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...
| Authors: | , , , |
|---|---|
| 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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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/ |
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info:eu-repo/semantics/openAccess |
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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/ |
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openAccess |
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application/pdf |
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reponame:UPCommons. Portal del coneixement obert de la UPC instname:Universitat Politècnica de Catalunya (UPC) |
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Universitat Politècnica de Catalunya (UPC) |
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UPCommons. Portal del coneixement obert de la UPC |
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