Mathematical method to characterize the inward solid state diffusion in cylindrical parts

Detalhes bibliográficos
Autor(a) principal: Barros,André dos Santos
Data de Publicação: 2016
Outros Autores: Ferreira,Ivaldo Leão, Moreira,Antonio Luciano Seabra
Tipo de documento: Artigo
Idioma: eng
Título da fonte: REM - International Engineering Journal
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2448-167X2016000300341
Resumo: Abstract This work presents an analytical method for the study of the solid state diffusion process in binary systems of two phases with cylindrical radial atomic flux. The method is developed from the differential equation that describes Fick's second law that is modified by geometric function and suitable changes of variables. The modified differential equation is solved by using a well-known closed form solution based on the error function, and then analytical equations are obtained to analyze the diffusion interface position as a function of time, and the concentration profiles as a function of time and position. The predictions provided by the analytical method are compared with numerical results.
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spelling Mathematical method to characterize the inward solid state diffusion in cylindrical partsSolid state diffusionanalytical methodnumerical methodphase changeAbstract This work presents an analytical method for the study of the solid state diffusion process in binary systems of two phases with cylindrical radial atomic flux. The method is developed from the differential equation that describes Fick's second law that is modified by geometric function and suitable changes of variables. The modified differential equation is solved by using a well-known closed form solution based on the error function, and then analytical equations are obtained to analyze the diffusion interface position as a function of time, and the concentration profiles as a function of time and position. The predictions provided by the analytical method are compared with numerical results.Fundação Gorceix2016-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2448-167X2016000300341REM - International Engineering Journal v.69 n.3 2016reponame:REM - International Engineering Journalinstname:Fundação Gorceix (FG)instacron:FG10.1590/0370-44672014690044info:eu-repo/semantics/openAccessBarros,André dos SantosFerreira,Ivaldo LeãoMoreira,Antonio Luciano Seabraeng2016-08-10T00:00:00Zoai:scielo:S2448-167X2016000300341Revistahttps://www.rem.com.br/?lang=pt-brPRIhttps://old.scielo.br/oai/scielo-oai.php||editor@rem.com.br2448-167X2448-167Xopendoar:2016-08-10T00:00REM - International Engineering Journal - Fundação Gorceix (FG)false
dc.title.none.fl_str_mv Mathematical method to characterize the inward solid state diffusion in cylindrical parts
title Mathematical method to characterize the inward solid state diffusion in cylindrical parts
spellingShingle Mathematical method to characterize the inward solid state diffusion in cylindrical parts
Barros,André dos Santos
Solid state diffusion
analytical method
numerical method
phase change
title_short Mathematical method to characterize the inward solid state diffusion in cylindrical parts
title_full Mathematical method to characterize the inward solid state diffusion in cylindrical parts
title_fullStr Mathematical method to characterize the inward solid state diffusion in cylindrical parts
title_full_unstemmed Mathematical method to characterize the inward solid state diffusion in cylindrical parts
title_sort Mathematical method to characterize the inward solid state diffusion in cylindrical parts
author Barros,André dos Santos
author_facet Barros,André dos Santos
Ferreira,Ivaldo Leão
Moreira,Antonio Luciano Seabra
author_role author
author2 Ferreira,Ivaldo Leão
Moreira,Antonio Luciano Seabra
author2_role author
author
dc.contributor.author.fl_str_mv Barros,André dos Santos
Ferreira,Ivaldo Leão
Moreira,Antonio Luciano Seabra
dc.subject.por.fl_str_mv Solid state diffusion
analytical method
numerical method
phase change
topic Solid state diffusion
analytical method
numerical method
phase change
description Abstract This work presents an analytical method for the study of the solid state diffusion process in binary systems of two phases with cylindrical radial atomic flux. The method is developed from the differential equation that describes Fick's second law that is modified by geometric function and suitable changes of variables. The modified differential equation is solved by using a well-known closed form solution based on the error function, and then analytical equations are obtained to analyze the diffusion interface position as a function of time, and the concentration profiles as a function of time and position. The predictions provided by the analytical method are compared with numerical results.
publishDate 2016
dc.date.none.fl_str_mv 2016-09-01
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=S2448-167X2016000300341
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2448-167X2016000300341
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0370-44672014690044
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 Fundação Gorceix
publisher.none.fl_str_mv Fundação Gorceix
dc.source.none.fl_str_mv REM - International Engineering Journal v.69 n.3 2016
reponame:REM - International Engineering Journal
instname:Fundação Gorceix (FG)
instacron:FG
instname_str Fundação Gorceix (FG)
instacron_str FG
institution FG
reponame_str REM - International Engineering Journal
collection REM - International Engineering Journal
repository.name.fl_str_mv REM - International Engineering Journal - Fundação Gorceix (FG)
repository.mail.fl_str_mv ||editor@rem.com.br
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