Damping in Transient Pressurized Flows
Publication: Journal of Hydraulic Engineering
Volume 145, Issue 10
Abstract
Piping systems are commonly designed to withstand the first transient pressure peak, which is unaffected by dissipation. However, for multiple operations of control equipment, for example, pump start-up following pump shutdown, and load acceptance following load rejection on hydraulic turbines, an accurate prediction of the dissipation of pressure oscillations is needed to select a suitable time for the second operation. For this purpose, following a simple procedure used for computing the dissipation of vibrations of bridges and other structures with time, a method is presented to compute the dissipation of pressure oscillations in piping systems. Similar to structural engineering, this method is simple to apply, does not require simulation of the entire system, is not computationally intensive, and gives reasonable results for practical applications for a complex phenomenon whose mechanics is not well understood at present. An empirical equation for the damping ratio is developed using dimensional analysis and by nonlinear regression. Comparisons of the computed and experimental results for 17 tests conducted in laboratories all over the globe show good agreement. It is found that the damping ratio increases with increases in the Reynolds number or Mach number and decreases with the diameter-to-length ratio of the pipeline. Uncertainty, quantified using a Bayesian inference approach, shows that the model predicts the value of the damping ratio successfully.
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Acknowledgments
The authors would like to thank Mr. Ray Knight for his help and assistance in the preparation of the manuscript. Many thanks and appreciation go to the Ministry of Higher Education and Scientific Research (MoHESR), in coordination with the Northern Technical University, and the Iraqi Cultural Office in Washington, DC, for providing a scholarship to the first author. The authors also thank the Higher Committee for Education Development (HCED) in Iraq for providing scholarships to the third author in coordination with the University of Basrah to conduct this research.
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Published In
Journal of Hydraulic Engineering
Volume 145 • Issue 10 • October 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Dec 7, 2017
Accepted: Jan 30, 2019
Published online: Aug 2, 2019
Published in print: Oct 1, 2019
Discussion open until: Jan 2, 2020
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