info:eu-repo/semantics/article
Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
Fecha
2018-09Registro en:
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
Autor
Briozzo, Adriana Clotilde
Resumen
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.