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Extended Irreversible Thermodynamics and Generalization of the Dual-Phase-Lag Model in Heat Transfer
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S. I. Serdyukov
Published/Copyright:
June 1, 2005
Abstract
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.
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Published Online: 2005-06-01
Published in Print: 2003-07-21
Copyright © 2003 by Walter de Gruyter GmbH & Co. KG
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Articles in the same Issue
- Obituary
- Quantitative Estimation of Relationship between the State with Minimal Entropy Production and the Actual Stationary Regime of Flame Propagation
- Extended Irreversible Thermodynamics and Generalization of the Dual-Phase-Lag Model in Heat Transfer
- Quantum Degeneracy Effect on the Performance of a Bose Ericsson Refrigeration Cycle
- Optimal Process Paths for Endoreversible Systems
- The Effect of Solute Leakage on the Thermodynamical Performance of an Osmotic Membrane
- Fractional Diffusion, Irreversibility and Entropy
- Y. Demirel: Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical and Biological Systems.
