Modeling Magnetohydrodynamics Flow of Continuous Dusty Particles in a Non-Newtonian Darcy Fluid Between Parallel Plates

Abstract

This paper deal with the study of Magnetohydrodynamics (MHD) flow of continuous dusty particles in a Non-Newtonian Darcy fluid between parallel plates where the lower plate is kept fixed and the upper plate is moving with some velocity. The analytical solutions of the coupled equations were obtained using direct integration and Eigenfunction expansion techniques after transformation. The resistive forces of Dracy porous medium and the external uniform magnetic field were applied on the flow. The effects of the continuous dusty fluid, non-Newtonian fluid, Darcy model were shown for both the fluid and dust particles. Some results obtained shows that increase in Hartmann number leads to a considerable decrease in the velocity of both the fluid phase and that of the particle phase as well as increase in viscosity ration leads to a slight decrease in the velocity of the fluid but a considerable decrease in the velocity of the particles.