Kumar, S. and Brennen, C. E. (1990) Nonlinear Effects in Cavitation Cloud Dynamics. In: Cavitation and multiphase flow forum, 1990 : presented at the 1990 Spring Meeting of the Fluids Engineering Division held in conjunction with the 1990 Forum of the Canadian Society of Mechanical Engineers, University of Toronto, Toronto, Ontario, Canada. Fluids Engineering Division. Vol.FED-98. No.98. American Society of Mechanical Engineers , New York, pp. 107-113. ISBN 079180495X http://resolver.caltech.edu/CaltechAUTHORS:KUMasmecmff90b
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This paper presents a spectral analysis of the response of a fluid containing bubbles to the motions of a wall oscillating normal to itself. First, a fourier series analysis of the Rayleigh-Plesset equation is used to obtain an approximate solution for the nonlinear effects in the oscillations of a single bubble. This is used in the approximate solution of the oscillating wall problem and the resulting expressions are evaluated numerically in order to examine the nonlinear effects. The frequency content of the bubble radius and pressure oscillations near the wall is examined. Nonlinear effects are seen to increase with increased amplitude of wall oscillation, reduced void fraction and viscous and surface tension effects.
|Item Type:||Book Section|
|Additional Information:||The authors are very grateful for the support of the Office of Naval Research under contract N00014-85-K-0397. We also thank Professors A.J. Acosta and Sheldon Green for their assistance.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Christopher Brennen|
|Deposited On:||13 Dec 2004|
|Last Modified:||24 Dec 2014 17:27|
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