Some Exact Solutions of Nonlinear Fin Problem for Steady Heat Transfer in Longitudinal Fin with Different Profiles

M. D. Mhlongo and R. J. Moitsheki

Advances in Mathematical Physics, 2014, vol. 2014, 1-16

Abstract:

One-dimensional steady-state heat transfer in fins of different profiles is studied. The problem considered satisfies the Dirichlet boundary conditions at one end and the Neumann boundary conditions at the other. The thermal conductivity and heat coefficients are assumed to be temperature dependent, which makes the resulting differential equation highly nonlinear. Classical Lie point symmetry methods are employed, and some reductions are performed. Some invariant solutions are constructed. The effects of thermogeometric fin parameter, the exponent on temperature, and the fin efficiency are studied.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:947160

DOI: 10.1155/2014/947160

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