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S. I. Serdyukov, N. M. Voskresenskii, V. K. Bel'nov, I. I. Karpov

Extended Irreversible Thermodynamics and Generalization of the Dual-Phase-Lag Model in Heat Transfer

The process of heat conduction, with allowance made for the lag effect, is considered. A postulate of extended irreversible thermodynamics is suggested, according to which the entropy is a function of the internal energy and its time derivatives (up to the third derivative, inclusive). On the basis of the developed thermodynamic formalism, a third-order heat conduction equation is derived, generalizing the known dual-phase-lag model equation. A mathematical model of heat conduction in a package of heat-conducting plates is built, leading to the considered third-order equation. By numerical modeling it is shown that this equation describes heat wave propagation.

Journal of Non-Equilibrium Thermodynamics, Walter de Gruyter

Print ISSN: 0340-0204
Volume: 28, 07/2003
Pages: 207 - 219

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