• Exact solution of the nonlinear fin problem with exponentially temperature-dependent thermal conductivity and heat transfer coefficient

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    • Keywords


      Exact solution; exponentially temperature-dependent thermal conductivity; exponentially temperature-dependent heat transfer coefficient; fin efficiency; non-linear fin problem; convective fin.

    • Abstract


      This article studies a class of fin problems with two nonlinear terms arising from thermal conductivity and convection heat transfer coefficient. A one-dimensional convective straight fin is analysed for exponentially temperature-dependent thermal conductivity and exponentially temperature-dependent heat transfer coefficient. The exact fin temperature excess, heat transfer rate and fin efficiency are obtained and presented graphically. The obtained results show the strong influences of exponent indexes of thermal conductivity and convection transfer coefficient as well as thermogeometric fin parameter on the fin efficiency and heat flow.

    • Author Affiliations



      1. School of Civil Engineering, Central South University, Changsha 410075, China
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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