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TLM representation of the hyperbolic heat conduction equation
Author(s) -
Pulko S. H.,
Wilkinson A. J.,
Saidane A.
Publication year - 2002
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.445
Subject(s) - thermal conduction , heat equation , representation (politics) , ftcs scheme , parameterized complexity , heat transfer , hyperbolic partial differential equation , relativistic heat conduction , mathematics , field (mathematics) , mathematical analysis , mechanics , thermal , partial differential equation , physics , thermodynamics , differential equation , heat flux , pure mathematics , algorithm , politics , political science , law , differential algebraic equation , ordinary differential equation
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 © 2002 John Wiley & Sons, Ltd.