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TLM representation of the hyperbolic heat conduction equation. (English) Zbl 0996.65092

Summary: 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 fields predicted by the model are compared with analytical results for the same physical situation.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L15 Initial value problems for second-order hyperbolic equations
80A20 Heat and mass transfer, heat flow (MSC2010)
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