Heat conduction at low temperature: A non-linear generalization of the Guyer-Krumhansl equation

Periodica Polytechnica Chemical Engineering

Volumn 41, Issue 2, 1997, Pages 185-196

  Lebon, Georgy ^a,b   Jou, David ^c   Casas Vazquez, José ^c   Muschik, Wolfgang ^d  

^a UNIVERSITY OF LIÈGE   (Belgium)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^c UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^d TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Extended irreversible thermodynamics; Heat conduction; Low temperature

Indexed keywords

CRYSTALS; DIELECTRIC MATERIALS; HEAT FLUX; LOW TEMPERATURE PHENOMENA; MATHEMATICAL MODELS; NUMERICAL METHODS; THERMAL GRADIENTS; THERMODYNAMICS;

EXTENDED IRREVERSIBLE THERMODYNAMICS; FOURIER LAW; GUYER-KRUMHANSL EQUATION;

HEAT CONDUCTION;

CONDUCTION; HEAT TRANSFER; THERMODYNAMICS;

EID: 0031391656     PISSN: 03245853     EISSN: 15873765     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

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2. CATTANEO, C. (1958): Sur une forme de l'équation de la chaleur éliminant le paradoxe d'une propagation instantanée, Comptes Rendus de l'Acad. Sc. Paris, Vol. 247, pp. 431-433.
3. GUYER, R. - KRUMHANSL, H. (1966): Thermal Conductivity, Second-Sound, and Phonon Hydrodynamics in Nonmetallic Crystals, Phys. Rev. Vol. 148, pp. 778-788.
4. DE GROOT, S. R. - MAZUR, P. (1962): Non Equilibrium Thermodynamics. North-Holland, Amsterdam.
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6. Jou, D. - CASAS-VAZQUEZ, J. - LEBON, G. (1996): Extended Irreversible Thermodynamics. Springer, Berlin, 2nd ed., chaps. 2 and 6.
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8. LEBON, G. - Jou, D. - CASAS-VÁZQUEZ, J. - MUSCHIK, W.: Non-local and Non-linear Heat Transport in Rigid Solids, submitted for publication.