Exact Solutions of Unsteady Dusty Fluid flow through Porous Media in an Open Rectangular Channel

Solutions are presented for the problem of the motion of a dusty gas through Porous Media in an Open Rectangular Channel. It is assumed that the fluid and the dust particle clouds are static at the beginning. The flow is due to the influence of time dependent pressure gradient. Flow analysis is carried out in Frenet frame field system and exact solutions of the problem are obtained by solving the partial dierential equations using Laplace and Finite Fourier sine transform methods. Further graphs drawn for dierent values of Reynolds number and on basis of these the conclusions are given. Finally, the expressions for skin-friction are obtained at the boundaries.