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Monopole emission of sound by asymmetric bubble oscillations. Part 1. Normal modes

Published online by Cambridge University Press:  26 April 2006

Michael S. Longuet-Higgins
Michael S. Longuet-Higgins
Affiliation:
Center for Studies of Nonlinear Dynamics, La Jolla Institute, 7855 Fay Ave., La Jolla, CA 92037, USA Permanent address: Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge CB3 9EW, UK
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Abstract

On a linearized theory, the pressure field due to bubbles oscillating asymmetrically in a ‘distortion mode’ decays with radial distance r like r−(n+1), where n > 1. Hence these modes have been thought to produce a negligible emission of sound. In this paper it is shown that, on the contrary, in nonlinear theory the distortion modes produce a monopole radiation of sound (n=0) at second order. Its frequency is twice the basic frequency of the distortion mode, and the sound amplitude is proportional to the square of the distortion amplitude. The magnitude of the pressure fluctuations within the bubble is comparable with 1 atmosphere.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 201 , April 1989 , pp. 525 - 541
Copyright
© 1989 Cambridge University Press

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