TLM representation of the hyperbolic heat conduction equation

Pulko, S. H.; Wilkinson, A. J.; Saidane, A.

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.

Citation

Pulko, S. H., Wilkinson, A. J., & Saidane, A. (2002). TLM representation of the hyperbolic heat conduction equation. International journal of numerical modelling, 15(3), 303-315. https://doi.org/10.1002/jnm.445

• Journal Article Type: Article
• Acceptance Date: Jun 30, 2002
• Online Publication Date: Apr 23, 2002
• Publication Date: 2002-05
• Journal: INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AN
• Print ISSN: 0894-3370
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 15
• Issue: 3
• Pages: 303-315
• DOI: https://doi.org/10.1002/jnm.445
• Keywords: Modelling and Simulation; Electrical and Electronic Engineering; Computer Science Applications
• Public URL: https://hull-repository.worktribe.com/output/396203