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...

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Bibliographic Details
Published in:Quarterly journal of mechanics and applied mathematics 2003-08, Vol.56 (3), p.455-482
Main Authors: Mccue, S. W., King, J. R., Riley, D. S.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Flows through porous media
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Multiphase and particle-laden flows
Nonhomogeneous flows
Physics
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Summary: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.
ISSN:0033-5614
1464-3855
DOI:10.1093/qjmam/56.3.455