Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flow

This paper investigates the impact of radial mass flux on Taylor-Couette flow in counter-rotating configuration, in which a Hopf bifurcation gives rise to branches of nontrivial solutions. Using direct numerical simulation we elucidate structures, dynamics, stability, and bifurcation behavior in qua...

Descripción completa

Detalles Bibliográficos
Autor: Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
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:2117/359368
Acceso en línea:https://hdl.handle.net/2117/359368
https://dx.doi.org/10.1103/PhysRevFluids.6.124802
Access Level:acceso abierto
Palabra clave:Vòrtexs de Taylor
Fluid Dynamics
Nonlinear Dynamics
Flow instability
Flow-structure interactions
Pattern formation
Taylor-Couette system
Taylor vortices
Àrees temàtiques de la UPC::Física::Física de fluids
id ES_ad221e4a62e5e53ca9be13db0fccfe56
oai_identifier_str oai:upcommons.upc.edu:2117/359368
network_acronym_str ES
network_name_str España
repository_id_str
spelling Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flowAltmeyer, Sebastian Andreas|||0000-0001-5964-0203Vòrtexs de TaylorFluid DynamicsNonlinear DynamicsFlow instabilityFlow-structure interactionsPattern formationTaylor-Couette systemTaylor vorticesÀrees temàtiques de la UPC::Física::Física de fluidsThis paper investigates the impact of radial mass flux on Taylor-Couette flow in counter-rotating configuration, in which a Hopf bifurcation gives rise to branches of nontrivial solutions. Using direct numerical simulation we elucidate structures, dynamics, stability, and bifurcation behavior in qualitative and quantitative detail as a function of inner Reynolds numbers (Rei) and radial mass flux (a) spanning a parameter space with a rich variety of solutions. Both radial inflow and strong radial outflow stabilize the system, whereas weak radial outflow has a strong destabilizing effect. We detected the existence of stable ribbons and mixed ribbons with low azimuthal wave number without symmetry restriction. In addition, ribbon solutions and mixed-ribbon solutions can be stable or unstable saddles. Furthermore, in the case of unstable saddles alternations between two different symmetrically related saddles generate different heteroclinic cycles. For alternating stationary (in comoving frame) ribbons the persistence time in one saddle decreases with distance from the onset. The persistence time for the heteroclinic cycle of alternating mixed ribbons shows a more complicated dependence with variation in control parameters and seems to follow an intermittency scenario of type III. Depending on whether the symmetrically related solutions are stationary or time-dependent, the heteroclinic connection can be either of oscillatory or nonoscillatory type.20212021-12-2020222022-01-11journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/359368https://dx.doi.org/10.1103/PhysRevFluids.6.124802reponame: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:2117/3593682026-05-27T15:37:01Z
dc.title.none.fl_str_mv Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flow
title Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flow
spellingShingle Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flow
Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
Vòrtexs de Taylor
Fluid Dynamics
Nonlinear Dynamics
Flow instability
Flow-structure interactions
Pattern formation
Taylor-Couette system
Taylor vortices
Àrees temàtiques de la UPC::Física::Física de fluids
title_short Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flow
title_full Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flow
title_fullStr Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flow
title_full_unstemmed Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flow
title_sort Flow dynamics between two concentric counter-rotating porous cylinders with radial through-flow
dc.creator.none.fl_str_mv Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
author Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
author_facet Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
author_role author
dc.subject.none.fl_str_mv Vòrtexs de Taylor
Fluid Dynamics
Nonlinear Dynamics
Flow instability
Flow-structure interactions
Pattern formation
Taylor-Couette system
Taylor vortices
Àrees temàtiques de la UPC::Física::Física de fluids
topic Vòrtexs de Taylor
Fluid Dynamics
Nonlinear Dynamics
Flow instability
Flow-structure interactions
Pattern formation
Taylor-Couette system
Taylor vortices
Àrees temàtiques de la UPC::Física::Física de fluids
description This paper investigates the impact of radial mass flux on Taylor-Couette flow in counter-rotating configuration, in which a Hopf bifurcation gives rise to branches of nontrivial solutions. Using direct numerical simulation we elucidate structures, dynamics, stability, and bifurcation behavior in qualitative and quantitative detail as a function of inner Reynolds numbers (Rei) and radial mass flux (a) spanning a parameter space with a rich variety of solutions. Both radial inflow and strong radial outflow stabilize the system, whereas weak radial outflow has a strong destabilizing effect. We detected the existence of stable ribbons and mixed ribbons with low azimuthal wave number without symmetry restriction. In addition, ribbon solutions and mixed-ribbon solutions can be stable or unstable saddles. Furthermore, in the case of unstable saddles alternations between two different symmetrically related saddles generate different heteroclinic cycles. For alternating stationary (in comoving frame) ribbons the persistence time in one saddle decreases with distance from the onset. The persistence time for the heteroclinic cycle of alternating mixed ribbons shows a more complicated dependence with variation in control parameters and seems to follow an intermittency scenario of type III. Depending on whether the symmetrically related solutions are stationary or time-dependent, the heteroclinic connection can be either of oscillatory or nonoscillatory type.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-12-20
2022
2022-01-11
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/2117/359368
https://dx.doi.org/10.1103/PhysRevFluids.6.124802
url https://hdl.handle.net/2117/359368
https://dx.doi.org/10.1103/PhysRevFluids.6.124802
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
_version_ 1869416414540988416
score 15,300724

Similares en LA Referencia