Beyond the Fourier heat conduction law and the thermal no-slip boundary condition

G. Lebon; D. Jou; P. C. Dauby

doi:https://doi.org/10.1016/j.physleta.2012.09.034

Beyond the Fourier heat conduction law and the thermal no-slip boundary condition

G. Lebon, D. Jou, P. C. Dauby

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

15 Citations (Scopus)

Abstract

The problem of heat slip flow along solid walls is investigated within the framework of modern thermodynamics. The underlying idea is to elevate the heat flux at the boundary to the status of independent variable. General boundary conditions are obtained from the constraint imposed by the second law of thermodynamics expressing that the rate of entropy production is non-negative. In parallel, evolution equations for the heat flux inside the bulk of the system are also formulated. © 2012 Elsevier B.V.

Original language	English
Pages (from-to)	2842-2846
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	376
DOIs	https://doi.org/10.1016/j.physleta.2012.09.034
Publication status	Published - 1 Oct 2012

Keywords

Boundary conditions
Heat slip
Nano systems
Non-equilibrium thermodynamics

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https://doi.org/10.1016/j.physleta.2012.09.034

Cite this

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title = "Beyond the Fourier heat conduction law and the thermal no-slip boundary condition",

abstract = "The problem of heat slip flow along solid walls is investigated within the framework of modern thermodynamics. The underlying idea is to elevate the heat flux at the boundary to the status of independent variable. General boundary conditions are obtained from the constraint imposed by the second law of thermodynamics expressing that the rate of entropy production is non-negative. In parallel, evolution equations for the heat flux inside the bulk of the system are also formulated. {\textcopyright} 2012 Elsevier B.V.",

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AU - Lebon, G.

AU - Jou, D.

AU - Dauby, P. C.

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N2 - The problem of heat slip flow along solid walls is investigated within the framework of modern thermodynamics. The underlying idea is to elevate the heat flux at the boundary to the status of independent variable. General boundary conditions are obtained from the constraint imposed by the second law of thermodynamics expressing that the rate of entropy production is non-negative. In parallel, evolution equations for the heat flux inside the bulk of the system are also formulated. © 2012 Elsevier B.V.

AB - The problem of heat slip flow along solid walls is investigated within the framework of modern thermodynamics. The underlying idea is to elevate the heat flux at the boundary to the status of independent variable. General boundary conditions are obtained from the constraint imposed by the second law of thermodynamics expressing that the rate of entropy production is non-negative. In parallel, evolution equations for the heat flux inside the bulk of the system are also formulated. © 2012 Elsevier B.V.

KW - Boundary conditions

KW - Heat slip

KW - Nano systems

KW - Non-equilibrium thermodynamics

U2 - https://doi.org/10.1016/j.physleta.2012.09.034

DO - https://doi.org/10.1016/j.physleta.2012.09.034

M3 - Article

VL - 376

SP - 2842

EP - 2846

ER -

Beyond the Fourier heat conduction law and the thermal no-slip boundary condition

Abstract

Keywords

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