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. doi:10.1017/S0022112071001058. https://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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Additional Information: | © 1971 Cambridge University Press. Received June 5 1970. Revised October 30 1970. Published Online March 29 2006. | |||||||||
Issue or Number: | 2 | |||||||||
DOI: | 10.1017/S0022112071001058 | |||||||||
Record Number: | CaltechAUTHORS:20120809-090900707 | |||||||||
Persistent URL: | https://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: | 09 Nov 2021 21:32 |
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