Comment on Magnetohydrodynamic non-Darcy mixed convection heat transfer from a vertical heated plate embedded in a porous medium with variable porosity, by Dulal Pal

TL;DR

This paper analyzes the effects of variable porosity and magnetic fields on mixed convection heat transfer along a vertical plate in a porous medium, using numerical solutions of transformed boundary layer equations.

Contribution

It provides a detailed numerical study of magnetohydrodynamic mixed convection with variable porosity in a porous medium, extending previous models to include variable permeability and porosity effects.

Findings

Magnetic field influences flow and heat transfer characteristics.

Variable porosity significantly affects boundary layer behavior.

Numerical results are presented through tables and figures.

Abstract

In the above paper the author treats the boundary layer flow along a vertical flat plate, immersed in a Darcy Brinkman Forchheimer porous medium. The porosity and the permeability of the porous medium are variable across the boundary layer. In addition a magnetic field with constant strength is applied normal to the plate. The fluid temperature at the plate is constant and different from that of the ambient fluid. This temperature difference creates a buoyancy force and the flow is characterized as mixed convection. The partial differential equations of the boundary layer flow are transformed into ordinary differential equations and subsequently are solved with the Runge-Kutta Fehlberg method. The results are presented in two tables and 11 figures.