Thermodynamic stability and temperature overshooting in dual-phase-lag heat transfer

D. Jou, M. Criado-Sancho

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33 Citations (Scopus)

Abstract

The dual-phase-lag model in heat transfer includes relaxation times for the heat flux and for the temperature gradient. Here we show that a thermodynamic stability analysis suggests that the initial value for the temperature gradient cannot be arbitrarily high but it is bounded by 1.42(T/τT), with T the initial value of the local temperature and tT the relaxation time of the temperature gradient. This could restrict the possibility of observing the temperature overshooting predicted by the dynamical equations. © 1998 Elsevier Science B.V.
Original languageEnglish
Pages (from-to)172-178
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume248
Issue number2-4
DOIs
Publication statusPublished - 9 Nov 1998

Keywords

  • Dual-phase-lag model
  • Extended irreversible thermodynamics
  • Heat conduction
  • Nonequilibrium entropy
  • Thermodynamic fluctuations
  • Thermodynamic stability

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