Transient Heat Diffusion with Temperature-Dependent Conductivity and Time-Dependent Heat Transfer Coefficient

Raseelo J. Moitsheki

Mathematical Problems in Engineering, 2008, vol. 2008, 1-9

Abstract:

Lie point symmetry analysis is performed for an unsteady nonlinear heat diffusion problem modeling thermal energy storage in a medium with a temperature-dependent power law thermal conductivity and subjected to a convective heat transfer to the surrounding environment at the boundary through a variable heat transfer coefficient. Large symmetry groups are admitted even for special choices of the constants appearing in the governing equation. We construct one-dimensional optimal systems for the admitted Lie algebras. Following symmetry reductions, we construct invariant solutions.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:347568

DOI: 10.1155/2008/347568

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