## Abstract Many heat transfer situations are adequately described by the parabolic thermal diffusion equation. However, in situations in which very rapid heating occurs or in slower heating regimes for particular materials, the hyperbolic heat conduction equation is a better representation. Here,
Hyperbolic heat conduction and the second law
โ Scribed by M.B. Rubin
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 1019 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0020-7225
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๐ SIMILAR VOLUMES
The ยฎnite element solution of the hyperbolic heat conduction equations is addressed. The governing system of equations is solved for the temperature and heat ยฏuxes as independent variables. A standard Galerkin method is used for the spatial discretization and a CrankยฑNicolson method is adopted for m
## Abstract We consider a conserved phaseโfield system of Caginalp type, characterized by the assumption that both the internal energy and the heat flux depend on the past history of the temperature and its gradient, respectively. The latter dependence is a law of GurtinโPipkin type, so that the eq