Author(s)

D.A. Tarzia

Abstract

We present two different approaches on the determination of thermal coefficients of a semi-infinite material through a phase-change process with an overspecified heat flux condition on the fixed face. 1) We use a simple mushy zone model in a two-phase solidification problem (Stefan problem) for the simultaneous determination of some unknown coefficients. We also find the necessary and sufficient conditions for the existence of a solution and the corresponding formulae for the unknown coefficients. 2) \Ve use approximate methods (heat balance integral and variational methods) for a one-phase Stefan problem for the simultaneous determination of some unknown coefficients. We propose a convexe linear expansion (with a parameter to be also determined) of the first and second order approximation solutions

Keywords