Generalized heat conduction in heat pulse experiments

Kovács, Róbert Sándor and Ván, Péter (2015) Generalized heat conduction in heat pulse experiments. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 83. pp. 613-620. ISSN 0017-9310

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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.

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