Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow

We investigate the local self-sustained process underlying spiral turbulence in counter-rotating Taylor–Couette flow using a periodic annular domain, shaped as a parallelogram, two of whose sides are aligned with the cylindrical helix described by the spiral pattern. The primary focus of the study i...

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Autores: Wang, Baoying, Ayats, Roger, Deguchi, Kengo, Mellibovsky Elstein, Fernando|||0000-0003-0497-9052, Meseguer Serrano, Álvaro|||0000-0002-2022-2001
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:2117/380462
Acceso en línea:https://hdl.handle.net/2117/380462
https://dx.doi.org/10.1017/jfm.2022.828
Access Level:acceso abierto
Palabra clave:Taylor vortices
Bifurcation theory
Taylor–Couette flow
Bifurcation
Intermittency
Vòrtexs de Taylor
Bifurcació, Teoria de la
Àrees temàtiques de la UPC::Física
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spelling Self-sustainment of coherent structures in counter-rotating Taylor-Couette flowWang, BaoyingAyats, RogerDeguchi, KengoMellibovsky Elstein, Fernando|||0000-0003-0497-9052Meseguer Serrano, Álvaro|||0000-0002-2022-2001Taylor vorticesBifurcation theoryTaylor–Couette flowBifurcationIntermittencyVòrtexs de TaylorBifurcació, Teoria de laÀrees temàtiques de la UPC::FísicaWe investigate the local self-sustained process underlying spiral turbulence in counter-rotating Taylor–Couette flow using a periodic annular domain, shaped as a parallelogram, two of whose sides are aligned with the cylindrical helix described by the spiral pattern. The primary focus of the study is placed on the emergence of drifting–rotating waves (DRW) that capture, in a relatively small domain, the main features of coherent structures typically observed in developed turbulence. The transitional dynamics of the subcritical region, far below the first instability of the laminar circular Couette flow, is determined by the upper and lower branches of DRW solutions originated at saddle-node bifurcations. The mechanism whereby these solutions self-sustain, and the chaotic dynamics they induce, are conspicuously reminiscent of other subcritical shear flows. Remarkably, the flow properties of DRW persist even as the Reynolds number is increased beyond the linear stability threshold of the base flow. Simulations in a narrow parallelogram domain stretched in the azimuthal direction to revolve around the apparatus a full turn confirm that self-sustained vortices eventually concentrate into a localised pattern. The resulting statistical steady state satisfactorily reproduces qualitatively, and to a certain degree also quantitatively, the topology and properties of spiral turbulence as calculated in a large periodic domain of sufficient aspect ratio that is representative of the real system.Cambridge University Press20222022-11-2520232023-01-13journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/380462https://dx.doi.org/10.1017/jfm.2022.828reponame: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:2117/3804622026-05-27T15:37:01Z
dc.title.none.fl_str_mv Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow
title Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow
spellingShingle Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow
Wang, Baoying
Taylor vortices
Bifurcation theory
Taylor–Couette flow
Bifurcation
Intermittency
Vòrtexs de Taylor
Bifurcació, Teoria de la
Àrees temàtiques de la UPC::Física
title_short Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow
title_full Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow
title_fullStr Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow
title_full_unstemmed Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow
title_sort Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow
dc.creator.none.fl_str_mv Wang, Baoying
Ayats, Roger
Deguchi, Kengo
Mellibovsky Elstein, Fernando|||0000-0003-0497-9052
Meseguer Serrano, Álvaro|||0000-0002-2022-2001
author Wang, Baoying
author_facet Wang, Baoying
Ayats, Roger
Deguchi, Kengo
Mellibovsky Elstein, Fernando|||0000-0003-0497-9052
Meseguer Serrano, Álvaro|||0000-0002-2022-2001
author_role author
author2 Ayats, Roger
Deguchi, Kengo
Mellibovsky Elstein, Fernando|||0000-0003-0497-9052
Meseguer Serrano, Álvaro|||0000-0002-2022-2001
author2_role author
author
author
author
dc.subject.none.fl_str_mv Taylor vortices
Bifurcation theory
Taylor–Couette flow
Bifurcation
Intermittency
Vòrtexs de Taylor
Bifurcació, Teoria de la
Àrees temàtiques de la UPC::Física
topic Taylor vortices
Bifurcation theory
Taylor–Couette flow
Bifurcation
Intermittency
Vòrtexs de Taylor
Bifurcació, Teoria de la
Àrees temàtiques de la UPC::Física
description We investigate the local self-sustained process underlying spiral turbulence in counter-rotating Taylor–Couette flow using a periodic annular domain, shaped as a parallelogram, two of whose sides are aligned with the cylindrical helix described by the spiral pattern. The primary focus of the study is placed on the emergence of drifting–rotating waves (DRW) that capture, in a relatively small domain, the main features of coherent structures typically observed in developed turbulence. The transitional dynamics of the subcritical region, far below the first instability of the laminar circular Couette flow, is determined by the upper and lower branches of DRW solutions originated at saddle-node bifurcations. The mechanism whereby these solutions self-sustain, and the chaotic dynamics they induce, are conspicuously reminiscent of other subcritical shear flows. Remarkably, the flow properties of DRW persist even as the Reynolds number is increased beyond the linear stability threshold of the base flow. Simulations in a narrow parallelogram domain stretched in the azimuthal direction to revolve around the apparatus a full turn confirm that self-sustained vortices eventually concentrate into a localised pattern. The resulting statistical steady state satisfactorily reproduces qualitatively, and to a certain degree also quantitatively, the topology and properties of spiral turbulence as calculated in a large periodic domain of sufficient aspect ratio that is representative of the real system.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-11-25
2023
2023-01-13
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/2117/380462
https://dx.doi.org/10.1017/jfm.2022.828
url https://hdl.handle.net/2117/380462
https://dx.doi.org/10.1017/jfm.2022.828
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.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
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_ 1869402897058365440
score 15.300724

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