Development of Exact Analytical Solution for Nonlinear Heat transfer Equation of Natural Convection Porous Fin

M. G. Sobamowo; O. A. Adeleye

M. G. Sobamowo Department of Mechanical Engineering, University of Lagos, Lagos, Nigeria
O. A. Adeleye Department of System Engineering, University of Lagos, Lagos, Nigeria

Keywords: Model, numerical solution, thermal energy.

Abstract

The inclusion of nonlinear term in heat transfer models makes it very difficult to develop exact analytical solutions to the problem. Consequently, recourse has been made to numerical or approximate analytical methods. However, the classical way for finding exact analytical solution is obviously still very important since it serves as an accurate benchmark for numerical and approximate analytical solutions. Therefore, in this work, exact analytical solution is developed using Gauss hypergeometric function for the nonlinear equation arising during heat transfer in porous fin. The developed model was validated with numerical method of solutions and the results were in good agreement. The developed exact analytical model can be compared with other approximate analytical methods found in the literature which are used for solving similar problems

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