ANALYSIS OF PHYSICAL VARIABLES FOR MAGNETO-HYDRO DYNAMIC (MHD) FLOW THROUGH A VERTICAL DEFORMABLE LAYER

Abstract

This study shows the analysis of physical variables for MHD flow through a vertical deformable layer. The bounding vertical plates y=0 and y= h is sustained at different constant temperature T0 and T w respectively. The movement of the fluid and solid deformation are considered in the porous medium. Also, equations governing the velocity of the fluid and displacement of the solid are derived in the vertical deformable porous medium. Substantial results are obtained for the various values of parameters such as Gash of no Gr , magnetic parameters, heat source α, drag coefficient δ, volume fraction of the fluid in porous layer. The Adomian decomposition scheme was also implemented using the software package known as MATHEMATICA. The results obtained from using the MATHEMATICA package were explained using graphical method. The results obtained shows that the drag coefficient increases as the displacement increases and that as the displacement increases the heat source also increases.