Bénard-Marangoni convection in square containers

Autores
Krmpotić, Darío Vladimir; Mindlin, Gabriel Bernardo; Pérez García, C.
Año de publicación
1996
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Convection in a square container of small aspect ratio is studied taking into account thermocapillarity as well as gravity effects. In addition to the geometrical symmetry (D₄), the existence of hidden translational symmetries, due to boundary conditions, allows us to explain the qualitative features of the patterns found in recently reported experiments [T. Ondarzuhu et al., Phys. Rev. Lett. 70, 3892 (1993)]. The nonlinear interaction between mixed modes and pure modes is shown to give rise to a sequence of bifurcations that leads to the onset of oscillations, as observed experimentally.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
Convection
Square (algebra)
Nonlinear system
Aspect ratio
Boundary value problem
Condensed matter physics
Calculus
Mathematics
Symmetry (physics)
Marangoni effect
Homogeneous space
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/122884
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/122884
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Bénard-Marangoni convection in square containersKrmpotić, Darío VladimirMindlin, Gabriel BernardoPérez García, C.Ciencias ExactasFísicaConvectionSquare (algebra)Nonlinear systemAspect ratioBoundary value problemCondensed matter physicsCalculusMathematicsSymmetry (physics)Marangoni effectHomogeneous spaceConvection in a square container of small aspect ratio is studied taking into account thermocapillarity as well as gravity effects. In addition to the geometrical symmetry (D₄), the existence of hidden translational symmetries, due to boundary conditions, allows us to explain the qualitative features of the patterns found in recently reported experiments [T. Ondarzuhu <i>et al.</i>, Phys. Rev. Lett. 70, 3892 (1993)]. The nonlinear interaction between mixed modes and pure modes is shown to give rise to a sequence of bifurcations that leads to the onset of oscillations, as observed experimentally.Facultad de Ciencias Exactas1996-10-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf3609-3613http://sedici.unlp.edu.ar/handle/10915/122884enginfo:eu-repo/semantics/altIdentifier/issn/1063-651Xinfo:eu-repo/semantics/altIdentifier/issn/1095-3787info:eu-repo/semantics/altIdentifier/pmid/9965508info:eu-repo/semantics/altIdentifier/doi/10.1103/physreve.54.3609info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:10:09Zoai:sedici.unlp.edu.ar:10915/122884Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:10:10.205SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Bénard-Marangoni convection in square containers
title Bénard-Marangoni convection in square containers
spellingShingle Bénard-Marangoni convection in square containers
Krmpotić, Darío Vladimir
Ciencias Exactas
Física
Convection
Square (algebra)
Nonlinear system
Aspect ratio
Boundary value problem
Condensed matter physics
Calculus
Mathematics
Symmetry (physics)
Marangoni effect
Homogeneous space
title_short Bénard-Marangoni convection in square containers
title_full Bénard-Marangoni convection in square containers
title_fullStr Bénard-Marangoni convection in square containers
title_full_unstemmed Bénard-Marangoni convection in square containers
title_sort Bénard-Marangoni convection in square containers
dc.creator.none.fl_str_mv Krmpotić, Darío Vladimir
Mindlin, Gabriel Bernardo
Pérez García, C.
author Krmpotić, Darío Vladimir
author_facet Krmpotić, Darío Vladimir
Mindlin, Gabriel Bernardo
Pérez García, C.
author_role author
author2 Mindlin, Gabriel Bernardo
Pérez García, C.
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Convection
Square (algebra)
Nonlinear system
Aspect ratio
Boundary value problem
Condensed matter physics
Calculus
Mathematics
Symmetry (physics)
Marangoni effect
Homogeneous space
topic Ciencias Exactas
Física
Convection
Square (algebra)
Nonlinear system
Aspect ratio
Boundary value problem
Condensed matter physics
Calculus
Mathematics
Symmetry (physics)
Marangoni effect
Homogeneous space
dc.description.none.fl_txt_mv Convection in a square container of small aspect ratio is studied taking into account thermocapillarity as well as gravity effects. In addition to the geometrical symmetry (D₄), the existence of hidden translational symmetries, due to boundary conditions, allows us to explain the qualitative features of the patterns found in recently reported experiments [T. Ondarzuhu <i>et al.</i>, Phys. Rev. Lett. 70, 3892 (1993)]. The nonlinear interaction between mixed modes and pure modes is shown to give rise to a sequence of bifurcations that leads to the onset of oscillations, as observed experimentally.
Facultad de Ciencias Exactas
description Convection in a square container of small aspect ratio is studied taking into account thermocapillarity as well as gravity effects. In addition to the geometrical symmetry (D₄), the existence of hidden translational symmetries, due to boundary conditions, allows us to explain the qualitative features of the patterns found in recently reported experiments [T. Ondarzuhu <i>et al.</i>, Phys. Rev. Lett. 70, 3892 (1993)]. The nonlinear interaction between mixed modes and pure modes is shown to give rise to a sequence of bifurcations that leads to the onset of oscillations, as observed experimentally.
publishDate 1996
dc.date.none.fl_str_mv 1996-10-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/122884
url http://sedici.unlp.edu.ar/handle/10915/122884
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1063-651X
info:eu-repo/semantics/altIdentifier/issn/1095-3787
info:eu-repo/semantics/altIdentifier/pmid/9965508
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreve.54.3609
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
3609-3613
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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