FINITE-DIFFERENCE SOLUTION OF HYPERBOLIC HEAT-CONDUCTION WITH TEMPERATURE-DEPENDENT PROPERTIES

A numerical evaluation of the temperature field in an infinite solid m edium that surrounds a cylindrical surface is presented. An unsteady a nd uniform heat flux density is prescribed at the cylindrical surface, and Cattaneo-Vernotte's constitutive equation for the heat flux densi ty is supposed to hold. The hyperbolic differential problem is solved by MacCormack's predictor-corrector method by assuming that both the t hermal conductivity and the specific heat are temperature-dependent. T hen, the results of the numerical evaluation are compared with the ana lytical solution that is available in the literature for the special c ase of constant thermophysical properties.