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Note on shape oscillations of bubbles

Published online by Cambridge University Press:  26 April 2006

T. Brooke Benjamin
T. Brooke Benjamin
Affiliation:
Mathematical Institute, 24/29 St Giles, Oxford OX1 3LB, UK
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Abstract

By use of a virial equation introduced in a recent paper (Benjamin 1987), the main results of a second-order perturbation theory developed by Longuet-Higgins (1989a) are recovered in comparatively simple fashion. Asymmetric capillary vibrations of a gas bubble in an infinite incompressible liquid are confirmed to generate an increase in the volume of the bubble, a lowering of the mean pressure of the gas and a monopole component in the motion of the liquid. It is shown that the second effect remains when the bubble is incompressible.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 203 , June 1989 , pp. 419 - 424
Copyright
© 1989 Cambridge University Press

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References

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