Chapter 1 – Wave Plan Method
Surge Analysis and the Wave Plan Method
Supplementary Material: Example Problems and Solutions
Chapter 1 – Problem 1.20
1.20 Consider two pipe elements with the same internal diameters of 1000 mm and the same celerity values of 500 m/s connected to a pump element as shown in the following. The pressure head on the downstream side of the pump is 100m.
The head-flow characteristics of the pump are defined using a quadratic relationship:
H = 60 + 0.281 Q – 0.016 Q2, where Q is in m3/s, and H is in m.
a. A pressure wave of -50m approaches the pump from the left side. Compute the reflected and transmitted pressure waves using WPM. [Hint: Use Eq. 1.66 described in Section 1.8 of the book”Surge Analysis and the Wave Plan Method”].
b. A pressure wave of 100m approaches from the right side. Compute the reflected and transmitted pressure waves.
c. A pressure wave of -50m approaches from the left side and another pressure wave of 100m approaches from the right side, both waves arriving at the valve simultaneously. Compute the reflected and transmitted pressure waves. Compute the pressure heads after wave action on both the upstream and downstream sides of the pump.
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