scholarly journals Stability and Thermodynamic Restrictions for a Dual-Phase-Lag Thermal Model

2017 ◽  
Vol 42 (3) ◽  
Author(s):  
Mauro Fabrizio ◽  
Barbara Lazzari ◽  
Vincenzo Tibullo
Keyword(s):  
Heat Conduction ◽  
Thermal Model ◽  
Second Law Of Thermodynamics ◽  
Second Law ◽  
Phase Lag ◽  
Dual Phase ◽  
Thermodynamic Restrictions

AbstractIn this paper, the seeming inconsistency highlighted by Fabrizio and Lazzari (Stability and second law of thermodynamics in dual-phase-lag heat conduction,

Nonequilibrium Entropy Production Under the Effect of the Dual-Phase-Lag Heat Conduction Model

2000 ◽  
Vol 122 (2) ◽  
pp. 217-223 ◽  
Author(s):  
M. A. Al-Nimr ◽  
M. Naji ◽  
V. S. Arbaci
Keyword(s):  
Heat Conduction ◽  
Entropy Production ◽  
Second Law ◽  
Phase Lag ◽  
Dual Phase ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Nonequilibrium Entropy ◽  
Phase Lags ◽  
The Difference

In the present work, the nonequilibrium entropy production under the effect of the dual-phase-lag heat conduction model is investigated. It is shown that the entropy production cannot be described using the classical form of the equilibrium entropy production where using this form leads to a violation for the thermodynamics second law. The effect of the phase-lags in temperature and in heat flux on the nonequilibrium entropy production is investigated. Also, the difference between the equilibrium and the nonequilibrium temperatures under the effect of the dual-phase-lag heat conduction model is studied. [S0022-1481(00)01502-4]

Thermodynamic Basis of Dual-Phase-Lagging Heat Conduction

2011 ◽  
Vol 133 (4) ◽  
Author(s):  
Mingtian Xu
Keyword(s):  
Heat Conduction ◽  
Local Equilibrium ◽  
Second Law Of Thermodynamics ◽  
Maxwell Model ◽  
Irreversible Thermodynamics ◽  
Second Law ◽  
Dual Phase ◽  
Conduction Model ◽  
Extended Irreversible Thermodynamics ◽  
Thermodynamic Basis

The thermal vibration phenomenon occurring in the dual-phase-lagging heat conduction violates the second law of thermodynamics under the local equilibrium assumption. In order to resolve this paradox, two types of the extended irreversible thermodynamics are developed in the present work, which make the dual-phase-lagging heat conduction model compatible with the second law of thermodynamics. It is also shown that these extended irreversible thermodynamics can give rise to the Maxwell model for the viscoelastic fluid flow.

Thermoelastic damping in the size-dependent micro/nanobeam resonator with nonlocal dual-phase-lag heat conduction

2021 ◽  
Vol 169 ◽  
pp. 108437
Author(s):  
Hongyue Zhou ◽  
Haobin Jiang ◽  
Pu Li ◽  
Hongtao Xue ◽  
Billy Bo
Keyword(s):  
Heat Conduction ◽  
Phase Lag ◽  
Dual Phase ◽  
Thermoelastic Damping ◽  
Size Dependent
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