Antony Hill Antony.Hill@uwe.ac.uk
College Dean of Learning and Teaching
Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers
Hill, Antony A.; Carr, Magda
Authors
Magda Carr
Abstract
Studies of the nonlinear stability of fluid/porous systems have been developed very recently. A two-domain modelling approach has been adopted in previous works, but was restricted to specific configurations. The extension to the more general case of a Navier-Stokes modelled fluid over a porous material was not achieved for the twodomain approach owing to the difficulties associated with handling the interfacial boundary conditions. This paper addresses this issue by adopting a one-domain approach, where the governing equations for both regions are combined into a unique set of equations that are valid for the entire domain. It is shown that the nonlinear stability bound, in the one-domain approach, is very sharp and hence excludes the possibility of subcritical instabilities. Moreover, the one-domain approach is compared with an equivalent two-domain approach, and excellent agreement is found between the two. © 2010 The Royal Society.
Citation
Hill, A. A., & Carr, M. (2010). Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466(2121), 2695-2705. https://doi.org/10.1098/rspa.2010.0014
Journal Article Type | Conference Paper |
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Publication Date | Sep 8, 2010 |
Deposit Date | Oct 24, 2012 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Print ISSN | 1364-5021 |
Electronic ISSN | 1471-2946 |
Publisher | Royal Society, The |
Peer Reviewed | Peer Reviewed |
Volume | 466 |
Issue | 2121 |
Pages | 2695-2705 |
DOI | https://doi.org/10.1098/rspa.2010.0014 |
Keywords | superposed porous–fluid convection, one-domain approach, energy method |
Public URL | https://uwe-repository.worktribe.com/output/985591 |
Publisher URL | http://dx.doi.org/10.1098/rspa.2010.0014 |
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