Supplementary Material 1.26

Chapter 1 – Wave Plan Method

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Surge Analysis and the Wave Plan Method

Supplementary Material: Example Problems and Solutions

Chapter 1 – Problem 1.26

1.26 If 100 identical pipes (of the same material, diameter, thickness, etc.) join at a junction node, and a pressure wave of magnitude 50m approaches the junction node from one of the pipes, what is the magnitude and sign of the reflected pressure wave?

Solution:

T = (2/F) / (100/F) = 0.02

R = T – 1 = -0.98

R∆H = -49m.

A pipe (with incoming pressure wave) connected to 99 other identical pipes essentially amounts to a pipe connected to a fixed head reservoir boundary where the reflection coefficient = -1.0.


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