Heat transfer in MHD oscillatory flow of dusty fluid in a rotating porous vertical channel

Abstract

An analysis of the unsteady flow of a dusty viscous, incompressible, electrically conducting fluid in a vertical porous channel rotating with constant angular velocity under the influence of periodic pressure gradient is presented. The left porous plate of the channel is subjected to a uniform injection and the right porous plate to same uniform suction respectively. A magnetic field of uniform strength is applied perpendicular to the planes of the plates. The magnetic Reynolds number is assumed to be small enough so that the induced magnetic field is negligible. The whole system rotates in unison about the axis normal to the planes of the plates. Analytical solutions for the velocities and temperatures of the fluid and the dust particles are obtained. The influence of the various parameters appearing in the equations of velocities and temperatures of the fluid and the dust particles have been numerically evaluated and expressed graphically.