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Growth and collapse of a vapour cavity near a free surface

  • J. R. Blake (a1) and D. C. Gibson (a2)
Abstract

An approximate integral-equation approach is used to model the growth and collapse of a vapour cavity in close proximity to an initially plane free surface. By comparison with experiment, it is shown to predict all the salient features of the bubble and freesurface interaction, provided that the complete nonlinear Bernoulli pressure condition is applied on both surfaces. Features observed and predicted include the formation of an accelerating liquid jet in the bubble and a pronounced spike in the free surface during the collapse phase of the bubble's life. If the bubble is initially sufficiently close to the free surface, it will become ‘entrained’ in the raised free surface with a veneer of liquid separating the two free surfaces.

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Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions. Dover.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Benjamin, T. B. & Ellis, A. T. 1966 The collapse of cavitation bubbles and the pressures thereby produced against solid boundaries. Phil. Trans. Roy. Soc. A 260, 221.
Bevir, M. K. & Fielding, P. J. 1974 Numerical solution of incompressible bubble collapse with jetting. In Moving Boundary Problems in Heat Flow and Diffusion (ed. J. R. Ockendon & W. R. Hodgkins). Clarendon Press.
Birkhoff, G. & Zarantonello, E. H. 1957 Jets, Wakes and Cavities. Academic Press.
Blake, J. R. & Cerone, P. 1981 A note on the ‘impulse’ due to a vapour bubble near a boundary. J. Aust. Math. Soc., series B (in press).
Chahine, G. L. 1977 Interaction between an oscillating bubble and a free surface. J. Fluids Engng 99, 709716.
Gibson, D. C. 1968 Cavitation adjacent to plane boundaries. Proc. Third Australasian Conf. on Hydraulics & Fluid Mechanics, pp. 210214. Institution of Engineers, Sydney, Australia.
Gibson, D. C. 1972 The pulsation time of spark induced vapor bubbles. J. Basic Engng 94, 248249.
Gibson, D. C. & Blake, J. R. 1980 Growth and collapse of cavitation bubbles near flexible boundaries. Proceedings of the Seventh Australasian Hydraulics and Fluid Mechanics Conference, pp. 283286. Institution of Engineers, Australia, Brisbane, August 1980
Lauterborn, W. & Bolle, H. 1975 Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary. J. Fluid Mech. 72, 391399.
Mitchell, T. M. & Hammitt, F. G. 1973 Asymmetric cavitation bubble collapse. J. Fluids Engng 95, 2937.
Plesset, M. S. & Chapman, R. B. 1971 Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary. J. Fluid Mech. 47, 283.
Rayleigh, Lord 1917 On the pressure developed in a liquid during the collapse of a spherical void. Phil. Mag. 34, 94.
Reynolds, O. 1894 Experiments showing the boiling of water in an open tube at ordinary temperatures. British Assoc. Adv. Sci. Report 564. (See also Science Papers 2, p. 578, 1901.)
Shima, A. 1968 The behaviour of a spherical bubble in the vicinity of a solid wall. J. Basic Engng 90, 7589.
Wu, T. Y. 1976 The momentum theorem for a deformable body in perfect fluid. Schiffstechnik 23, 229232.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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