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A Thermal Potential Formulation of Hyperbolic Heat Conduction

Journal of Heat Transfer, 1999
In the last few decades, the theory of hyperbolic heat conduction has been shown to be a satisfactory extension of Fourier's theory of heat conduction in the case of highly nonstationary heat transfer phenomena.
Barletta A., Zanchini E.
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On the Numerical Solution of Hyperbolic Heat Conduction

Numerical Heat Transfer, Part B: Fundamentals, 1985
Non-Fourier heat conduction is governed by the hyperbolic heat conduction equation, which involves the wave nature of thermal energy transport. In such cases, energy propagates in the medium as a wave with sharp discontinuities at the wave front. Difficulties encountered in the numerical solution of such problems include, among others, numerical ...
D. E. Glass, M. N. Özişik, D. S. McRae, Brian Vick   +3 more
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Behavior of entropy in hyperbolic heat conduction

Physical Review E, 1993
It is shown that the classical entropy of an isolated system does not increase monotonically when the approach to equilibrium is described by hyperbolic equations for the temperature evolution. In contrast, the generalized entropy of extended irreversible thermodynamics does increase monotonically, and is therefore better suited than the classical ...
, Criado-Sancho, , Llebot
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The Hyperbolic Heat Conduction Equation in an Anisotropic Material

International Journal of Thermophysics, 1999
In this work, the phase-lag concept in the wave theory of heat conduction is extended to describe the thermal behavior of anisotropic material. This is achieved by assuming that there are phase-lags of different magnitudes between each component of the heat flux vector and the summation of temperature gradients in all directions of the orthogonal ...
M. Al-Nimr, M. Naji
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Nonequilibrium temperature and hyperbolic heat conduction

Physical Review B, 1998
A generalized definition of temperature, which holds both for equilibrium and nonequilibrium states, is proposed. Then, two conceivable relations between the generalized temperature and the internal energy per unit mass are considered, for a medium at constant density.
Barletta A., Zanchini E.
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Nonlinear Hyperbolic Heat Conduction

Journal of Non-Equilibrium Thermodynamics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Oldroyd fluids with hyperbolic heat conduction

Mechanics Research Communications, 2018
Abstract Development of constitutive equations of Oldroyd fluids with hyperbolic heat conduction, directly from the free energy and dissipation functions, is the focus of this work. Two models from hyperbolic thermoelasticity of solids – theory with one thermal relaxation time and theory with two thermal relaxation times – provide a stepping-stone ...
Martin Ostoja-Starzewski, Roger Khayat
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Hyperbolic Heat Conduction

1993
There exists an impressive amount of literature on heat conduction and hyperbolic equations. It is not our purpose to examine this topic exhaustively, but to stress the more significant and illustrative aspects in connection with extended irreversible thermodynamics (EIT). Two main motivations underlie such a vast literature.
David Jou, José Casas-Vázquez, Georgy Lebon   +2 more
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Numerical analysis for hyperbolic heat conduction

International Journal of Heat and Mass Transfer, 1993
Abstract A new numerical simulation of the hyperbolic heat conduction problem is investigated. The primary difficulty encountered in the numerical solution of such a problem is numerical oscillations in the vicinity of sharp discontinuities. In this work, it is shown that the hybrid technique based on the Laplace transform and control volume methods ...
Chen, Han-Taw, Lin, Jae-Yuh
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Hyperbolic heat conduction with surface radiation

International Journal of Heat and Mass Transfer, 1985
Abstract A numerical approach is used to solve hyperbolic heat conduction in a semi-infinite medium where the boundary at x = 0 is subjected to a surface heat flux and dissipates heat by radiation into an ambient at temperature T ∞ . The results are compared with those obtained from the standard parabolic heat conduction equation.
D.E. Glass, M.N. Özişik, Brian Vick
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