One-Dimensional Nonlinear Stefan Problems in Storm's Materials

Autores
Briozzo, Adriana Clotilde; Natale, María Fernanda
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider two one-phase nonlinear one-dimensional Stefan problems for a semi-infinite material x > 0; with phase change temperature Tf : We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. In the first case, we assume a heat flux boundary condition of the type q(t) =q0t√ , and in the second case, we assume a temperature boundary condition T = Ts < Tf at the fixed face. Solutions of similarity type are obtained in both cases, and the equivalence of the two problems is demonstrated. We also give procedures in order to compute the explicit solution.
Fil: Briozzo, Adriana Clotilde. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Natale, María Fernanda. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
STEFAN PROBLEM
FREE BOUNDARY PROBLEM
PHASE-CHANGE PROCESS
SIMILARITY SOLUTION
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:11336/49996
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/49996
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling One-Dimensional Nonlinear Stefan Problems in Storm's MaterialsBriozzo, Adriana ClotildeNatale, María FernandaSTEFAN PROBLEMFREE BOUNDARY PROBLEMPHASE-CHANGE PROCESSSIMILARITY SOLUTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider two one-phase nonlinear one-dimensional Stefan problems for a semi-infinite material x > 0; with phase change temperature Tf : We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. In the first case, we assume a heat flux boundary condition of the type q(t) =q0t√ , and in the second case, we assume a temperature boundary condition T = Ts < Tf at the fixed face. Solutions of similarity type are obtained in both cases, and the equivalence of the two problems is demonstrated. We also give procedures in order to compute the explicit solution.Fil: Briozzo, Adriana Clotilde. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Natale, María Fernanda. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaMDPI2014-01info: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/11336/49996Briozzo, Adriana Clotilde; Natale, María Fernanda; One-Dimensional Nonlinear Stefan Problems in Storm's Materials; MDPI; Mathematics; 2; 1; 1-2014; 1-112227-7390CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3390/math2010001info:eu-repo/semantics/altIdentifier/url/http://www.mdpi.com/2227-7390/2/1/1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:05:37Zoai:ri.conicet.gov.ar:11336/49996instacron: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:34982025-09-03 10:05:37.293CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv One-Dimensional Nonlinear Stefan Problems in Storm's Materials
title One-Dimensional Nonlinear Stefan Problems in Storm's Materials
spellingShingle One-Dimensional Nonlinear Stefan Problems in Storm's Materials
Briozzo, Adriana Clotilde
STEFAN PROBLEM
FREE BOUNDARY PROBLEM
PHASE-CHANGE PROCESS
SIMILARITY SOLUTION
title_short One-Dimensional Nonlinear Stefan Problems in Storm's Materials
title_full One-Dimensional Nonlinear Stefan Problems in Storm's Materials
title_fullStr One-Dimensional Nonlinear Stefan Problems in Storm's Materials
title_full_unstemmed One-Dimensional Nonlinear Stefan Problems in Storm's Materials
title_sort One-Dimensional Nonlinear Stefan Problems in Storm's Materials
dc.creator.none.fl_str_mv Briozzo, Adriana Clotilde
Natale, María Fernanda
author Briozzo, Adriana Clotilde
author_facet Briozzo, Adriana Clotilde
Natale, María Fernanda
author_role author
author2 Natale, María Fernanda
author2_role author
dc.subject.none.fl_str_mv STEFAN PROBLEM
FREE BOUNDARY PROBLEM
PHASE-CHANGE PROCESS
SIMILARITY SOLUTION
topic STEFAN PROBLEM
FREE BOUNDARY PROBLEM
PHASE-CHANGE PROCESS
SIMILARITY SOLUTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider two one-phase nonlinear one-dimensional Stefan problems for a semi-infinite material x > 0; with phase change temperature Tf : We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. In the first case, we assume a heat flux boundary condition of the type q(t) =q0t√ , and in the second case, we assume a temperature boundary condition T = Ts < Tf at the fixed face. Solutions of similarity type are obtained in both cases, and the equivalence of the two problems is demonstrated. We also give procedures in order to compute the explicit solution.
Fil: Briozzo, Adriana Clotilde. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Natale, María Fernanda. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We consider two one-phase nonlinear one-dimensional Stefan problems for a semi-infinite material x > 0; with phase change temperature Tf : We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. In the first case, we assume a heat flux boundary condition of the type q(t) =q0t√ , and in the second case, we assume a temperature boundary condition T = Ts < Tf at the fixed face. Solutions of similarity type are obtained in both cases, and the equivalence of the two problems is demonstrated. We also give procedures in order to compute the explicit solution.
publishDate 2014
dc.date.none.fl_str_mv 2014-01
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/11336/49996
Briozzo, Adriana Clotilde; Natale, María Fernanda; One-Dimensional Nonlinear Stefan Problems in Storm's Materials; MDPI; Mathematics; 2; 1; 1-2014; 1-11
2227-7390
CONICET Digital
CONICET
url http://hdl.handle.net/11336/49996
identifier_str_mv Briozzo, Adriana Clotilde; Natale, María Fernanda; One-Dimensional Nonlinear Stefan Problems in Storm's Materials; MDPI; Mathematics; 2; 1; 1-2014; 1-11
2227-7390
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/math2010001
info:eu-repo/semantics/altIdentifier/url/http://www.mdpi.com/2227-7390/2/1/1
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 MDPI
publisher.none.fl_str_mv MDPI
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
_version_ 1842269919533596672
score 13.13397

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