Collapse of spherical bubbles in fluids with nonlinear viscosity

Author:

Brutyan M. A.,Krapivsky P. L.

Abstract

An analysis is given of the collapse of a spherical bubble in a large body of a viscous incompressible fluid with strain-dependent nonlinear viscosity. Two types of asymptotic behaviors are found analytically, namely the collapse over finite time and viscous damping over infinite time.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference14 articles.

1. Lord Rayleigh, On the pressure developed in a liquid during the collapse of a spherical cavity, Philos. Mag. 34, 94–96 (1917)

2. Bubble dynamics;Plesset, Milton S.,1964

3. D. J. Evans and G. P. Morris, Statistical Mechanics of Nonequilibrium Liquids, Academic Press, New York, 1990

4. M. P. Allen and D. Tildesley, Computer Simulation of Liquids, Clarendon, Oxford, 1987

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