Generalized heat conduction in heat pulse experiments

By R. Kov'acs, P. V'an. 2014

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Abstract A novel equation of heat conduction is derived with the help of a generalized entropy current and internal variables. The obtained system of constitutive relations is compatible with the momentum series expansion of the kinetic theory. The well known Fourier, Maxwell–Cattaneo–Vernotte, Guyer–Krumhansl, Jeffreys-type, and Cahn–Hilliard type equations are derived as special cases. Some remarkable properties of solutions of the general equation are demonstrated with heat pulse initial and boundary conditions. A simple numerical method is developed and its stability is proved. Apparent faster than Fourier pulse propagation is calculated in the over-diffusion regime.

Subfields: Geophysics, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a2484877913dee6d1a6829027c53dd39c9f9f3a7