Vortex merging and splitting events in viscoelastic Taylor-Couette flow

Recent experiments have reported a novel transition to elasto-inertial turbulence in the Taylor–Couette flow of a dilute polymer solution. Unlike previously reported transitions, this newly discovered scenario, dubbed vortex merging and splitting (VMS) transition, occurs in the centrifugally unstabl...

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Autor: López Alonso, José Manuel|||0000-0002-0384-2022
Tipo de recurso: artículo
Fecha de publicación:2022
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:2117/374665
Acceso en línea:https://hdl.handle.net/2117/374665
https://dx.doi.org/10.1017/jfm.2022.579
Access Level:acceso abierto
Palabra clave:Taylor vortices
Viscoelasticity
Taylor–Couette flow
Transition to turbulence
Vòrtexs de Taylor
Viscoelasticitat
Àrees temàtiques de la UPC::Física
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spelling Vortex merging and splitting events in viscoelastic Taylor-Couette flowLópez Alonso, José Manuel|||0000-0002-0384-2022Taylor vorticesViscoelasticityTaylor–Couette flowTransition to turbulenceViscoelasticityVòrtexs de TaylorViscoelasticitatÀrees temàtiques de la UPC::FísicaRecent experiments have reported a novel transition to elasto-inertial turbulence in the Taylor–Couette flow of a dilute polymer solution. Unlike previously reported transitions, this newly discovered scenario, dubbed vortex merging and splitting (VMS) transition, occurs in the centrifugally unstable regime and the mechanisms underlying it are two-dimensional: the flow becomes chaotic due to the proliferation of events where axisymmetric vortex pairs may be either created (vortex splitting) or annihilated (vortex merging). In this paper, we present direct numerical simulations, using the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive equation to model the polymer dynamics, which reproduce the experimental observations with great accuracy and elucidate the reasons for the onset of this surprising dynamics. Starting from the Newtonian limit and increasing progressively the fluid's elasticity, we demonstrate that the VMS dynamics is not associated with the well-known Taylor vortices, but with a steady pattern of elastically induced axisymmetric vortex pairs known as diwhirls. The amount of angular momentum carried by these elastic vortices becomes increasingly small as the fluid's elasticity increases and it eventually reaches a marginal level. When this occurs, the diwhirls become dynamically disconnected from the rest of the system and move independently from each other in the axial direction. It is shown that vortex merging and splitting events, along with local transient chaotic dynamics, result from the interactions among diwhirls, and that this complex spatio-temporal dynamics persists even at elasticity levels twice as large as those investigated experimentally.20222022-09-1020222022-10-19journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/374665https://dx.doi.org/10.1017/jfm.2022.579reponame: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:2117/3746652026-05-27T15:37:01Z
dc.title.none.fl_str_mv Vortex merging and splitting events in viscoelastic Taylor-Couette flow
title Vortex merging and splitting events in viscoelastic Taylor-Couette flow
spellingShingle Vortex merging and splitting events in viscoelastic Taylor-Couette flow
López Alonso, José Manuel|||0000-0002-0384-2022
Taylor vortices
Viscoelasticity
Taylor–Couette flow
Transition to turbulence
Viscoelasticity
Vòrtexs de Taylor
Viscoelasticitat
Àrees temàtiques de la UPC::Física
title_short Vortex merging and splitting events in viscoelastic Taylor-Couette flow
title_full Vortex merging and splitting events in viscoelastic Taylor-Couette flow
title_fullStr Vortex merging and splitting events in viscoelastic Taylor-Couette flow
title_full_unstemmed Vortex merging and splitting events in viscoelastic Taylor-Couette flow
title_sort Vortex merging and splitting events in viscoelastic Taylor-Couette flow
dc.creator.none.fl_str_mv López Alonso, José Manuel|||0000-0002-0384-2022
author López Alonso, José Manuel|||0000-0002-0384-2022
author_facet López Alonso, José Manuel|||0000-0002-0384-2022
author_role author
dc.subject.none.fl_str_mv Taylor vortices
Viscoelasticity
Taylor–Couette flow
Transition to turbulence
Viscoelasticity
Vòrtexs de Taylor
Viscoelasticitat
Àrees temàtiques de la UPC::Física
topic Taylor vortices
Viscoelasticity
Taylor–Couette flow
Transition to turbulence
Viscoelasticity
Vòrtexs de Taylor
Viscoelasticitat
Àrees temàtiques de la UPC::Física
description Recent experiments have reported a novel transition to elasto-inertial turbulence in the Taylor–Couette flow of a dilute polymer solution. Unlike previously reported transitions, this newly discovered scenario, dubbed vortex merging and splitting (VMS) transition, occurs in the centrifugally unstable regime and the mechanisms underlying it are two-dimensional: the flow becomes chaotic due to the proliferation of events where axisymmetric vortex pairs may be either created (vortex splitting) or annihilated (vortex merging). In this paper, we present direct numerical simulations, using the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive equation to model the polymer dynamics, which reproduce the experimental observations with great accuracy and elucidate the reasons for the onset of this surprising dynamics. Starting from the Newtonian limit and increasing progressively the fluid's elasticity, we demonstrate that the VMS dynamics is not associated with the well-known Taylor vortices, but with a steady pattern of elastically induced axisymmetric vortex pairs known as diwhirls. The amount of angular momentum carried by these elastic vortices becomes increasingly small as the fluid's elasticity increases and it eventually reaches a marginal level. When this occurs, the diwhirls become dynamically disconnected from the rest of the system and move independently from each other in the axial direction. It is shown that vortex merging and splitting events, along with local transient chaotic dynamics, result from the interactions among diwhirls, and that this complex spatio-temporal dynamics persists even at elasticity levels twice as large as those investigated experimentally.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-09-10
2022
2022-10-19
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/2117/374665
https://dx.doi.org/10.1017/jfm.2022.579
url https://hdl.handle.net/2117/374665
https://dx.doi.org/10.1017/jfm.2022.579
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
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.228081

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