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.

Ballistic-Diffusive Heat Conduction Model

2010 ◽  
Author(s):  
Mingtian Xu ◽  
Lin Cheng
Keyword(s):  
Heat Conduction ◽  
Silicon Nanowires ◽  
Effective Conductivity ◽  
Irreversible Thermodynamics ◽  
Conduction Model ◽  
Extended Irreversible Thermodynamics ◽  
Heat Conduction Model ◽  
New Type ◽  
Theoretical Results ◽  
Good Agreement

In the present work, the heat flux and high order fluxes as well as their time derivatives are taken as independent variables and a new type of extended irreversible thermodynamics is developed. In the framework of this extended irreversible thermodynamics, the size dependence of the effective conductivity is investigated and a generalized single phase lagging heat conduction model including the size effect is established. Theoretically, it covers the diffusive to ballistic regime of heat conduction. The comparison with the experimental and theoretical results of silicon nanowires and thin films shows a good agreement in nano-scale regime.

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]

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,

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

2018 ◽  
Vol 140 (8) ◽  
Author(s):  
Hossein Askarizadeh ◽  
Hossein Ahmadikia
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Heat Flow ◽  
Irreversible Thermodynamics ◽  
High Order ◽  
Second Law ◽  
Phase Lag ◽  
Dual Phase ◽  
Heat Transfer Equation ◽  
Extended Irreversible Thermodynamics

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 (EIT) 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 (FP) 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 (GP) heat flow), the conditions of stable solution of the DPL heat transfer equation should be considered to obtain compatible solution with the local equilibrium thermodynamics. Finally, an insight inspection has been presented to declare precisely the influence of high-order terms on the EPRs.

scholarly journals Can Quantum Correlations Lead to Violation of the Second Law of Thermodynamics?

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 573
Author(s):  
Alexey V. Melkikh
Keyword(s):  
Quantum Entanglement ◽  
Local Equilibrium ◽  
Heat Engine ◽  
Thermodynamic Quantity ◽  
Second Law Of Thermodynamics ◽  
Quantum Correlations ◽  
Von Neumann Entropy ◽  
Second Law ◽  
Carnot Cycle ◽  
Technical Discussion

Quantum entanglement can cause the efficiency of a heat engine to be greater than the efficiency of the Carnot cycle. However, this does not mean a violation of the second law of thermodynamics, since there is no local equilibrium for pure quantum states, and, in the absence of local equilibrium, thermodynamics cannot be formulated correctly. Von Neumann entropy is not a thermodynamic quantity, although it can characterize the ordering of a system. In the case of the entanglement of the particles of the system with the environment, the concept of an isolated system should be refined. In any case, quantum correlations cannot lead to a violation of the second law of thermodynamics in any of its formulations. This article is devoted to a technical discussion of the expected results on the role of quantum entanglement in thermodynamics.

A Thermodynamical Theory with Internal Variables Describing Thermal Effects in Viscous Fluids

2018 ◽  
Vol 43 (2) ◽  
pp. 171-184
Author(s):  
Vincenzo Ciancio ◽  
Annunziata Palumbo
Keyword(s):  
Heat Conduction ◽  
Current Density ◽  
Thermal Effects ◽  
Local Equilibrium ◽  
Irreversible Thermodynamics ◽  
Viscous Fluids ◽  
Internal Variables ◽  
Generalized Entropy ◽  
Entropy Current ◽  
Newton’S Laws

AbstractIn this paper the heat conduction in viscous fluids is described by using the theory of classical irreversible thermodynamics with internal variables. In this theory, the deviation from the local equilibrium is characterized by vectorial internal variables and a generalized entropy current density expressed in terms of so-called current multipliers. Cross effects between heat conduction and viscosity are also considered and some phenomenological generalizations of Fourier’s and Newton’s laws are obtained.

Sign in / Sign up

Export Citation Format

Share Document