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Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts

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dc.contributor.author Khaleque, Tania S
dc.contributor.author Fowler, Andrew C.
dc.contributor.author Howell, P D
dc.contributor.author Vynnycky, Michael
dc.date.accessioned 2016-04-26T11:53:21Z
dc.date.issued 2015
dc.identifier.citation Khaleque, TS,Fowler, AC,Howell, PD,Vynnycky, M (2015) 'Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts'. Physics Of Fluids, 27 . en_US
dc.identifier.uri http://hdl.handle.net/10344/5036
dc.description peer-reviewed en_US
dc.description.abstract Motivated by convection of planetary mantles, we consider a mathematical model for Rayleigh-Benard convection in a basally heated layer of a fluid whose viscosity depends strongly on temperature and pressure, defined in an Arrhenius form. The model is solved numerically for extremely large viscosity variations across a unit aspect ratio cell, and steady solutions for temperature, isotherms, and streamlines are obtained. To improve the efficiency of numerical computation, we introduce a modified viscosity law with a low temperature cutoff. We demonstrate that this simplification results in markedly improved numerical convergence without compromising accuracy. Continued numerical experiments suggest that narrow cells are preferred at extreme viscosity contrasts, and this conclusion is supported by a linear stability analysis. (C) 2015 AIP Publishing LLC. en_US
dc.language.iso eng en_US
dc.publisher American Institute of Physics en_US
dc.relation.ispartofseries Physics of Fluids;27, 076603
dc.relation.uri http://dx.doi.org/10.1063/1.4923061
dc.rights Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following 'Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts' appeared in Physics of Fluids;27, 076603 and may be found at http://dx.doi.org/10.1063/1.4923061 en_US
dc.subject stagnant lid convection en_US
dc.subject mantle convection en_US
dc.subject variable-viscosity en_US
dc.subject plate-tectonics en_US
dc.subject generation en_US
dc.title Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.date.updated 2016-04-26T11:44:07Z
dc.description.version PUBLISHED
dc.contributor.sponsor SFI en_US
dc.relation.projectid 12/1A/1683 en_US
dc.date.embargoEndDate 2016-07-07
dc.embargo.terms 2016-07-07 en_US
dc.rights.accessrights info:eu-repo/semantics/embargoedAccess en_US
dc.internal.rssid 1595058
dc.internal.copyrightchecked Yes
dc.description.status peer-reviewed


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