Global stability for convection when the viscosity has a maximum

Until now, an unconditional nonlinear energy stability analysis for thermal convection according to Navier–Stokes theory had not been developed for the case in which the viscosity depends on the temperature in a quadratic manner such that the viscosity has a maximum. We analyse here a model of non-N...

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Bibliographic Details
Authors: Díaz Díaz, Jesús Ildefonso, Straughan, Brian
Format: article
Publication Date:2004
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/49549
Online Access:https://hdl.handle.net/20.500.14352/49549
Access Level:Open access
Keyword:517.956.4
Thermal convection
Nonlinear stability
Energy method
Análisis numérico
1206 Análisis Numérico
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network_acronym_str ES
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repository_id_str
spelling Global stability for convection when the viscosity has a maximumDíaz Díaz, Jesús IldefonsoStraughan, Brian517.956.4Thermal convectionNonlinear stabilityEnergy methodAnálisis numérico1206 Análisis NuméricoUntil now, an unconditional nonlinear energy stability analysis for thermal convection according to Navier–Stokes theory had not been developed for the case in which the viscosity depends on the temperature in a quadratic manner such that the viscosity has a maximum. We analyse here a model of non-Newtonian fluid behaviour that allows us to develop an unconditional analysis directly when the quadratic viscosity relation is allowed. By unconditional, we mean that the nonlinear stability so obtained holds for arbitrarily large perturbations of the initial data. The nonlinear stability boundaries derived herein are sharp when compared with the linear instability thresholds.Springer BerlinUniversidad Complutense de Madrid20042004-05-0120042004-05-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49549reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/495492026-06-02T12:44:21Z
dc.title.none.fl_str_mv Global stability for convection when the viscosity has a maximum
title Global stability for convection when the viscosity has a maximum
spellingShingle Global stability for convection when the viscosity has a maximum
Díaz Díaz, Jesús Ildefonso
517.956.4
Thermal convection
Nonlinear stability
Energy method
Análisis numérico
1206 Análisis Numérico
title_short Global stability for convection when the viscosity has a maximum
title_full Global stability for convection when the viscosity has a maximum
title_fullStr Global stability for convection when the viscosity has a maximum
title_full_unstemmed Global stability for convection when the viscosity has a maximum
title_sort Global stability for convection when the viscosity has a maximum
dc.creator.none.fl_str_mv Díaz Díaz, Jesús Ildefonso
Straughan, Brian
author Díaz Díaz, Jesús Ildefonso
author_facet Díaz Díaz, Jesús Ildefonso
Straughan, Brian
author_role author
author2 Straughan, Brian
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.956.4
Thermal convection
Nonlinear stability
Energy method
Análisis numérico
1206 Análisis Numérico
topic 517.956.4
Thermal convection
Nonlinear stability
Energy method
Análisis numérico
1206 Análisis Numérico
description Until now, an unconditional nonlinear energy stability analysis for thermal convection according to Navier–Stokes theory had not been developed for the case in which the viscosity depends on the temperature in a quadratic manner such that the viscosity has a maximum. We analyse here a model of non-Newtonian fluid behaviour that allows us to develop an unconditional analysis directly when the quadratic viscosity relation is allowed. By unconditional, we mean that the nonlinear stability so obtained holds for arbitrarily large perturbations of the initial data. The nonlinear stability boundaries derived herein are sharp when compared with the linear instability thresholds.
publishDate 2004
dc.date.none.fl_str_mv 2004
2004-05-01
2004
2004-05-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/49549
url https://hdl.handle.net/20.500.14352/49549
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Berlin
publisher.none.fl_str_mv Springer Berlin
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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