Extended Irreversible Thermodynamics Versus Second-Law Analysis of High-Order Dual-Phase-Lag Heat Transfer

[+] Author and Article Information
Hossein Askarizadeh

Ph.D. Candidate, Department of Mechanical Engineering, University of Isfahan, Isfahan, Iran, Postal Code: 81746-73441

Hossein Ahmadikia

Associate Professor, Department of Mechanical Engineering, University of Isfahan, Isfahan, Iran, Postal Code: 81746-73441

1Corresponding author.

ASME doi:10.1115/1.4038851 History: Received December 19, 2016; Revised November 30, 2017


This study introduces an analysis of high-order Dual-Phase-Lag (DPL) heat transfer equation and its thermodynamic consistency. The frameworks of extended irreversible thermodynamics and traditional second law are employed to investigate the compatibility of DPL model by evaluating the entropy production rates (EPR). Applying an analytical approach showed that both the first and second-order approximations of the DPL model are compatible with the traditional second law of thermodynamics under certain circumstances. If the heat flux is the cause of temperature gradient in the medium (over diffused or flux precedence heat flow), the DPL model is compatible with the traditional second law without any constraints. Otherwise, when the temperature gradient is the cause of heat flux (gradient precedence heat flow), the conditions of stable solutions of the DPL heat transfer equation might be necessary to become compatible with the local equilibrium thermodynamics. Finally, an insight inspection has been carried out to declare precisely the influence of several terms of the high-order DPL model on the EPRs. Keywords: High-order Dual Phase Lag, Analytical solution, Entropy production rate, Thermodynamics second law, Extended irreversible thermodynamics

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