๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

TLM representation of the hyperbolic heat conduction equation

โœ 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

No coin nor oath required. For personal study only.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


On numerical solution of hyperbolic heat
โœ Manzari, Mehrdad T. ;Manzari, Majid T. ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 390 KB

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

Improved finite-difference solutions of
โœ Bhattacharya, M. C. ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 387 KB ๐Ÿ‘ 3 views

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