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Some integral theorems relating to the oscillations of bubbles

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 Avenue, Suite 320, La Jolla, CA 92037, USA
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Abstract

Two integral theorems are proved which are applicable to the motion of an incompressible fluid in three dimensions. From either of these theorems one can derive the monopole component of the pressure fluctuation at infinity when a bubble undergoes non-spherical oscillations. The results confirm and generalize some recent calculations of this effect (Longuet-Higgins 1989a). They also provide a basis for a physical discussion of the origin of the monopole terms.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 204 , July 1989 , pp. 159 - 166
Copyright
© 1989 Cambridge University Press

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References

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