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Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary

Plesset, Milton S. and Chapman, Richard B. (1971) Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary. Journal of Fluid Mechanics, 47 (2). pp. 283-290. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20120809-090900707

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Abstract

Vapour bubble collapse problems lacking spherical symmetry are solved here using a numerical method designed especially for these problems. Viscosity and compressibility in the liquid are neglected. Two specific cases of initially spherical bubbles collapsing near a plane solid wall were simulated: a bubble initially in contact with the wall, and a bubble initially half its radius from the wall at the closest point. It is shown that the bubble develops a jet directed towards the wall rather early in the collapse history. Free surface shapes and velocities are presented at various stages in the collapse. Velocities are scaled like (Δp/ρ)^½ where ρ is the density of the liquid and Δp is the constant difference between the ambient liquid pressure and the pressure in the cavity. For Δp/ρ=10^6cm^2/sec^2 ≈ 1 atm/density of water the jet had a speed of about 130m/sec in the first case and 170m/sec in the second when it struck the opposite side of the bubble. Such jet velocities are of a magnitude which can explain cavitation damage. The jet develops so early in the bubble collapse history that compressibility effects in the liquid and the vapour are not important.


Item Type:Article
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http://dx.doi.org/10.1017/S0022112071001058DOIUNSPECIFIED
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=366727&fulltextType=RA&fileId=S0022112071001058PublisherUNSPECIFIED
Additional Information:© 1971 Cambridge University Press. Received June 5 1970. Revised October 30 1970. Published Online March 29 2006.
Record Number:CaltechAUTHORS:20120809-090900707
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120809-090900707
Official Citation: Milton S. Plesset and Richard B. Chapman (1971). Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary. Journal of Fluid Mechanics, 47 , pp 283-290 doi:10.1017/S0022112071001058
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33041
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:09 Aug 2012 17:05
Last Modified:26 Dec 2012 15:54

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