Pulsatile flow of an unsteady dusty fluid through rectangular channel

The geometry of laminar flow of an unsteady viscous fluid with uniform distribution of dust particles through a rectangular channel under the influence of pulsatile pressure gradient has been considered. Initially the fluid and dust particles are at rest. The analytical expressions for velocities of fluid and dust particles is obtained by solving the partial differential equations using variable separable method and Laplace transform technique. The skin friction at the boundary plates are also calculated. Finally the changes in the velocity profiles with s and n are shown graphically.