Nonlinear Stefan problem with convective boundary condition in Storm’s materials

Autores
Briozzo, Adriana Clotilde; Natale, María Fernanda
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider a nonlinear one-dimensional Stefan problem for a semi-infinite material x > 0, with phase change temperature T f . We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition, and we assume a convective boundary condition at the fixed face x = 0. A unique explicit solution of similarity type is obtained. Moreover, asymptotic behavior of the solution when h→+∞ is studied.
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
FREE BOUNDARY PROBLEM
PHASE CHANGE PROCESS
SIMILARITY SOLUTION
STEFAN PROBLEM
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:11336/52477
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/52477
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Nonlinear Stefan problem with convective boundary condition in Storm’s materialsBriozzo, Adriana ClotildeNatale, María FernandaFREE BOUNDARY PROBLEMPHASE CHANGE PROCESSSIMILARITY SOLUTIONSTEFAN PROBLEMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider a nonlinear one-dimensional Stefan problem for a semi-infinite material x > 0, with phase change temperature T f . We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition, and we assume a convective boundary condition at the fixed face x = 0. A unique explicit solution of similarity type is obtained. Moreover, asymptotic behavior of the solution when h→+∞ is studied.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; ArgentinaSpringer2016-04info: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/11336/52477Briozzo, Adriana Clotilde; Natale, María Fernanda; Nonlinear Stefan problem with convective boundary condition in Storm’s materials; Springer; Zeitschrift Fur Angewandte Mathematik Und Physik; 67; 2; 4-2016; 1-110044-22751420-9039CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00033-015-0615-xinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00033-015-0615-xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:04:21Zoai:ri.conicet.gov.ar:11336/52477instacron: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 10:04:22.252CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Nonlinear Stefan problem with convective boundary condition in Storm’s materials
title Nonlinear Stefan problem with convective boundary condition in Storm’s materials
spellingShingle Nonlinear Stefan problem with convective boundary condition in Storm’s materials
Briozzo, Adriana Clotilde
FREE BOUNDARY PROBLEM
PHASE CHANGE PROCESS
SIMILARITY SOLUTION
STEFAN PROBLEM
title_short Nonlinear Stefan problem with convective boundary condition in Storm’s materials
title_full Nonlinear Stefan problem with convective boundary condition in Storm’s materials
title_fullStr Nonlinear Stefan problem with convective boundary condition in Storm’s materials
title_full_unstemmed Nonlinear Stefan problem with convective boundary condition in Storm’s materials
title_sort Nonlinear Stefan problem with convective boundary condition 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 FREE BOUNDARY PROBLEM
PHASE CHANGE PROCESS
SIMILARITY SOLUTION
STEFAN PROBLEM
topic FREE BOUNDARY PROBLEM
PHASE CHANGE PROCESS
SIMILARITY SOLUTION
STEFAN PROBLEM
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 a nonlinear one-dimensional Stefan problem for a semi-infinite material x > 0, with phase change temperature T f . We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition, and we assume a convective boundary condition at the fixed face x = 0. A unique explicit solution of similarity type is obtained. Moreover, asymptotic behavior of the solution when h→+∞ is studied.
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 a nonlinear one-dimensional Stefan problem for a semi-infinite material x > 0, with phase change temperature T f . We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition, and we assume a convective boundary condition at the fixed face x = 0. A unique explicit solution of similarity type is obtained. Moreover, asymptotic behavior of the solution when h→+∞ is studied.
publishDate 2016
dc.date.none.fl_str_mv 2016-04
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/11336/52477
Briozzo, Adriana Clotilde; Natale, María Fernanda; Nonlinear Stefan problem with convective boundary condition in Storm’s materials; Springer; Zeitschrift Fur Angewandte Mathematik Und Physik; 67; 2; 4-2016; 1-11
0044-2275
1420-9039
CONICET Digital
CONICET
url http://hdl.handle.net/11336/52477
identifier_str_mv Briozzo, Adriana Clotilde; Natale, María Fernanda; Nonlinear Stefan problem with convective boundary condition in Storm’s materials; Springer; Zeitschrift Fur Angewandte Mathematik Und Physik; 67; 2; 4-2016; 1-11
0044-2275
1420-9039
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s00033-015-0615-x
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00033-015-0615-x
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 Springer
publisher.none.fl_str_mv Springer
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_ 1842269853457580032
score 13.13397

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