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Entropy 2016, 18(11), 391; doi:10.3390/e18110391

On Thermodynamics Problems in the Single-Phase-Lagging Heat Conduction Model

Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
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Academic Editor: Brian Agnew
Received: 10 October 2016 / Revised: 26 October 2016 / Accepted: 2 November 2016 / Published: 9 November 2016
(This article belongs to the Special Issue Advances in Applied Thermodynamics II)
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Abstract

Thermodynamics problems for the single-phase-lagging (SPL) model have not been much studied. In this paper, the violation of the second law of thermodynamics by the SPL model is studied from two perspectives, which are the negative entropy production rate and breaking equilibrium spontaneously. The methods for the SPL model to avoid the negative entropy production rate are proposed, which are extended irreversible thermodynamics and the thermal relaxation time. Modifying the entropy production rate positive or zero is not enough to avoid the violation of the second law of thermodynamics for the SPL model, because the SPL model could cause breaking equilibrium spontaneously in some special circumstances. As comparison, it is shown that Fourier’s law and the CV model cannot break equilibrium spontaneously by analyzing mathematical energy integral. View Full-Text
Keywords: Fourier’s law; Cattaneo-Vernotte model; single-phase-lagging model; laws of thermodynamics Fourier’s law; Cattaneo-Vernotte model; single-phase-lagging model; laws of thermodynamics
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Li, S.-N.; Cao, B.-Y. On Thermodynamics Problems in the Single-Phase-Lagging Heat Conduction Model. Entropy 2016, 18, 391.

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