Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials

Autores
Briozzo, Adriana Clotilde
Año de publicación
2018
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 Tf. We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. A convective boundary condition and a heat flux over-specified condition on the fixed face x= 0 are considered. Unknown thermal coefficients are determined for the free boundary problem and for the associate moving boundary problem and we give sufficient conditions to obtain a parametric representation of a similarity type solution. Moreover, we give formulae for the thermal coefficients in both cases.
Fil: Briozzo, Adriana Clotilde. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
FREE BOUNDARY PROBLEM
OVER-SPECIFIED BOUNDARY CONDITION
PHASE-CHANGE PROCESS
SIMILARITY SOLUTION
STEFAN PROBLEM
UNKNOWN THERMAL COEFFICIENT
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:11336/90863
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/90863
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materialsBriozzo, Adriana ClotildeFREE BOUNDARY PROBLEMOVER-SPECIFIED BOUNDARY CONDITIONPHASE-CHANGE PROCESSSIMILARITY SOLUTIONSTEFAN PROBLEMUNKNOWN THERMAL COEFFICIENThttps://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 Tf. We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. A convective boundary condition and a heat flux over-specified condition on the fixed face x= 0 are considered. Unknown thermal coefficients are determined for the free boundary problem and for the associate moving boundary problem and we give sufficient conditions to obtain a parametric representation of a similarity type solution. Moreover, we give formulae for the thermal coefficients in both cases.Fil: Briozzo, Adriana Clotilde. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSociedade Brasileira de Matemática Aplicada e Computacional2018-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/90863Briozzo, Adriana Clotilde; Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials; Sociedade Brasileira de Matemática Aplicada e Computacional; Matematica Aplicada E Computacional; 37; 4; 9-2018; 4499-45170101-82051807-0302CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s40314-017-0524-zinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs40314-017-0524-zinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:36:01Zoai:ri.conicet.gov.ar:11336/90863instacron: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:34982025-11-12 09:36:01.788CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
title Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
spellingShingle Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
Briozzo, Adriana Clotilde
FREE BOUNDARY PROBLEM
OVER-SPECIFIED BOUNDARY CONDITION
PHASE-CHANGE PROCESS
SIMILARITY SOLUTION
STEFAN PROBLEM
UNKNOWN THERMAL COEFFICIENT
title_short Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
title_full Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
title_fullStr Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
title_full_unstemmed Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
title_sort Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
dc.creator.none.fl_str_mv Briozzo, Adriana Clotilde
author Briozzo, Adriana Clotilde
author_facet Briozzo, Adriana Clotilde
author_role author
dc.subject.none.fl_str_mv FREE BOUNDARY PROBLEM
OVER-SPECIFIED BOUNDARY CONDITION
PHASE-CHANGE PROCESS
SIMILARITY SOLUTION
STEFAN PROBLEM
UNKNOWN THERMAL COEFFICIENT
topic FREE BOUNDARY PROBLEM
OVER-SPECIFIED BOUNDARY CONDITION
PHASE-CHANGE PROCESS
SIMILARITY SOLUTION
STEFAN PROBLEM
UNKNOWN THERMAL COEFFICIENT
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 Tf. We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. A convective boundary condition and a heat flux over-specified condition on the fixed face x= 0 are considered. Unknown thermal coefficients are determined for the free boundary problem and for the associate moving boundary problem and we give sufficient conditions to obtain a parametric representation of a similarity type solution. Moreover, we give formulae for the thermal coefficients in both cases.
Fil: Briozzo, Adriana Clotilde. 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 Tf. We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. A convective boundary condition and a heat flux over-specified condition on the fixed face x= 0 are considered. Unknown thermal coefficients are determined for the free boundary problem and for the associate moving boundary problem and we give sufficient conditions to obtain a parametric representation of a similarity type solution. Moreover, we give formulae for the thermal coefficients in both cases.
publishDate 2018
dc.date.none.fl_str_mv 2018-09
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/11336/90863
Briozzo, Adriana Clotilde; Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials; Sociedade Brasileira de Matemática Aplicada e Computacional; Matematica Aplicada E Computacional; 37; 4; 9-2018; 4499-4517
0101-8205
1807-0302
CONICET Digital
CONICET
url http://hdl.handle.net/11336/90863
identifier_str_mv Briozzo, Adriana Clotilde; Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials; Sociedade Brasileira de Matemática Aplicada e Computacional; Matematica Aplicada E Computacional; 37; 4; 9-2018; 4499-4517
0101-8205
1807-0302
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/s40314-017-0524-z
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs40314-017-0524-z
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
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
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 12.976206

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