Supplementary Material 1.24

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 1.24

1.24 If 4 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:

Refer to Figure 1.20 in Section 1.5 Wave Action at Junctions.

Use Eq. 1.40 with F1 = F = F3 = F4 = F (pipe elastic factors) to first calculate the transmission coefficient.

T = (2/F) / (4/F) = 0.5

Refection coefficient: R = T – 1 = -0.5

If ∆H represents the incoming pressure wave, the reflected pressure wave R∆H = -25m.


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