Extinction Behaviour of Contracting Bubbles in Porous Media
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.
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|Item Type:||Journal Article|
|Keywords:||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|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000)|
|Divisions:||Past > QUT Faculties & Divisions > Faculty of Science and Technology|
|Copyright Owner:||Copyright 2003 Oxford University Press|
|Copyright Statement:||This is an electronic version of an article published in [Quarterly Journal of Mechanics and Applied Mathematics 56(3):pp. 455-482.]|
|Deposited On:||04 Aug 2008 00:00|
|Last Modified:||09 Jun 2010 13:01|
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