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Sharp global nonlinear stability for a fluid overlying a highly porous material
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dc.contributor.author | Hill, Antony A. | |
dc.contributor.author | Carr, Magda | |
dc.date.accessioned | 2013-03-15T17:31:03Z | |
dc.date.available | 2013-03-15T17:31:03Z | |
dc.date.issued | 2010-01-08 | |
dc.identifier.citation | Hill , A A & Carr , M 2010 , ' Sharp global nonlinear stability for a fluid overlying a highly porous material ' , Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences , vol. 466 , no. 2113 , pp. 127-140 . https://doi.org/10.1098/rspa.2009.0322 | en |
dc.identifier.issn | 1364-5021 | |
dc.identifier.other | PURE: 2225174 | |
dc.identifier.other | PURE UUID: ad20c06d-2829-47e3-b9f7-018713943b1f | |
dc.identifier.other | WOS: 000272090800008 | |
dc.identifier.other | Scopus: 73949116432 | |
dc.identifier.uri | http://hdl.handle.net/10023/3399 | |
dc.description.abstract | The stability of convection in a two-layer system in which a layer of fluid with a temperature-dependent viscosity overlies and saturates a highly porous material is studied. Owing to the difficulties associated with incorporating the nonlinear advection term in the Navier-Stokes equations into a stability analysis, previous literature on fluid/porous thermal convection has modelled the fluid using the linear Stokes equations. This paper derives global stability for the full nonlinear system, by utilizing a model proposed by Ladyzhenskaya. The nonlinear stability boundaries are shown to be sharp when compared with the linear instability thresholds. | |
dc.format.extent | 14 | |
dc.language.iso | eng | |
dc.relation.ispartof | Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences | en |
dc.rights | This is the author's version of this article. The published version © 2009 The Royal Society is available from http://rspa.royalsocietypublishing.org | en |
dc.subject | Superposed porous-fluid convection | en |
dc.subject | Temperature-dependent viscosity | en |
dc.subject | Energy method | en |
dc.subject | Heat-transfer | en |
dc.subject | Convection | en |
dc.subject | Layer | en |
dc.subject | Flow | en |
dc.subject | Interface | en |
dc.subject | Liquid | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | Sharp global nonlinear stability for a fluid overlying a highly porous material | en |
dc.type | Journal article | en |
dc.description.version | Postprint | en |
dc.contributor.institution | University of St Andrews. Scottish Oceans Institute | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | https://doi.org/10.1098/rspa.2009.0322 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | http://www.scopus.com/inward/record.url?scp=73949116432&partnerID=8YFLogxK | en |
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