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]
Issue Section:
Conduction Heat Transfer
1.
Cattaneo
, C.
, 1958
, “A Form of Heat Conduction Equation Which Eliminates the Paradox of Instantaneous Propagation
,” Compte Rendus
, 247
, pp. 431
–433
.2.
Vernotte
, P.
, 1961
, “Some Possible Complications in the Phenomena of Thermal Conduction
,” Compte Rendus
, 252
, pp. 2190
–2191
.3.
Tzou
, D. Y.
, 1995
, “A Unified Field Approach for Heat Conduction From Micro-to Macro-Scales
,” ASME J. Heat Transfer
, 117
, pp. 8
–16
.4.
Tzou
, D. Y.
, 1995
, “The Generalized Lagging Response in Small-Scale and High-Rate Heating
,” Int. J. Heat Mass Transf.
, 38
, pp. 3231
–3240
.5.
Tzou
, D. Y.
, 1995
, “Experimental Support for The Lagging Response in Heat Propagation
,” AIAA J. Thermophys. Heat Transfer
, 9
, pp. 686
–693
.6.
Brey
, J.
, and Prados
, A.
, 1990
, “Calculation of the Entropy From Master Equations With Time-Dependent Transient Probabilities
,” Phys. Rev. A
, 42
, No. 2
, p. 765
765
.7.
Brey
, J.
, and Santos
, A.
, 1992
, “Nonequilibrium Entropy of Gas
,” Phys. Rev. A
(15), Statistical Physics, P, 45
, No. 12
, p. 8566
8566
.8.
Criado-Sancho
, M.
, and Llebot
, J. E.
, 1993
, “Behavior of Entropy in Hyperbolic Heat Conduction
,” Phys. Rev. E
, 47
, No. 6
, pp. 4104
–4107
.9.
Jou, D., Vazquez, J. C., and Labon, G., 1993, Extended Irreversible Thermodynamics, Springer, Berlin.
10.
Sieniutycz
, S.
, and Berry
, R. S.
, 1992
, “Least-Entropy Generation: Variational Principle of Onsager’s Type for Transient Hyperbolic Heat and Mass Transfer
,” Phys. Rev. A
(15), Statistical Physics, P, 46
, No. 10
, pp. 6359
–6368
.11.
Sieniutycz
, S.
, and Ratkje
, S. K.
, 1996
, “Variational Principle for Entropy in Electrochemical Transport Phenomena
,” Int. J. Eng. Sci.
, 34
, No. 5
, p. 549
549
.12.
Sieniutycz
, S.
, and Beris
, A. N.
, 1999
, “A Nonequilibrium Internal Exchange of Energy and Matter and its Onsager’s-Type Variational Theory of Relaxation
,” Int. J. Heat Mass Transf.
, 42
, No. 14
, p. 2695
2695
.13.
Tzou, D. Y., 1997, Macro-to-Microscale Heat Transfer—The Lagging Behavior, Taylor and Francis, London, pp. 1–46.
14.
Vazquez, J. C., Jou, D., and Labon, G., 1984, Recent Development in Nonequilibrium Thermodynamics, Springer, Berlin.
15.
Vazquez
, J. C.
, and Jou
, D.
, 1994
, “Nonequilibrium Temperature Versus Local-Equilibrium Temperature
,” Phys. Rev. E
, 49
, No. 2
, pp. 1040
–1048
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