Journal of Fluid Mechanics

Growth and collapse of a vapour cavity near a free surface

J. R.  Blake a1 and D. C.  Gibson a2
a1 Department of Mathematics, University of Wollongong, Wollongong, New South Wales, Australia
a2 Division of Mechanical Engineering, Commonwealth Scientific and Industrial Research Organization, Highett, Victoria, Australia

Article author query
blake jr   [Google Scholar] 
gibson dc   [Google Scholar] 


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.

(Published Online April 20 2006)
(Received August 6 1980)
(Revised February 5 1981)