Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers

The aim of this study is to determine through numerical simulations the extent and robustness of the three-dimensional torsional dynamics of the thermal convection in rotating spherical fluids at very low Prandtl numbers. It is known that the kinetic energy of the periodic axisymmetric flows propaga...

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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:2021
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:2117/357049
Acceso en línea:https://hdl.handle.net/2117/357049
https://dx.doi.org/10.1063/5.0064465
Access Level:acceso abierto
Palabra clave:Fluid dynamics
Dynamics
Fluid mechanics
Functional equations
Dynamical systems
Torsional dynamics
Thermal transport
Dinàmica de fluids
Dinàmica
Mecànica de fluids
Equacions funcionals
Àrees temàtiques de la UPC::Física
id ES_a324a6482edb8447be5aeb0bc3ec8ee8
oai_identifier_str oai:upcommons.upc.edu:2117/357049
network_acronym_str ES
network_name_str España
repository_id_str
spelling Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbersSánchez Umbría, Juan|||0000-0002-3271-8012Net Marcé, Marta|||0000-0002-8034-1854Fluid dynamicsDynamicsFluid mechanicsFunctional equationsFluid dynamicsDynamical systemsFluid mechanicsFunctional equationsTorsional dynamicsThermal transportDinàmica de fluidsDinàmicaMecànica de fluidsEquacions funcionalsÀrees temàtiques de la UPC::FísicaThe aim of this study is to determine through numerical simulations the extent and robustness of the three-dimensional torsional dynamics of the thermal convection in rotating spherical fluids at very low Prandtl numbers. It is known that the kinetic energy of the periodic axisymmetric flows propagates latitudinally on the surface of the sphere. Here, it is shown that when the axisymmetry is broken at a secondary Hopf bifurcation, the flow starts to drift in the azimuthal direction giving rise to a quasiperiodic motion that propagates the energy in latitude and longitude. The double direction of propagation gives rise to a meandering path of the kinetic energy, which is still concentrated on the surface, but highly localized. Several new stable states of convection with different symmetries have been identified in a large range of Rayleigh numbers, all of them retaining the torsional motion of the basic velocity field. Particular attention is paid to their dependence on the Rayleigh number and on the values of the frequencies, of the mean zonal flow, and of the kinetic energy of the fluid.20212021-11-0420212021-11-24journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/357049https://dx.doi.org/10.1063/5.0064465reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3570492026-05-27T15:37:01Z
dc.title.none.fl_str_mv Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers
title Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers
spellingShingle Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers
Sánchez Umbría, Juan|||0000-0002-3271-8012
Fluid dynamics
Dynamics
Fluid mechanics
Functional equations
Fluid dynamics
Dynamical systems
Fluid mechanics
Functional equations
Torsional dynamics
Thermal transport
Dinàmica de fluids
Dinàmica
Mecànica de fluids
Equacions funcionals
Àrees temàtiques de la UPC::Física
title_short Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers
title_full Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers
title_fullStr Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers
title_full_unstemmed Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers
title_sort Three-dimensional quasiperiodic torsional flows in rotating spherical fluids at very low Prandtl numbers
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 Fluid dynamics
Dynamics
Fluid mechanics
Functional equations
Fluid dynamics
Dynamical systems
Fluid mechanics
Functional equations
Torsional dynamics
Thermal transport
Dinàmica de fluids
Dinàmica
Mecànica de fluids
Equacions funcionals
Àrees temàtiques de la UPC::Física
topic Fluid dynamics
Dynamics
Fluid mechanics
Functional equations
Fluid dynamics
Dynamical systems
Fluid mechanics
Functional equations
Torsional dynamics
Thermal transport
Dinàmica de fluids
Dinàmica
Mecànica de fluids
Equacions funcionals
Àrees temàtiques de la UPC::Física
description The aim of this study is to determine through numerical simulations the extent and robustness of the three-dimensional torsional dynamics of the thermal convection in rotating spherical fluids at very low Prandtl numbers. It is known that the kinetic energy of the periodic axisymmetric flows propagates latitudinally on the surface of the sphere. Here, it is shown that when the axisymmetry is broken at a secondary Hopf bifurcation, the flow starts to drift in the azimuthal direction giving rise to a quasiperiodic motion that propagates the energy in latitude and longitude. The double direction of propagation gives rise to a meandering path of the kinetic energy, which is still concentrated on the surface, but highly localized. Several new stable states of convection with different symmetries have been identified in a large range of Rayleigh numbers, all of them retaining the torsional motion of the basic velocity field. Particular attention is paid to their dependence on the Rayleigh number and on the values of the frequencies, of the mean zonal flow, and of the kinetic energy of the fluid.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-11-04
2021
2021-11-24
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/2117/357049
https://dx.doi.org/10.1063/5.0064465
url https://hdl.handle.net/2117/357049
https://dx.doi.org/10.1063/5.0064465
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-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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