Numerical Investigation of MHD Natural Convection Flow in Porous Media: A Comparative Study of Cavity Geometry Shapes

In the current study, we considered a ۲D enclosed porous media in three cases: rectangular, rectangular with chamfer corners, and pentagon with variable hollows. The impact of three cavity shapes, including triangle, rectangle, and lozenge shapes, on the Nusselt number at the local state, vertical velocity, total entropy, horizontal velocity, and isotherm of the porous enclosure is analyzed. The finite element method (FEM) is used to solve governing equations for fluid flow and heat transfer in a saturated non-Darcy porous medium with dissipation influences and radiation, subject to corresponding boundary conditions. In this work, we presented the pentagonal porous media shape (Case ۳) as a novelty. The impact of the dimensionless parameters, such as Eckert number, on velocity profiles and temperature distribution is discussed for nine modes of different porous media geometries with varied hollows. The essential dimensionless parameters have been simulated by employing the following ranges: radiation parameter (۰.۵