MHD effects on convective flow of dusty viscous fluid with volume fraction

The problem of laminar convective flow of an incompressible, conducting, viscous fluid embedded with non-conducting dust particles in the presence of uniform magnetic field and constant pressure gradient taking volume fraction of a dust particles into account when one plate of the channel is fixed and the other is oscillating in time and magnitude about a constant non-zero mean is formulated. Solutions are obtained for the velocity of fluid, dust particles and the fluid temperature within the channel. The effects of various parameters on the velocities are shown graphically and discussed. It is found that both the velocity of the liquid and dust particles decreases with the increase in the porous parameter.