Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
Journal Article
·
· Computational and Applied Mathematics
We consider a nonlinear one-dimensional Stefan problem for a semi-infinite material x>0, with phase change temperature T{sub f}. 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.
- OSTI ID:
- 22783750
- Journal Information:
- Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 4 Vol. 37; ISSN 0101-8205
- Country of Publication:
- United States
- Language:
- English
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