The numerical study on the MHD natural convection trend of square/circle corrugated porous media

Abstract

In this study, magnetohydrodynamic (MHD) natural convection flow investigated a large heat transfer trend in a uniform magnetic field in a finite element approach. For verification, calculation in results adjusted high stream function, temperature distribution, and the average Nusselt trend in natural convection of MHD. This research presents an innovative contribution by analyzing corrugated geometries, specifically focusing on the square-corrugated (SW) and circle-corrugated (CW) configurations. Additionally, The influence of key parameters constituting Hartman number, Rayleigh number, and Darcy number, which largely affects velocities, temperature, and Nusselt number, was accurately observed in the present study. To computationally resolve, wave influence is a large in-stream behavior but has not influenced temperature distribution or Darcy parameter. The maximum and the minimum value in the average Nusselt number related to S at Da=10−5 in case 1 and WC at Da=10−5 in case 2, respectively. Furthermore, decreasing the Darcy parameter value increases the velocity u and velocity v strength in both cases.