Numerical Properties of the Discrete Gas Cavity Model for Transients

[+] Author and Article Information
Jim C. P. Liou

Department of Civil Engineering, University of Idaho, Moscow, ID 83844-1022

J. Fluids Eng 122(3), 636-639 (Apr 03, 2000) (4 pages) doi:10.1115/1.1287037 History: Received February 05, 1999; Revised April 03, 2000
Copyright © 2000 by ASME
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Wylie, E. B., 1980, “Free Air in Liquid Transient Flow,” Proceedings of the Third International Conference on Pressure Surges, Paper B1, pp. 27–42, BHRA Fluids Engineering, Canterbuy, U.K., Mar.
Provoost, G. A., and Wylie, E. B., 1981, “Discrete Gas Model to Represent Distributed Free Gas in Liquids,” Fifth International Symposium on Column Separation, Obernach, Germany, Sept. 8 pp.
Wylie, E. B., and Streeter, V. L., 1993, Fluid Transients in Systems, Prentice-Hall, Englewood Cliffs, NJ, pp. 38–39, 184–187.
Wylie,  E. B., 1984, “Simulation of Vaporous and Gaseous Cavitation,” ASME J. Fluids Eng., 106, Sept., pp. 307–311.
Cunge, J. A., Holly, Jr., F. M., and Verwey, A., 1980, Practical Aspects of Computational River Hydraulics, Pitman, London, U.K., pp. 80–89.


Grahic Jump Location
The computational grid and variable definitions
Grahic Jump Location
The amplitude portrait using the first root
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The amplitude portrait using the conjugate roots 2 and 3
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The phase portrait using the conjugate roots 2 and 3
Grahic Jump Location
Wave speed ratios. Numerical wave speed/gas-free wave speed (dots), mixture wave speed/gas-free wave speed (lines)
Grahic Jump Location
Computed large-amplitude transient head 1200 m from the inlet



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