Macroscopic modeling of columnar dendritic solidification
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Computational & Applied Mathematics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200015 |
Resumo: | This paper deals with the derivation of a macroscopic model for columnar dendritic solidification of binary mixtures using the volume averaging method with closure. The main originalities of the model are first related to the explicit description of evolving heterogeneities of the dendritic structures and their consequences on the derivation of averaged conservation equations, where additional terms involving porosity gradients are present, and on the determination of effective transport properties. These average properties are defined by the associated closure problems taking into account the geometry of the dendrites and the local intensity of the flow. The macroscopic solute transport is obtained by considering macroscale non-equilibrium giving rise to macroscopic dispersion and interfacial exchange phenomena. Mass exchange coefficients are accurately explicited as a function of the local geometry. |
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Macroscopic modeling of columnar dendritic solidificationcolumnar solidificationmacroscopic modelvolume averagingclosure problemsThis paper deals with the derivation of a macroscopic model for columnar dendritic solidification of binary mixtures using the volume averaging method with closure. The main originalities of the model are first related to the explicit description of evolving heterogeneities of the dendritic structures and their consequences on the derivation of averaged conservation equations, where additional terms involving porosity gradients are present, and on the determination of effective transport properties. These average properties are defined by the associated closure problems taking into account the geometry of the dendrites and the local intensity of the flow. The macroscopic solute transport is obtained by considering macroscale non-equilibrium giving rise to macroscopic dispersion and interfacial exchange phenomena. Mass exchange coefficients are accurately explicited as a function of the local geometry.Sociedade Brasileira de Matemática Aplicada e Computacional2004-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200015Computational & Applied Mathematics v.23 n.2-3 2004reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessGoyeau,B.Bousquet-Melou,P.Gobin,D.Quintard,M.Fichot,F.eng2005-07-11T00:00:00Zoai:scielo:S1807-03022004000200015Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2005-07-11T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false |
dc.title.none.fl_str_mv |
Macroscopic modeling of columnar dendritic solidification |
title |
Macroscopic modeling of columnar dendritic solidification |
spellingShingle |
Macroscopic modeling of columnar dendritic solidification Goyeau,B. columnar solidification macroscopic model volume averaging closure problems |
title_short |
Macroscopic modeling of columnar dendritic solidification |
title_full |
Macroscopic modeling of columnar dendritic solidification |
title_fullStr |
Macroscopic modeling of columnar dendritic solidification |
title_full_unstemmed |
Macroscopic modeling of columnar dendritic solidification |
title_sort |
Macroscopic modeling of columnar dendritic solidification |
author |
Goyeau,B. |
author_facet |
Goyeau,B. Bousquet-Melou,P. Gobin,D. Quintard,M. Fichot,F. |
author_role |
author |
author2 |
Bousquet-Melou,P. Gobin,D. Quintard,M. Fichot,F. |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Goyeau,B. Bousquet-Melou,P. Gobin,D. Quintard,M. Fichot,F. |
dc.subject.por.fl_str_mv |
columnar solidification macroscopic model volume averaging closure problems |
topic |
columnar solidification macroscopic model volume averaging closure problems |
description |
This paper deals with the derivation of a macroscopic model for columnar dendritic solidification of binary mixtures using the volume averaging method with closure. The main originalities of the model are first related to the explicit description of evolving heterogeneities of the dendritic structures and their consequences on the derivation of averaged conservation equations, where additional terms involving porosity gradients are present, and on the determination of effective transport properties. These average properties are defined by the associated closure problems taking into account the geometry of the dendrites and the local intensity of the flow. The macroscopic solute transport is obtained by considering macroscale non-equilibrium giving rise to macroscopic dispersion and interfacial exchange phenomena. Mass exchange coefficients are accurately explicited as a function of the local geometry. |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004-12-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200015 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000200015 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
dc.source.none.fl_str_mv |
Computational & Applied Mathematics v.23 n.2-3 2004 reponame:Computational & Applied Mathematics instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) |
instacron_str |
SBMAC |
institution |
SBMAC |
reponame_str |
Computational & Applied Mathematics |
collection |
Computational & Applied Mathematics |
repository.name.fl_str_mv |
Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) |
repository.mail.fl_str_mv |
||sbmac@sbmac.org.br |
_version_ |
1754734889717989376 |