Numerical Validation Heat Transfer of Rectangular Cross-Section Porous Fins

In this study, heat transfer through a porous fin with the rectangular cross section that is subjected to laminar flow in an isotropic homogeneous medium is investigated. The Darcy model is used to simulate heat transfer in porous media. It is assumed that the fin is one-dimensional and homogenous, the flow is laminar, and the generated heat is a linear function of temperature. In this research, an analytical method is used to obtain the temperature distribution after deriving the heat transfer equation. To validate the obtained solution by the analytical method, it is compared with the results obtained by a numerical method. The mentioned problem is investigated for fins with rectangular geometries. For this purpose, in order to validate the solutions, homotopy analysis method (HAM) is employed. The HAM for different cases is compared with the results obtained by the Runge-Kutta method. The effects of various parameters, including convection and porosity, are examined.