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2012 Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem
R. J. Moitsheki, M. D. Mhlongo
J. Appl. Math. 2012: 1-13 (2012). DOI: 10.1155/2012/671548

Abstract

We consider the one-dimensional steady fin problem with the Dirichlet boundary condition at one end and the Neumann boundary condition at the other. Both the thermal conductivity and the heat transfer coefficient are given as arbitrary functions of temperature. We perform preliminary group classification to determine forms of the arbitrary functions appearing in the considered equation for which the principal Lie algebra is extended. Some invariant solutions are constructed. The effects of thermogeometric fin parameter and the exponent on temperature are studied. Also, the fin efficiency is analyzed.

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R. J. Moitsheki. M. D. Mhlongo. "Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem." J. Appl. Math. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/671548

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1234.35277
MathSciNet: MR2872355
Digital Object Identifier: 10.1155/2012/671548

Rights: Copyright © 2012 Hindawi

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