?

Solution:

The SI unit version of the Hazen-William empirical equation for friction headloss in a pipe section is:

ΔH = (10.67 L Q^1.852)/(C^1.852 D^4.87), where L is the length of the pipe section, Q is the flowrate, C is the Hazen-William roughness coefficient, and D is the pipe internal diameter; all parameters are in standard SI units.

For L = 1000 m, D = 0.3 m, Q = V (π/4)D²= 2 * 0.7854 * 0.3² = 0.1414 m³/s, and ΔH = 0.0689 m, therefore the Hazen-William roughness coefficient C = 134.15.

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