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
TLM representation of the hyperbolic heat conduction equation
โ Scribed by S. H. Pulko; A. J. Wilkinson; A. Saidane
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 131 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0894-3370
- DOI
- 10.1002/jnm.445
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โฆ Synopsis
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, a parameterized nodal structure for transmission line modelling (TLM) representation of hyperbolic heat conduction processes is devised. A TLM model based on the nodal structure is implemented and temperature field predicted by the model are compared with analytical results for the same physical situation. Copyright ยฉ 2002 John Wiley & Sons, Ltd.
๐ SIMILAR VOLUMES
A number of improved finite-difference solutions of explicit form have been reported recently. The choice of a particular solution of these improved explicit forms is dependent on the value of the non-dimensional time step as well as whether the process involves cooling or heating. The conditions fo