Travelling convectons in binary fluid convection

Binary fluid mixtures with a negative separation ratio heated from below exhibit steady spatially localized states called convectons for supercritical Rayleigh numbers. With no-slip, fixed-temperature, no-mass-flux boundary conditions at the top and bottom stationary odd- and even-parity convectons...

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Authors: Mercader Calvo, María Isabel|||0000-0002-0749-0263, Batiste Boleda, Oriol|||0000-0003-0904-6323, Alonso Maleta, María Aránzazu|||0000-0002-7228-8539, Knobloch, Edgar
Format: article
Publication Date:2013
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/19541
Online Access:https://hdl.handle.net/2117/19541
https://dx.doi.org/10.1017/jfm.2013.77
Access Level:Open access
Keyword:Pattern formation (Physical sciences)
Heat--Convection
Convection (Astrophysics)
buoyancy-driven instability
double diffusive convection
pattern formation
Reconeixement de formes (Informàtica)
Calor -- Convecció
Convecció (Física)
Àrees temàtiques de la UPC::Física
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repository_id_str
spelling Travelling convectons in binary fluid convectionMercader Calvo, María Isabel|||0000-0002-0749-0263Batiste Boleda, Oriol|||0000-0003-0904-6323Alonso Maleta, María Aránzazu|||0000-0002-7228-8539Knobloch, EdgarPattern formation (Physical sciences)Heat--ConvectionConvection (Astrophysics)buoyancy-driven instabilitydouble diffusive convectionpattern formationReconeixement de formes (Informàtica)Calor -- ConveccióConvecció (Física)Àrees temàtiques de la UPC::FísicaBinary fluid mixtures with a negative separation ratio heated from below exhibit steady spatially localized states called convectons for supercritical Rayleigh numbers. With no-slip, fixed-temperature, no-mass-flux boundary conditions at the top and bottom stationary odd- and even-parity convectons fall on a pair of intertwined branches connected by branches of travelling asymmetric states. In appropriate parameter regimes the stationary convectons may be stable. When the boundary condition on the top is changed to Newton’s law of cooling the odd-parity convectons start to drift and the branch of odd-parity convectons breaks up and reconnects with the branches of asymmetric states. We explore the dependence of these changes and of the resulting drift speed on the associated Biot number using numerical continuation, and compare and contrast the results with a related study of the Swift–Hohenberg equation by Houghton & Knobloch (Phys. Rev. E, vol. 84, 2011, art. 016204). We use the results to identify stable drifting convectons and employ direct numerical simulations to study collisions between them. The collisions are highly inelastic, and result in convectons whose length exceeds the sum of the lengths of the colliding convectons.20132013-05-0120132013-06-12journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/19541https://dx.doi.org/10.1017/jfm.2013.77reponame: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:2117/195412026-05-27T15:37:01Z
dc.title.none.fl_str_mv Travelling convectons in binary fluid convection
title Travelling convectons in binary fluid convection
spellingShingle Travelling convectons in binary fluid convection
Mercader Calvo, María Isabel|||0000-0002-0749-0263
Pattern formation (Physical sciences)
Heat--Convection
Convection (Astrophysics)
buoyancy-driven instability
double diffusive convection
pattern formation
Reconeixement de formes (Informàtica)
Calor -- Convecció
Convecció (Física)
Àrees temàtiques de la UPC::Física
title_short Travelling convectons in binary fluid convection
title_full Travelling convectons in binary fluid convection
title_fullStr Travelling convectons in binary fluid convection
title_full_unstemmed Travelling convectons in binary fluid convection
title_sort Travelling convectons in binary fluid convection
dc.creator.none.fl_str_mv Mercader Calvo, María Isabel|||0000-0002-0749-0263
Batiste Boleda, Oriol|||0000-0003-0904-6323
Alonso Maleta, María Aránzazu|||0000-0002-7228-8539
Knobloch, Edgar
author Mercader Calvo, María Isabel|||0000-0002-0749-0263
author_facet Mercader Calvo, María Isabel|||0000-0002-0749-0263
Batiste Boleda, Oriol|||0000-0003-0904-6323
Alonso Maleta, María Aránzazu|||0000-0002-7228-8539
Knobloch, Edgar
author_role author
author2 Batiste Boleda, Oriol|||0000-0003-0904-6323
Alonso Maleta, María Aránzazu|||0000-0002-7228-8539
Knobloch, Edgar
author2_role author
author
author
dc.subject.none.fl_str_mv Pattern formation (Physical sciences)
Heat--Convection
Convection (Astrophysics)
buoyancy-driven instability
double diffusive convection
pattern formation
Reconeixement de formes (Informàtica)
Calor -- Convecció
Convecció (Física)
Àrees temàtiques de la UPC::Física
topic Pattern formation (Physical sciences)
Heat--Convection
Convection (Astrophysics)
buoyancy-driven instability
double diffusive convection
pattern formation
Reconeixement de formes (Informàtica)
Calor -- Convecció
Convecció (Física)
Àrees temàtiques de la UPC::Física
description Binary fluid mixtures with a negative separation ratio heated from below exhibit steady spatially localized states called convectons for supercritical Rayleigh numbers. With no-slip, fixed-temperature, no-mass-flux boundary conditions at the top and bottom stationary odd- and even-parity convectons fall on a pair of intertwined branches connected by branches of travelling asymmetric states. In appropriate parameter regimes the stationary convectons may be stable. When the boundary condition on the top is changed to Newton’s law of cooling the odd-parity convectons start to drift and the branch of odd-parity convectons breaks up and reconnects with the branches of asymmetric states. We explore the dependence of these changes and of the resulting drift speed on the associated Biot number using numerical continuation, and compare and contrast the results with a related study of the Swift–Hohenberg equation by Houghton & Knobloch (Phys. Rev. E, vol. 84, 2011, art. 016204). We use the results to identify stable drifting convectons and employ direct numerical simulations to study collisions between them. The collisions are highly inelastic, and result in convectons whose length exceeds the sum of the lengths of the colliding convectons.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-05-01
2013
2013-06-12
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/2117/19541
https://dx.doi.org/10.1017/jfm.2013.77
url https://hdl.handle.net/2117/19541
https://dx.doi.org/10.1017/jfm.2013.77
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
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