<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, a generalized heat transport equation including relaxational, nonlocal and nonlinear effects is provided, which contains diverse previous phenomenological models as particular cases. The aim of the present work is to establish an extended irreversible thermodynamic framework, with generalized expressions of entropy and entropy flux. Nonlinear thermodynamic force-flux relation is proposed as an extension of the usual linear one, giving rise to the nonlinear terms in the heat transport equation and ensuring compatibility with the second law. Several previous results are recovered in the linear case, and some additional results related to nonlinear terms are also obtained.</p></abstract>

In this paper, a generalized heat transport equation including relaxational, nonlocal and nonlinear effects is provided, which contains diverse previous phenomenological models as particular cases. The aim of the present work is to establish an extended irreversible thermodynamic framework, with generalized expressions of entropy and entropy flux. Nonlinear thermodynamic force-flux relation is proposed as an extension of the usual linear one, giving rise to the nonlinear terms in the heat transport equation and ensuring compatibility with the second law. Several previous results are recovered in the linear case, and some additional results related to nonlinear terms are also obtained.

Thermodynamic framework for a generalized heat transport equation

Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing, China

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Thermodynamic framework for a generalized heat transport equation"}

In this paper, a generalized heat transport equation including relaxational, nonlocal and nonlinear effects is provided, which contains diverse previous...

Thermodynamic framework for a generalized heat transport equation

Publié en ligne: 20 mai 2016

Pages: 167 - 176

Reçu: 25 déc. 2014

Accepté: 04 mai 2015

DOI: https://doi.org/10.1515/caim-2016-0012

Mots clés
generalized heat transport equation, extended irreversible thermodynamics, generalized entropy flux, nanoscale heat transport

© 2016 Yangyu Guo et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Thermodynamic framework for a generalized heat transport equation

Publié en ligne: 20 mai 2016

Pages: 167 - 176

Reçu: 25 déc. 2014

Accepté: 04 mai 2015

DOI: https://doi.org/10.1515/caim-2016-0012

Mots clésgeneralized heat transport equation, extended irreversible thermodynamics, generalized entropy flux, nanoscale heat transport

© 2016 Yangyu Guo et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
generalized heat transport equation, extended irreversible thermodynamics, generalized entropy flux, nanoscale heat transport