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The Collapse and Rebound of a Gas Bubble

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1 Author(s)
Trilling, Leon ; Hydrodynamics Laboratory, California Institute of Technology, Pasadena, California

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The velocity and pressure field in a slightly compressible liquid resulting from the collapse of a spherical bubble is computed as a function of the pressure at the bubble wall, using the acoustic approximation. The results are accurate as long as the liquid velocities are small compared to the sonic velocity in the liquid; they agree with the results previously obtained by C. Herring. The following bubble model is then investigated. The bubble is supposed filled with inviscid perfect non‐conducting gas; special emphasis is given to the gas motion which involves a series of shock waves. A fraction of the energy of compression is thus degraded so that the radius of the bubble after the first rebound is somewhat less than the original radius. The pressure variation at the bubble wall is virtually the same as if the gas were compressed uniformly and isentropically.

Published in:

Journal of Applied Physics  (Volume:23 ,  Issue: 1 )