The Natural Frequencies of Two Spherical Bubbles Oscillating in Water

[+] Author and Article Information
A. Shima

Institute of High Speed Mechanics, Tohoku University, Sendai, Japan

J. Basic Eng 93(3), 426-431 (Sep 01, 1971) (6 pages) doi:10.1115/1.3425268 History: Received July 17, 1970; Online October 27, 2010


The natural frequencies of two spherical bubbles, as they oscillate near each other in water, was theoretically studied, by taking account of surface tension, and on the assumption of the gas in the bubbles following the law of adiabatic change. As a result, the present solution includes these solutions of Minneart, Richardson and Neppiras and Noltingk as particular cases.

Copyright © 1971 by ASME
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