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RESEARCH PAPERS

On the Radial Oscillations of Multiple Gas Bubbles in an Incompressible Liquid

[+] Author and Article Information
B. E. Foody, P. W. Huber

Department of Mechanical Engineering, Room 3-258, Massachusetts Institute of Technology, Cambridge, Mass. 02139

J. Appl. Mech 48(4), 727-731 (Dec 01, 1981) (5 pages) doi:10.1115/1.3157723 History: Received December 01, 1980; Revised March 01, 1981; Online July 21, 2009

Abstract

The radial oscillations of multiple gas bubbles in an incompressible liquid bounded by plane solid or free surfaces are analyzed. Derivation of the normal mode frequencies and mode shapes of two, three, and four bubble configurations in an unbounded liquid illustrate the method of analysis. Expressions for the oscillation frequencies of bubbles near free and solid surfaces are derived.

Copyright © 1981 by ASME
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