Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flow

In this study, the non-linear dynamics of Taylor–Couette flow in a very small-aspect-ratio wide-gap annulus in a counter-rotating regime under the influence of radial through-flow are investigated by solving its full three-dimensional Navier-Stokes equations. Depending on the intensity of the radial...

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Autores: Altmeyer, Sebastian Andreas|||0000-0001-5964-0203, Sankar, Mani, Do, Younghae
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/384327
Acesso em linha:https://hdl.handle.net/2117/384327
https://dx.doi.org/10.1038/s41598-022-26645-6
Access Level:acceso abierto
Palavra-chave:Taylor vortices
Taylor-Couette flow
Radial flow
Bifurcation
Non-linear dynamics
Complex system
Direct numerical simulation
Vòrtexs de Taylor
Àrees temàtiques de la UPC::Aeronàutica i espai
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oai_identifier_str oai:upcommons.upc.edu:2117/384327
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spelling Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flowAltmeyer, Sebastian Andreas|||0000-0001-5964-0203Sankar, ManiDo, YounghaeTaylor vorticesTaylor-Couette flowRadial flowBifurcationNon-linear dynamicsComplex systemDirect numerical simulationVòrtexs de TaylorÀrees temàtiques de la UPC::Aeronàutica i espaiIn this study, the non-linear dynamics of Taylor–Couette flow in a very small-aspect-ratio wide-gap annulus in a counter-rotating regime under the influence of radial through-flow are investigated by solving its full three-dimensional Navier-Stokes equations. Depending on the intensity of the radial flow, either an axisymmetric (pure m = 0 mode) pulsating flow structure or an axisymmetric axially propagating vortex will appear subcritical, i.e. below the centrifugal instability threshold of the circular Couette flow. We show that the propagating vortices can be stably existed in two separate parameter regions, which feature different underlying dynamics. Although in one regime, the flow appears only as a limit cycle solution upon which saddle-node-invariant-circle bifurcation occurs, but in the other regime, it shows more complex dynamics with richer Hopf bifurcation sequences. That is, by presence of incommensurate frequencies, it can be appeared as 1-, 2- and 3-torus solutions, which is known as the Ruelle–Takens–Newhouse route to chaos. Therefore, the observed bifurcation scenario is the Ruelle-Takens-Newhouse route to chaos and the period doubling bifurcation, which exhibit rich and complex dynamics.Nature20222022-12-2120232023-02-28journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/384327https://dx.doi.org/10.1038/s41598-022-26645-6reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105162RB-I00 TURBULENCIA Y GRANDES ESTRUCTURAS COHERENTES DE LA CAPA LIMITE ATMOSFERICA: ASPECTOS FUNDAMENTALES PARA PARAMETRIZAR FORMACION DE NUBES Y PARA APLICACIONES DE ENERGIA EOLICA.open 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:2117/3843272026-05-27T15:37:01Z
dc.title.none.fl_str_mv Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flow
title Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flow
spellingShingle Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flow
Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
Taylor vortices
Taylor-Couette flow
Radial flow
Bifurcation
Non-linear dynamics
Complex system
Direct numerical simulation
Vòrtexs de Taylor
Àrees temàtiques de la UPC::Aeronàutica i espai
title_short Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flow
title_full Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flow
title_fullStr Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flow
title_full_unstemmed Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flow
title_sort Bifurcation phenomena in Taylor–Couette flow in a very short annulus with radial through-flow
dc.creator.none.fl_str_mv Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
Sankar, Mani
Do, Younghae
author Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
author_facet Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
Sankar, Mani
Do, Younghae
author_role author
author2 Sankar, Mani
Do, Younghae
author2_role author
author
dc.subject.none.fl_str_mv Taylor vortices
Taylor-Couette flow
Radial flow
Bifurcation
Non-linear dynamics
Complex system
Direct numerical simulation
Vòrtexs de Taylor
Àrees temàtiques de la UPC::Aeronàutica i espai
topic Taylor vortices
Taylor-Couette flow
Radial flow
Bifurcation
Non-linear dynamics
Complex system
Direct numerical simulation
Vòrtexs de Taylor
Àrees temàtiques de la UPC::Aeronàutica i espai
description In this study, the non-linear dynamics of Taylor–Couette flow in a very small-aspect-ratio wide-gap annulus in a counter-rotating regime under the influence of radial through-flow are investigated by solving its full three-dimensional Navier-Stokes equations. Depending on the intensity of the radial flow, either an axisymmetric (pure m = 0 mode) pulsating flow structure or an axisymmetric axially propagating vortex will appear subcritical, i.e. below the centrifugal instability threshold of the circular Couette flow. We show that the propagating vortices can be stably existed in two separate parameter regions, which feature different underlying dynamics. Although in one regime, the flow appears only as a limit cycle solution upon which saddle-node-invariant-circle bifurcation occurs, but in the other regime, it shows more complex dynamics with richer Hopf bifurcation sequences. That is, by presence of incommensurate frequencies, it can be appeared as 1-, 2- and 3-torus solutions, which is known as the Ruelle–Takens–Newhouse route to chaos. Therefore, the observed bifurcation scenario is the Ruelle-Takens-Newhouse route to chaos and the period doubling bifurcation, which exhibit rich and complex dynamics.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-12-21
2023
2023-02-28
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/384327
https://dx.doi.org/10.1038/s41598-022-26645-6
url https://hdl.handle.net/2117/384327
https://dx.doi.org/10.1038/s41598-022-26645-6
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105162RB-I00 TURBULENCIA Y GRANDES ESTRUCTURAS COHERENTES DE LA CAPA LIMITE ATMOSFERICA: ASPECTOS FUNDAMENTALES PARA PARAMETRIZAR FORMACION DE NUBES Y PARA APLICACIONES DE ENERGIA EOLICA.
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.publisher.none.fl_str_mv Nature
publisher.none.fl_str_mv Nature
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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