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The stability of the surface of a cavitation bubble

Published online by Cambridge University Press:  24 October 2008

A. M. Binnie
A. M. Binnie
Affiliation:
Trinity CollegeCambridge
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Abstract

A theoretical examination is made of the stability of a spherical interface between two inviscid liquids accelerated radially from rest. If surface tension be neglected, it is found that the interface is unstable or stable according as the acceleration is directed towards or away from the liquid of greater density. Surface tension has a marked stabilizing effect, and numerical results are given for the minimum outward acceleration required to destroy the equilibrium of the surface of a cavity formed in water. These results are suggested as a possible explanation of the behaviour of cavitation bubbles seen to form near a fixed object under test in a water tunnel.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 1 , January 1953 , pp. 151 - 155
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

REFERENCES

(1)Buff, F. P. and Kirkwood, J. G.J. chem. Phys. 18 (1950), 991.CrossRefGoogle Scholar
(2)Demtchenko, B.C.R. Acad. Sci., Paris, 184 (1927), 1314.Google Scholar
(3)Kirkwood, J. G. and Buff, F. P.J. chem. Phys. 17 (1949), 338.CrossRefGoogle Scholar
(4)Knapp, R. T. and Hollander, A.Trans. Amer. Soc. mech. Engrs, 70 (1948), 419.CrossRefGoogle Scholar
(5)Lamb, Sir H.Hydrodynamics (Cambridge, 1932), §275.Google Scholar
(6)Lewis, D. J.Proc. roy. Soc. A, 202 (1950), 81.Google Scholar
(7)Maxwell, J. C.Electricity and magnetism (Oxford, 1892), vol. 1, pls. VI–IX.Google Scholar
(8)Pennington, R. H. and Bellman, R. Report PU-B-1 (1952), Project Matterhorn, Princeton Univ.Google Scholar
(9)Plesset, M. S.J. appl. Mech. 16 (1949), 277.CrossRefGoogle Scholar
(10)Rayleigh, Lord. Proc. roy. Soc. A, 29 (1879), 71. Theory of sound (London, 1926), vol. 2, §364. Papers, vol. 1, p. 377.Google Scholar
(11)Riabouchinsky, D.C.R. Acad. Sci., Paris, 184 (1927), 583.Google Scholar
(12)Taylor, Sir G.Proc. roy. Soc. A, 201 (1950), 192.Google Scholar
(13)Tolman, R. C.J. chem. Phys. 17 (1949), 333.CrossRefGoogle Scholar