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Main Title: Weakly Nonlocal And Nonlinear Heat Transport In Rigid Solids
Author(s): Lebon, Georgy
Jou, David
Casas-Vázquez, José
Muschik, Wolfgang
Type: Article
Language Code: en
Abstract: A weakly nonlocal and nonlinear theory of heat conduction in rigid bodies is proposed. The constitutive equations generalize these of Fourier, Maxwell-Cattaneo and Guyer-Krumhansl. The proposed model uses the fundaments and the technique of extended irreversible thermodynamics. The main conclusion is that the presence of nonlocal terms in the transport equation for the heat flux implies a modification of the entropy flux; the latter is no longer given by its classical expression, i.e. the heat flux divided by the temperature, but contains extra contributions which are nonlinear in the heat flux and its gradient. These results arise as compatibility conditions with the second law of thermodynamics. A nonequilibrium temperature depending on the heat flux and generalizing the local equilibrium temperature is also emerging naturally from the formalism.
Issue Date: 1998
Date Available: 9-Nov-2018
DDC Class: 530 Physik
Subject(s): thermodynamics
heat conduction
Journal Title: Journal of non-equilibrium thermodynamics
Publisher: De Gruyter
Publisher Place: Berlin
Volume: 23
Issue: 2
Publisher DOI: 10.1515/jnet.1998.23.2.176
Page Start: 176
Page End: 191
EISSN: 1437-4358
ISSN: 0340-0204
Notes: Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
Appears in Collections:Inst. Theoretische Physik » Publications

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