Micro-macroscopic coupling in the cellular automaton model of solidification

Detalhes bibliográficos
Autor(a) principal: Biscuola,Vinicius Bertolazzi
Data de Publicação: 2010
Outros Autores: Martorano,Marcelo Aquino
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Materials research (São Carlos. Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392010000400010
Resumo: A cellular automaton (CA) model to predict the formation of grain macrostructure during solidification has been implemented and the coupling between the microscopic and the macroscopic submodels has been investigated. The microscopic submodel simulates the nucleation and growth of grains, whereas the macroscopic solves the heat conduction equation. The directional solidification of an Al-7 wt. (%) Si alloy was simulated, enabling the calculation of the temperature and solid fraction profiles. The calculated temperature was used to obtain the solid fraction profile by an application of Scheil equation. This solid fraction disagrees with that calculated in the micro-macro coupling of the model, although this coupling is completely based on Scheil equation. Careful examination of the discrepancies shows that it is a result of the undercoolings for nucleation and growth of grains and also of the interpolations of enthalpy change and temperature from the finite volume mesh to the CA cell mesh.
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spelling Micro-macroscopic coupling in the cellular automaton model of solidificationmathematical modelingcellular automatonsolidificationcouplingA cellular automaton (CA) model to predict the formation of grain macrostructure during solidification has been implemented and the coupling between the microscopic and the macroscopic submodels has been investigated. The microscopic submodel simulates the nucleation and growth of grains, whereas the macroscopic solves the heat conduction equation. The directional solidification of an Al-7 wt. (%) Si alloy was simulated, enabling the calculation of the temperature and solid fraction profiles. The calculated temperature was used to obtain the solid fraction profile by an application of Scheil equation. This solid fraction disagrees with that calculated in the micro-macro coupling of the model, although this coupling is completely based on Scheil equation. Careful examination of the discrepancies shows that it is a result of the undercoolings for nucleation and growth of grains and also of the interpolations of enthalpy change and temperature from the finite volume mesh to the CA cell mesh.ABM, ABC, ABPol2010-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392010000400010Materials Research v.13 n.4 2010reponame:Materials research (São Carlos. Online)instname:Universidade Federal de São Carlos (UFSCAR)instacron:ABM ABC ABPOL10.1590/S1516-14392010000400010info:eu-repo/semantics/openAccessBiscuola,Vinicius BertolazziMartorano,Marcelo Aquinoeng2011-01-24T00:00:00Zoai:scielo:S1516-14392010000400010Revistahttp://www.scielo.br/mrPUBhttps://old.scielo.br/oai/scielo-oai.phpdedz@power.ufscar.br1980-53731516-1439opendoar:2011-01-24T00:00Materials research (São Carlos. Online) - Universidade Federal de São Carlos (UFSCAR)false
dc.title.none.fl_str_mv Micro-macroscopic coupling in the cellular automaton model of solidification
title Micro-macroscopic coupling in the cellular automaton model of solidification
spellingShingle Micro-macroscopic coupling in the cellular automaton model of solidification
Biscuola,Vinicius Bertolazzi
mathematical modeling
cellular automaton
solidification
coupling
title_short Micro-macroscopic coupling in the cellular automaton model of solidification
title_full Micro-macroscopic coupling in the cellular automaton model of solidification
title_fullStr Micro-macroscopic coupling in the cellular automaton model of solidification
title_full_unstemmed Micro-macroscopic coupling in the cellular automaton model of solidification
title_sort Micro-macroscopic coupling in the cellular automaton model of solidification
author Biscuola,Vinicius Bertolazzi
author_facet Biscuola,Vinicius Bertolazzi
Martorano,Marcelo Aquino
author_role author
author2 Martorano,Marcelo Aquino
author2_role author
dc.contributor.author.fl_str_mv Biscuola,Vinicius Bertolazzi
Martorano,Marcelo Aquino
dc.subject.por.fl_str_mv mathematical modeling
cellular automaton
solidification
coupling
topic mathematical modeling
cellular automaton
solidification
coupling
description A cellular automaton (CA) model to predict the formation of grain macrostructure during solidification has been implemented and the coupling between the microscopic and the macroscopic submodels has been investigated. The microscopic submodel simulates the nucleation and growth of grains, whereas the macroscopic solves the heat conduction equation. The directional solidification of an Al-7 wt. (%) Si alloy was simulated, enabling the calculation of the temperature and solid fraction profiles. The calculated temperature was used to obtain the solid fraction profile by an application of Scheil equation. This solid fraction disagrees with that calculated in the micro-macro coupling of the model, although this coupling is completely based on Scheil equation. Careful examination of the discrepancies shows that it is a result of the undercoolings for nucleation and growth of grains and also of the interpolations of enthalpy change and temperature from the finite volume mesh to the CA cell mesh.
publishDate 2010
dc.date.none.fl_str_mv 2010-12-01
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=S1516-14392010000400010
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392010000400010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1516-14392010000400010
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 ABM, ABC, ABPol
publisher.none.fl_str_mv ABM, ABC, ABPol
dc.source.none.fl_str_mv Materials Research v.13 n.4 2010
reponame:Materials research (São Carlos. Online)
instname:Universidade Federal de São Carlos (UFSCAR)
instacron:ABM ABC ABPOL
instname_str Universidade Federal de São Carlos (UFSCAR)
instacron_str ABM ABC ABPOL
institution ABM ABC ABPOL
reponame_str Materials research (São Carlos. Online)
collection Materials research (São Carlos. Online)
repository.name.fl_str_mv Materials research (São Carlos. Online) - Universidade Federal de São Carlos (UFSCAR)
repository.mail.fl_str_mv dedz@power.ufscar.br
_version_ 1754212659706724352

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