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Extinction Behaviour of Contracting Bubbles in Porous Media

By Scott W. McCue, John R. King and David S. Riley

Abstract

This paper is concerned with bubble contraction in porous media otherwise filled with viscous fluid. We suppose that an external pressure is applied to the (fixed) boundary of a porous medium, forcing a bubble to contract towards a point. By using the Baiocchi transform, we are able to give a rather complete asymptotic description of the process at times just before the bubble vanishes. The application of time-reversal to the results leads to implications for bubble nucleation

Topics: 010000 MATHEMATICAL SCIENCES, Bubble contraction, Darcy flow, porous medium, Hele, Shaw cell, moving boundary, extinction problem, Baiocchi transform, formal asymptotics, gravity potential, Stefan problem, time, reversal, conserved quantities
Publisher: Oxford University Press
Year: 2003
DOI identifier: 10.1093/qjmam/56.3.455
OAI identifier: oai:eprints.qut.edu.au:14256

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