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Thermodynamically consistent description of heat conduction with finite speed of heat propagation

โœ Scribed by Isaac Shnaid

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
198 KB
Volume
46
Category
Article
ISSN
0017-9310

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โœฆ Synopsis

In this work, governing equations for heat conduction with finite speed of heat propagation are derived directly from classical thermodynamics. For a one-dimensional flow of heat, the developed governing equation is linear and of parabolic type. In a three dimensional case, the system of nonlinear equations is formulated.

Analytical solutions of the equations for one-dimensional flow of heat are obtained, and their analysis shows characteristic features of heat propagation with finite speed, being fully consistent with classical thermodynamics.

๐Ÿ“œ SIMILAR VOLUMES

Finite element of the heat conduction eq
Finite element of the heat conduction equation with temperature dependent coefficients
โœ George A. Keramidas ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 406 KB

A finite element formulation is derived for the equation of heat conduction with temperature dependent conductivity and heat capacity. The derivation of the finite element model is based on a variational formulation of the heat conduction equation which, together with generalized coordinates, yields