Summary
Fundamental equations for studying transient flows in conduits with variable cross sections are reviewed. The flow is assumed to be quasi-one-dimensional provided the variation in the pipe cross section is mild. The set of equations is then integrated by a numerically implemented characteristics method. A benchmark case is investigated through which the effect of contraction and expansion of pipe cross section on the waterhammer phenomenon (pressure surge) is addressed and discussed. The result shows a shift of pressure fluctuation from low frequency mode to high frequency mode as the pipe alters from a necking to a bulging configuration.
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Wu, T., Ferng, C.C. Effect of nonuniform conduit section on waterhammer. Acta Mechanica 137, 137–149 (1999). https://doi.org/10.1007/BF01179205
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DOI: https://doi.org/10.1007/BF01179205