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

D. Jou; M. Criado-Sancho

doi:10.1016/S0375-9601(98)00573-8

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

D. Jou, M. Criado-Sancho

Department of Physics

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35 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 language	English
Pages (from-to)	172-178
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	248
Issue number	2-4
DOIs	https://doi.org/10.1016/S0375-9601(98)00573-8
Publication status	Published - 9 Nov 1998

Keywords

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

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10.1016/S0375-9601(98)00573-8

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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. {\textcopyright} 1998 Elsevier Science B.V.",

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AU - Criado-Sancho, M.

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N2 - 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.

AB - 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.

KW - Dual-phase-lag model

KW - Extended irreversible thermodynamics

KW - Heat conduction

KW - Nonequilibrium entropy

KW - Thermodynamic fluctuations

KW - Thermodynamic stability

U2 - 10.1016/S0375-9601(98)00573-8

DO - 10.1016/S0375-9601(98)00573-8

M3 - Article

VL - 248

SP - 172

EP - 178

IS - 2-4

ER -

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

Abstract

Keywords

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