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The equilibrium and stability of a translating cavity in a liquid

Published online by Cambridge University Press:  28 March 2006

Anthony Eller  and
H. G. Flynn
Anthony Eller
Affiliation:
Acoustical Physics Laboratory, Department of Electrical Engineering, University of Rochester, Rochester, New York 14627 Present address: Acoustics Research Laboratory, Harvard University, Cambridge, Massachusetts 02138.
H. G. Flynn
Affiliation:
Acoustical Physics Laboratory, Department of Electrical Engineering, University of Rochester, Rochester, New York 14627
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Abstract

A strong sound field in a liquid may generate small cavities that move rapidly through the liquid. This paper is an analysis of the equilibrium states, and the conditions for their stability, of a cavity in translational motion through an inviscid, incompressible liquid. A principal conclusion is that translating cavities have a stable size and shape for a wide range of conditions. The equilibrium shape of a stable cavity is approximately an oblate spheroid. It is also found that the presence of translational motion contributes an outward dynamic pressure that tends to enlarge the cavity. As a result, the equilibrium radius of a translating cavity is greater than the equilibrium radius of the same cavity at rest.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 30 , Issue 4 , 22 December 1967 , pp. 785 - 803
Copyright
© 1967 Cambridge University Press

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