Results 211 to 220 of about 745 (246)

Hyperbolic heat conduction and the second law

International Journal of Engineering Science, 1992
It is well known that Cattaneo's modification of the constitutive equation for heat flux [\textit{D. D. Joseph} and \textit{L. Preziosi}, Rev. Mod. Phys. 61, No. 1, 41-74 (1989)] yields a telegraph equation for determining temperature that models hyperbolic heat conduction with a finite thermal wave speed.
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HYPERBOLIC HEAT CONDUCTION WITH RADIATION IN AN ABSORBING AND EMITTING MEDIUM

Numerical Heat Transfer, 1987
Hyperbolic heat conduction with radiation is considered in a finite absorbing and emitting slab for the cases of a constant and a pulsed heat flux boundary condition. For small optical thicknesses, the wave nature of hyperbolic heat conduction gives rise to a thermal front propagating from the back surface which results from the heating of the back ...
D. E. Glass, M. N. Ozisik, D. S. McRae
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The physical defects of the hyperbolic heat conduction equation

Applied Physics A: Materials Science & Processing, 1998
In this paper the HHCE is inspected on a microscopic level from a physical point of view. Starting from the Boltzmann transport equations we study the underlying approximations. We find that the hyperbolic approach to the heat current density violates the fundamental law of energy conservation.
C. Körner, H.W. Bergmann
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Overshooting Phenomenon in the Hyperbolic Heat Conduction Model

Japanese Journal of Applied Physics, 2003
The overshooting phenomenon under the effect of the microscopic hyperbolic heat conduction model is investigated in a thin layer of metallic material. Maps of the regions within which the overshooting phenomenon has significant effects are presented. The two most important parameters that control the overshooting phenomenon are the initial first- and ...
Mohammad Al-Nimr, Malak Naji, Salem Al-Wardat   +2 more
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Hyperbolic Heat Conduction Equation

2016
In recent years considerable interest has been aroused to the problem of high-temperature heat conduction of solid-state body subject to strong high-frequency electronic and laser beams [1].
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Certain Anomalies in the Analysis of Hyperbolic Heat Conduction

Journal of Heat Transfer, 2001
The hyperbolic diffusion equation is often used to analyze laser heating of dielectric materials and in thermal processing of nonhomogeneous materials. In this paper, anomalies in existing solutions of the hyperbolic heat equation are identified. In particular, the singularities associated with the interaction of a wave front and a boundary may cause a
A. Haji-Sheikh, W. J. Minkowycz, E. M. Sparrow   +2 more
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Transient hyperbolic heat conduction in thick-walled FGM cylinders and spheres with exponentially-varying properties

European Journal of Mechanics, A/Solids, 2011
This paper focuses on non-Fourier hyperbolic heat conduction analysis for heterogeneous hollow cylinders and spheres made of functionally graded material (FGM).
C. Conker, Conker, C., I. Keles, Keles, I.   +3 more
exaly   +2 more sources

On Hyperbolic Heat Conduction and the Second Law of Thermodynamics

Journal of Heat Transfer, 1995
For situations in which the speed of thermal propagation cannot be considered infinite, a hyperbolic heat conduction equation is typically used to analyze the heat transfer. The conventional hyperbolic heat conduction equation is not consistent with the second law of thermodynamics, in the context of nonequilibrium rational thermodynamics.
C. Bai, A. S. Lavine
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Hyperbolic-heat-conduction theories and nondecreasing entropy

Physical Review B, 1999
A method to check the consistency between the predictions of hyperbolic-heat-conduction theories and the principle of nondecreasing entropy is proposed. Then the method is applied to check the consistency between the principle and two hyperbolic-heat-conduction theories recently presented in the literature.
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Hyperbolic heat conduction with variable relaxation time

1996
Summary: There are several competing phenomenological models for the propagation of heat pulses. The semi-empirical heat conduction model uses the internal variable approach. It was previously shown that this model is in accordance with observed behaviour.
K. FRISCHMUTH, CIMMELLI, Vito Antonio
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