Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary
- Creators
- Plesset, Milton S.
- Chapman, Richard B.
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.
Additional Information
© 1971 Cambridge University Press. Received June 5 1970. Revised October 30 1970. Published Online March 29 2006.Attached Files
Published - PLEjfm71.pdf
Files
Name | Size | Download all |
---|---|---|
md5:44cf040ae23d2560d0abe15d0e9908c8
|
350.9 kB | Preview Download |
Additional details
- Eprint ID
- 33041
- Resolver ID
- CaltechAUTHORS:20120809-090900707
- Created
-
2012-08-09Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field