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

Georgy Lebon, David Jou, José Casas-Vazquez, Wolfgang Muschik

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7 Citations (Scopus)

Abstract

A general non-linear and non-local heat transport equation is proposed in view to study heat conduction at low temperature (< 25 K) in non-metallic crystals. It is shown that the proposed relation generalizes the classical laws of Guyer and Krumhansl, Cattaneo and Fourier. The problem is treated within the framework of Extended Irreversible Thermodynamics. Special emphasis is placed on the consistency of the results with the second law of thermodynamics.
Original languageEnglish
Pages (from-to)185-196
JournalPeriodica Polytechnica Chemical Engineering
Volume41
Issue number2
Publication statusPublished - 1 Jan 1997

Keywords

  • Extended irreversible thermodynamics
  • Heat conduction
  • Low temperature

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