A. Barletta et E. Zanchini, UNSTEADY HEAT-CONDUCTION BY INTERNAL-ENERGY WAVES IN SOLIDS, Physical review. B, Condensed matter, 55(21), 1997, pp. 14208-14213
The propagation of thermal waves at finite speed is analyzed both for
processes which fulfill the local equilibrium hypothesis and for proce
sses which do not fulfill this hypothesis. A modified form of the Catt
aneo-Vernotte constitutive equation for the heat-flux-density vector i
s proposed. The constitutive equation does not require the definition
of a thermodynamic temperature field for local nonequilibrium states a
nd, for a homogeneous medium, relates the heat-flux-density vector to
the internal-energy distribution. The proposed model is applied to inv
estigate the propagation of axisymmetric thermal waves in an infinite
solid medium.