Transient heat transfer in longitudinal fins of various profiles with temperature-dependent thermal conductivity and heat transfer coefficient |
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Authors: | RASEELO J MOITSHEKI CHARIS HARLEY |
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Institution: | 1.Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics,University of the Witwatersrand,Wits,South Africa |
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Abstract: | Transient heat transfer through a longitudinal fin of various profiles is studied. The thermal conductivity and heat transfer
coefficients are assumed to be temperature dependent. The resulting partial differential equation is highly nonlinear. Classical
Lie point symmetry methods are employed and some reductions are performed. Since the governing boundary value problem is not
invariant under any Lie point symmetry, we solve the original partial differential equation numerically. The effects of realistic
fin parameters such as the thermogeometric fin parameter and the exponent of the heat transfer coefficient on the temperature
distribution are studied. |
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