Instabilities in buoyant flows under localized heating

10 pages, 9 figures, 1 table.-- PACS: 47.20.Bp; 47.20.Ky; 47.10.-g; 47.35.-i

Detalles Bibliográficos
Autores: Navarro, M. C., Mancho, Ana María, Herrero, Henar
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/21659
Acceso en línea:http://hdl.handle.net/10261/21659
Access Level:acceso abierto
Palabra clave:Rayleigh-Benard instability
Bifurcation
Benard convection
Flow simulation
Surface waves (fluid)
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spelling Instabilities in buoyant flows under localized heatingNavarro, M. C.Mancho, Ana MaríaHerrero, HenarRayleigh-Benard instabilityBifurcationBenard convectionFlow simulationSurface waves (fluid)10 pages, 9 figures, 1 table.-- PACS: 47.20.Bp; 47.20.Ky; 47.10.-g; 47.35.-iWe study, from the numerical point of view, instabilities developed in a fluid layer with a free surface in a cylindrical container which is nonhomogeneously heated from below. In particular, we consider the case in which the applied heat is localized around the origin. An axisymmetric basic state appears as soon as a nonzero horizontal temperature gradient is imposed. The basic state may bifurcate to different solutions depending on vertical and lateral temperature gradients and on the shape of the heating function. We find different kinds of instabilities: extended patterns growing on the whole domain, which include those known as targets, and spiral waves. Spirals are present even for infinite Prandtl number. Localized structures both at the origin and at the outer part of the cylinder may appear either as Hopf or stationary bifurcations. An overview of the developed instabilities as functions of the dimensionless parameters is presented in this article.This work was partially supported by the Research Grant MCYT (Spanish Government) Nos. BFM2003-02832, MTM2004-00797, MTM2006-14843-C02-01, CCYT (JC de Castilla-La Mancha) Nos. PAC-05-005-01/02, SIMUMAT S-0505-ESP-0158 (Comunidad de Madrid), University of Castilla-La Mancha, and CSIC (Nos. PI-200650I224 and PIF06-059 . A.M.M. acknowledges MCYT (Spanish Government) for a Ramón y Cajal Research Fellowship and CESGA for computing support.Peer reviewedAmerican Institute of Physics201020102007info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501689524 bytesapplication/pdfhttp://hdl.handle.net/10261/21659reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://dx.doi.org/10.1063/1.2714295info:eu-repo/semantics/openAccessoai:digital.csic.es:10261/216592026-05-22T06:33:51Z
dc.title.none.fl_str_mv Instabilities in buoyant flows under localized heating
title Instabilities in buoyant flows under localized heating
spellingShingle Instabilities in buoyant flows under localized heating
Navarro, M. C.
Rayleigh-Benard instability
Bifurcation
Benard convection
Flow simulation
Surface waves (fluid)
title_short Instabilities in buoyant flows under localized heating
title_full Instabilities in buoyant flows under localized heating
title_fullStr Instabilities in buoyant flows under localized heating
title_full_unstemmed Instabilities in buoyant flows under localized heating
title_sort Instabilities in buoyant flows under localized heating
dc.creator.none.fl_str_mv Navarro, M. C.
Mancho, Ana María
Herrero, Henar
author Navarro, M. C.
author_facet Navarro, M. C.
Mancho, Ana María
Herrero, Henar
author_role author
author2 Mancho, Ana María
Herrero, Henar
author2_role author
author
dc.subject.none.fl_str_mv Rayleigh-Benard instability
Bifurcation
Benard convection
Flow simulation
Surface waves (fluid)
topic Rayleigh-Benard instability
Bifurcation
Benard convection
Flow simulation
Surface waves (fluid)
description 10 pages, 9 figures, 1 table.-- PACS: 47.20.Bp; 47.20.Ky; 47.10.-g; 47.35.-i
publishDate 2007
dc.date.none.fl_str_mv 2007
2010
2010
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dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/21659
url http://hdl.handle.net/10261/21659
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://dx.doi.org/10.1063/1.2714295
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dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
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instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
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