TLM representation of the hyperbolic heat conduction equation

descriptionPublicationkeyboard_double_arrow_right Article 23 Apr 2002 United Kingdom English Publisher:WileyJournal:International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, volume 15, pages 303-315 (issn: 0894-3370, eissn: 1099-1204,

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

doi: 10.1002/jnm.445

TLM representation of the hyperbolic heat conduction equation

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Abstract

AbstractMany 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 © 2002 John Wiley & Sons, Ltd.

Country

United Kingdom

Related Organizations

University of Hull
United Kingdom
University of Oran
Algeria

Keywords

parabolic thermal diffusion equation, transmission line modelling, hyperbolic heat conduction, Modelling and Simulation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, heat transfer, Heat and mass transfer, heat flow, Initial value problems for second-order hyperbolic equations, Electrical and Electronic Engineering, Computer Science Applications, 620

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