Theoretical and Numerical Analysis of MHD Flows Through a Porous Material

This paper studies the transient MHD flow around a porous material passing through an ascending perpendicular plate. The medium appears as a grey fluid that absorbs radiation but does not scatter. This model is based on nonlinear differential equations. The most important aspect of this research is finding a closed-form solution to a nonlinear coupled partial differential equation system. Numerical techniques and homotopy perturbations are employed to solve a set of nonlinear equations. The influence of flux parameters on velocity and temperature profiles is discussed. Analytical results are confirmed only by simulation results. A satisfactory agreement is recorded.