Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions

Autores
Salva, Natalia Nieves; Tarzia, Domingo Alberto
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In Voller, Swenson and Paola, [V.R. Voller, J.B. Swenson, C. Paola, An analytical solution for a Stefan problem with variable latent heat, Int. J. Heat Mass Transfer, 47 (2004) 5387-5390], and Lorenzo-Trueba and Voller, [J. Lorenzo-Trueba, V.R. Voller, Analytical and numerical solution of a generalized Stefan problem exhibiting two moving boundaries with application to ocean delta formation”, J. Math. Anal. Appl., 366 (2010) 538-549], a model associated with the formation of sedimentary ocean deltas is studied through a one-phase Stefan-like problem with variable latent heat. Motivated by these works, we consider a two-phase Stefan problem with variable latent of fusion and initial temperature, and constant heat flux boundary conditions. We obtain the sufficient condition on the data in order to have an explicit solution of a similarity type of the corresponding free boundary problem for a semi-infinite material. Moreover, the explicit solution given in the first quoted paper can be recovered for a particular case by taking a null heat flux condition at the infinity.
Fil: Salva, Natalia Nieves. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Materia
Stefan problem
Explicit solution
variable latent heat
constant heat flux
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/280984
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditionsSalva, Natalia NievesTarzia, Domingo AlbertoStefan problemExplicit solutionvariable latent heatconstant heat fluxhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In Voller, Swenson and Paola, [V.R. Voller, J.B. Swenson, C. Paola, An analytical solution for a Stefan problem with variable latent heat, Int. J. Heat Mass Transfer, 47 (2004) 5387-5390], and Lorenzo-Trueba and Voller, [J. Lorenzo-Trueba, V.R. Voller, Analytical and numerical solution of a generalized Stefan problem exhibiting two moving boundaries with application to ocean delta formation”, J. Math. Anal. Appl., 366 (2010) 538-549], a model associated with the formation of sedimentary ocean deltas is studied through a one-phase Stefan-like problem with variable latent heat. Motivated by these works, we consider a two-phase Stefan problem with variable latent of fusion and initial temperature, and constant heat flux boundary conditions. We obtain the sufficient condition on the data in order to have an explicit solution of a similarity type of the corresponding free boundary problem for a semi-infinite material. Moreover, the explicit solution given in the first quoted paper can be recovered for a particular case by taking a null heat flux condition at the infinity.Fil: Salva, Natalia Nieves. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaAcademic Press Inc Elsevier Science2011-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/280984Salva, Natalia Nieves; Tarzia, Domingo Alberto; Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 379; 1; 3-2011; 240-2440022-247XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X10010565info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2010.12.039info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-11T12:44:47Zoai:ri.conicet.gov.ar:11336/280984instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-02-11 12:44:48.237CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
title Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
spellingShingle Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
Salva, Natalia Nieves
Stefan problem
Explicit solution
variable latent heat
constant heat flux
title_short Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
title_full Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
title_fullStr Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
title_full_unstemmed Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
title_sort Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
dc.creator.none.fl_str_mv Salva, Natalia Nieves
Tarzia, Domingo Alberto
author Salva, Natalia Nieves
author_facet Salva, Natalia Nieves
Tarzia, Domingo Alberto
author_role author
author2 Tarzia, Domingo Alberto
author2_role author
dc.subject.none.fl_str_mv Stefan problem
Explicit solution
variable latent heat
constant heat flux
topic Stefan problem
Explicit solution
variable latent heat
constant heat flux
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In Voller, Swenson and Paola, [V.R. Voller, J.B. Swenson, C. Paola, An analytical solution for a Stefan problem with variable latent heat, Int. J. Heat Mass Transfer, 47 (2004) 5387-5390], and Lorenzo-Trueba and Voller, [J. Lorenzo-Trueba, V.R. Voller, Analytical and numerical solution of a generalized Stefan problem exhibiting two moving boundaries with application to ocean delta formation”, J. Math. Anal. Appl., 366 (2010) 538-549], a model associated with the formation of sedimentary ocean deltas is studied through a one-phase Stefan-like problem with variable latent heat. Motivated by these works, we consider a two-phase Stefan problem with variable latent of fusion and initial temperature, and constant heat flux boundary conditions. We obtain the sufficient condition on the data in order to have an explicit solution of a similarity type of the corresponding free boundary problem for a semi-infinite material. Moreover, the explicit solution given in the first quoted paper can be recovered for a particular case by taking a null heat flux condition at the infinity.
Fil: Salva, Natalia Nieves. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
description In Voller, Swenson and Paola, [V.R. Voller, J.B. Swenson, C. Paola, An analytical solution for a Stefan problem with variable latent heat, Int. J. Heat Mass Transfer, 47 (2004) 5387-5390], and Lorenzo-Trueba and Voller, [J. Lorenzo-Trueba, V.R. Voller, Analytical and numerical solution of a generalized Stefan problem exhibiting two moving boundaries with application to ocean delta formation”, J. Math. Anal. Appl., 366 (2010) 538-549], a model associated with the formation of sedimentary ocean deltas is studied through a one-phase Stefan-like problem with variable latent heat. Motivated by these works, we consider a two-phase Stefan problem with variable latent of fusion and initial temperature, and constant heat flux boundary conditions. We obtain the sufficient condition on the data in order to have an explicit solution of a similarity type of the corresponding free boundary problem for a semi-infinite material. Moreover, the explicit solution given in the first quoted paper can be recovered for a particular case by taking a null heat flux condition at the infinity.
publishDate 2011
dc.date.none.fl_str_mv 2011-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/280984
Salva, Natalia Nieves; Tarzia, Domingo Alberto; Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 379; 1; 3-2011; 240-244
0022-247X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/280984
identifier_str_mv Salva, Natalia Nieves; Tarzia, Domingo Alberto; Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 379; 1; 3-2011; 240-244
0022-247X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X10010565
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2010.12.039
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.930639

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