• Transient heat transfer in longitudinal fins of various profiles with temperature-dependent thermal conductivity and heat transfer coefficient

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      https://www.ias.ac.in/article/fulltext/pram/077/03/0519-0532

    • Keywords

       

      Heat transfer; longitudinal fin; temperature-dependent heat transfer coefficient and thermal conductivity; symmetry analysis; numerical solutions.

    • 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.

    • Author Affiliations

       

      Raseelo J Moitsheki1 Charis Harley1

      1. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa
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