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

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...

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Detalles Bibliográficos
Autores: Briozzo, Adriana Clotilde, Natale, María Fernanda
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/52477
Acceso en línea:http://hdl.handle.net/11336/52477
Access Level:acceso abierto
Palabra clave:FREE BOUNDARY PROBLEM
PHASE CHANGE PROCESS
SIMILARITY SOLUTION
STEFAN PROBLEM
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario: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.