Side-branch growth in two-dimensional dendrits. Part II: Phase-field model

The development of side-branching in solidifying dendrites in a regime of large values of the Peclet number is studied by means of a phase-field model. We have compared our numerical results with experiments of the preceding paper and we obtain good qualitative agreement. The growth rate of each sid...

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Detalles Bibliográficos
Autores: Couder, Yves, González Cinca, Ricard, Hernández Machado, Aurora
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18751
Acceso en línea:https://hdl.handle.net/2445/18751
Access Level:acceso abierto
Palabra clave:Dinàmica de fluids
Equacions en derivades parcials
Solidificació
Fluid dynamics
Partial differential equations
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spelling Side-branch growth in two-dimensional dendrits. Part II: Phase-field modelCouder, YvesGonzález Cinca, RicardHernández Machado, AuroraDinàmica de fluidsEquacions en derivades parcialsSolidificacióFluid dynamicsPartial differential equationsThe development of side-branching in solidifying dendrites in a regime of large values of the Peclet number is studied by means of a phase-field model. We have compared our numerical results with experiments of the preceding paper and we obtain good qualitative agreement. The growth rate of each side branch shows a power-law behavior from the early stages of its life. From their birth, branches which finally succeed in the competition process of side-branching development have a greater growth exponent than branches which are stopped. Coarsening of branches is entirely defined by their geometrical position relative to their dominant neighbors. The winner branches escape from the diffusive field of the main dendrite and become independent dendrites.The American Physical Society2005info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/18751Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.71.05160Physical Review E, 2005, vol. E71, p. 051601-1-051601-7http://dx.doi.org/10.1103/PhysRevE.71.05160(c) The American Physical Society, 2005info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/187512026-05-27T06:46:51Z
dc.title.none.fl_str_mv Side-branch growth in two-dimensional dendrits. Part II: Phase-field model
title Side-branch growth in two-dimensional dendrits. Part II: Phase-field model
spellingShingle Side-branch growth in two-dimensional dendrits. Part II: Phase-field model
Couder, Yves
Dinàmica de fluids
Equacions en derivades parcials
Solidificació
Fluid dynamics
Partial differential equations
title_short Side-branch growth in two-dimensional dendrits. Part II: Phase-field model
title_full Side-branch growth in two-dimensional dendrits. Part II: Phase-field model
title_fullStr Side-branch growth in two-dimensional dendrits. Part II: Phase-field model
title_full_unstemmed Side-branch growth in two-dimensional dendrits. Part II: Phase-field model
title_sort Side-branch growth in two-dimensional dendrits. Part II: Phase-field model
dc.creator.none.fl_str_mv Couder, Yves
González Cinca, Ricard
Hernández Machado, Aurora
author Couder, Yves
author_facet Couder, Yves
González Cinca, Ricard
Hernández Machado, Aurora
author_role author
author2 González Cinca, Ricard
Hernández Machado, Aurora
author2_role author
author
dc.subject.none.fl_str_mv Dinàmica de fluids
Equacions en derivades parcials
Solidificació
Fluid dynamics
Partial differential equations
topic Dinàmica de fluids
Equacions en derivades parcials
Solidificació
Fluid dynamics
Partial differential equations
description The development of side-branching in solidifying dendrites in a regime of large values of the Peclet number is studied by means of a phase-field model. We have compared our numerical results with experiments of the preceding paper and we obtain good qualitative agreement. The growth rate of each side branch shows a power-law behavior from the early stages of its life. From their birth, branches which finally succeed in the competition process of side-branching development have a greater growth exponent than branches which are stopped. Coarsening of branches is entirely defined by their geometrical position relative to their dominant neighbors. The winner branches escape from the diffusive field of the main dendrite and become independent dendrites.
publishDate 2005
dc.date.none.fl_str_mv 2005
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/18751
url https://hdl.handle.net/2445/18751
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.71.05160
Physical Review E, 2005, vol. E71, p. 051601-1-051601-7
http://dx.doi.org/10.1103/PhysRevE.71.05160
dc.rights.none.fl_str_mv (c) The American Physical Society, 2005
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 2005
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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