Abstract

The propagation of thermal waves at finite speed is analyzed both for processes which fulfill the local equilibrium hypothesis and for processes which do not fulfill this hypothesis. A modified form of the Cattaneo-Vernotte constitutive equation for the heat-flux-density vector is proposed. The constitutive equation does not require the definition of a thermodynamic temperature field for local nonequilibrium states and, for a homogeneous medium, relates the heat-flux-density vector to the internal-energy distribution. The proposed model is applied to investigate the propagation of axisymmetric thermal waves in an infinite solid medium.

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