Extinction Behaviour of Contracting Bubbles in Porous Media
McCue, Scott W., King, John R., & Riley, David S. (2003) Extinction Behaviour of Contracting Bubbles in Porous Media. Quarterly Journal of Mechanics and Applied Mathematics, 56(3), pp. 455-482.
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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.
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| ID Code: | 14256 |
|---|---|
| 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 |
| DOI: | 10.1093/qjmam/56.3.455 |
| ISSN: | 1464-3855 |
| 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 |
| Last Modified: | 09 Jun 2010 23:01 |
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