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

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  • Raseelo J. Moitsheki

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.

Suggested Citation

  • Raseelo J. Moitsheki, 2008. "Transient Heat Diffusion with Temperature-Dependent Conductivity and Time-Dependent Heat Transfer Coefficient," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-9, September.
    • Handle: RePEc:hin:jnlmpe:347568
    DOI: 10.1155/2008/347568
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