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Nonlinear Effects in the Dynamics of Clouds of Bubbles

Kumar, Sanjay and Brennen, Christopher E. (1991) Nonlinear Effects in the Dynamics of Clouds of Bubbles. Journal of the Acoustical Society of America, 89 . pp. 707-714. ISSN 0001-4966. http://resolver.caltech.edu/CaltechAUTHORS:KUMjasa91

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Abstract

This paper persents a spectral analysis of the response of a fluid containing bubbles to the motions of a wall oscillating normal to itself. First, a Fourier analysis of the Rayleigh-Plesset equations is used to obtain an approximate solution for the nonlinear effects in the oscillation of a single bubble in an infinite fluid. 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. Harmonic generation results from the nonlinearity. It is observed that the bubble natural frequency remains the dominant natural frequency in the volume oscillations of the bubbles near the wall. On the other hand, the pressure perturbations near the wall are dominated by the first and second harmonics present at twice the natural frequency while the pressure perturbation at the natural frequency of the bubble is inhibited. The response at the forcing frequency and its harmonics is explored along with the variation with amplitude of wall oscillation, void fraction, and viscous and surface tension effects. Splitting and cancellation of frequencies of maximum and minimum response due to enhanced nonlinear effects are also observed.


Item Type:Article
Additional Information:(Received 1 February 1990; accepted for publication 27 August 1990) The authors are very grateful for the support of the Office of Naval Research under Contract N00014-85-K-0397. We also thank Professor Allan J. Acosta and Professor Sheldon Green for their assistance. Copyright 1991 Acoustical Society of America. This artivle may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.
Record Number:CaltechAUTHORS:KUMjasa91
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KUMjasa91
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:114
Collection:CaltechAUTHORS
Deposited By: Christopher Brennen
Deposited On:12 Oct 2004
Last Modified:26 Dec 2012 08:39

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