Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheres

Torsional flows are preferred at the onset of thermal convection in fluid spheres with stress-free and perfectly conducting boundary conditions, in a narrow region of the parameter space for Prandtl numbers Pr¿0.9 and ratios Pr/Ek=O(10)¿, with Ek being the Ekman number. In this case, the transport o...

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Detalles Bibliográficos
Autores: Sánchez Umbría, Juan|||0000-0002-3271-8012, Net Marcé, Marta|||0000-0002-8034-1854
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/395422
Acceso en línea:https://hdl.handle.net/2117/395422
https://dx.doi.org/10.1063/5.0168521
Access Level:acceso abierto
Palabra clave:Fluids
Convective torsional flows
Rotating fluid spheres
Àrees temàtiques de la UPC::Física
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spelling Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheresSánchez Umbría, Juan|||0000-0002-3271-8012Net Marcé, Marta|||0000-0002-8034-1854FluidsConvective torsional flowsRotating fluid spheresFluidsÀrees temàtiques de la UPC::FísicaTorsional flows are preferred at the onset of thermal convection in fluid spheres with stress-free and perfectly conducting boundary conditions, in a narrow region of the parameter space for Prandtl numbers Pr¿0.9 and ratios Pr/Ek=O(10)¿, with Ek being the Ekman number. In this case, the transport of heat to the exterior is supposed instantaneous. When the thermal conductivity of the internal fluid is large, and the external convective heat transfer or radiative emissivity is low, the heat transmission is less efficient, and the thermal energy retained in the interior increases, enhancing the onset of convection. This study is devoted to analyzing the combined influence of the thermal conductivity and external conditions (temperature and resistance to heat transport) on the onset of the torsional convection by taking a Robin boundary condition for the temperature at the surface of the sphere. It is shown, by means of the numerical computation of the curves of simultaneous transitions to torsional flows and Rossby waves, that when the heat flux through the boundary decreases, the region where the axisymmetric flows are preferred shrinks, but it never strangles to an empty set. It has been found that with adequate scalings the curves delimiting the transition to torsional flows, and those of the critical Rayleigh number, Rac¿, and the frequencies of the modes vs Ek become almost independent of the parameter of the Robin boundary condition.20232023-10-1820232023-10-26journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/395422https://dx.doi.org/10.1063/5.0168521reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3954222026-05-27T15:37:01Z
dc.title.none.fl_str_mv Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheres
title Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheres
spellingShingle Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheres
Sánchez Umbría, Juan|||0000-0002-3271-8012
Fluids
Convective torsional flows
Rotating fluid spheres
Fluids
Àrees temàtiques de la UPC::Física
title_short Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheres
title_full Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheres
title_fullStr Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheres
title_full_unstemmed Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheres
title_sort Effect of Robin boundary conditions on the onset of convective torsional flows in rotating fluid spheres
dc.creator.none.fl_str_mv Sánchez Umbría, Juan|||0000-0002-3271-8012
Net Marcé, Marta|||0000-0002-8034-1854
author Sánchez Umbría, Juan|||0000-0002-3271-8012
author_facet Sánchez Umbría, Juan|||0000-0002-3271-8012
Net Marcé, Marta|||0000-0002-8034-1854
author_role author
author2 Net Marcé, Marta|||0000-0002-8034-1854
author2_role author
dc.subject.none.fl_str_mv Fluids
Convective torsional flows
Rotating fluid spheres
Fluids
Àrees temàtiques de la UPC::Física
topic Fluids
Convective torsional flows
Rotating fluid spheres
Fluids
Àrees temàtiques de la UPC::Física
description Torsional flows are preferred at the onset of thermal convection in fluid spheres with stress-free and perfectly conducting boundary conditions, in a narrow region of the parameter space for Prandtl numbers Pr¿0.9 and ratios Pr/Ek=O(10)¿, with Ek being the Ekman number. In this case, the transport of heat to the exterior is supposed instantaneous. When the thermal conductivity of the internal fluid is large, and the external convective heat transfer or radiative emissivity is low, the heat transmission is less efficient, and the thermal energy retained in the interior increases, enhancing the onset of convection. This study is devoted to analyzing the combined influence of the thermal conductivity and external conditions (temperature and resistance to heat transport) on the onset of the torsional convection by taking a Robin boundary condition for the temperature at the surface of the sphere. It is shown, by means of the numerical computation of the curves of simultaneous transitions to torsional flows and Rossby waves, that when the heat flux through the boundary decreases, the region where the axisymmetric flows are preferred shrinks, but it never strangles to an empty set. It has been found that with adequate scalings the curves delimiting the transition to torsional flows, and those of the critical Rayleigh number, Rac¿, and the frequencies of the modes vs Ek become almost independent of the parameter of the Robin boundary condition.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-10-18
2023
2023-10-26
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/395422
https://dx.doi.org/10.1063/5.0168521
url https://hdl.handle.net/2117/395422
https://dx.doi.org/10.1063/5.0168521
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
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
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