Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions

Autores
Tarzia, Domingo Alberto
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We complete the Solomon-Wilson-Alexiades's mushy zone model (Solomon, 1982) for the one-phase Lame-Clapeyron-Stefan problem by obtaining explicit solutions when a convective or heat flux boundary condition is imposed on the fixed face for a semi-infinite material. We also obtain the necessary and sufficient condition on data in order to get the explicit solutions for both cases which is new with respect to the original model. Moreover, when these conditions are satisfied, the two phase-change problems are equivalent to the same problem with a temperature boundary condition on the fixed face and therefore an inequality for the coefficient which characterized one of the two free interfaces of the model is also obtained.
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Materia
Explicit solution
Mushy region
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:11336/52781
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/52781
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network_name_str CONICET Digital (CONICET)
spelling Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary ConditionsTarzia, Domingo AlbertoExplicit solutionMushy regionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We complete the Solomon-Wilson-Alexiades's mushy zone model (Solomon, 1982) for the one-phase Lame-Clapeyron-Stefan problem by obtaining explicit solutions when a convective or heat flux boundary condition is imposed on the fixed face for a semi-infinite material. We also obtain the necessary and sufficient condition on data in order to get the explicit solutions for both cases which is new with respect to the original model. Moreover, when these conditions are satisfied, the two phase-change problems are equivalent to the same problem with a temperature boundary condition on the fixed face and therefore an inequality for the coefficient which characterized one of the two free interfaces of the model is also obtained.Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; ArgentinaHindawi Publishing Corporation2015-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/52781Tarzia, Domingo Alberto; Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions; Hindawi Publishing Corporation; Journal of Applied Mathematics; 2015; 8-2015; 1-91687-0042CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1155/2015/375930info:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/jam/2015/375930/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:43Zoai:ri.conicet.gov.ar:11336/52781instacron: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 10:09:43.649CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions
title Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions
spellingShingle Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions
Tarzia, Domingo Alberto
Explicit solution
Mushy region
title_short Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions
title_full Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions
title_fullStr Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions
title_full_unstemmed Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions
title_sort Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions
dc.creator.none.fl_str_mv Tarzia, Domingo Alberto
author Tarzia, Domingo Alberto
author_facet Tarzia, Domingo Alberto
author_role author
dc.subject.none.fl_str_mv Explicit solution
Mushy region
topic Explicit solution
Mushy region
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 complete the Solomon-Wilson-Alexiades's mushy zone model (Solomon, 1982) for the one-phase Lame-Clapeyron-Stefan problem by obtaining explicit solutions when a convective or heat flux boundary condition is imposed on the fixed face for a semi-infinite material. We also obtain the necessary and sufficient condition on data in order to get the explicit solutions for both cases which is new with respect to the original model. Moreover, when these conditions are satisfied, the two phase-change problems are equivalent to the same problem with a temperature boundary condition on the fixed face and therefore an inequality for the coefficient which characterized one of the two free interfaces of the model is also obtained.
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
description We complete the Solomon-Wilson-Alexiades's mushy zone model (Solomon, 1982) for the one-phase Lame-Clapeyron-Stefan problem by obtaining explicit solutions when a convective or heat flux boundary condition is imposed on the fixed face for a semi-infinite material. We also obtain the necessary and sufficient condition on data in order to get the explicit solutions for both cases which is new with respect to the original model. Moreover, when these conditions are satisfied, the two phase-change problems are equivalent to the same problem with a temperature boundary condition on the fixed face and therefore an inequality for the coefficient which characterized one of the two free interfaces of the model is also obtained.
publishDate 2015
dc.date.none.fl_str_mv 2015-08
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/11336/52781
Tarzia, Domingo Alberto; Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions; Hindawi Publishing Corporation; Journal of Applied Mathematics; 2015; 8-2015; 1-9
1687-0042
CONICET Digital
CONICET
url http://hdl.handle.net/11336/52781
identifier_str_mv Tarzia, Domingo Alberto; Explicit Solutions for the Solomon-Wilson-Alexiades's Mushy Zone Model with Convective or Heat Flux Boundary Conditions; Hindawi Publishing Corporation; Journal of Applied Mathematics; 2015; 8-2015; 1-9
1687-0042
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1155/2015/375930
info:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/jam/2015/375930/
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 Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
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_ 1842270092663980032
score 13.13397

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