In this paper, the rectilinear flow of a viscous fluid through a two-dimentional parallel channel formed by an impermeable upper wall (y=H) and a permeable lower wall (y=0) was reported. velocity profile in both the channel and the permeable material was obtained, postulating that the slip velocity at the permeable interface differ from the mean filter velocity within the permeable material and that shear effects are transmitted into the body of the material through a boundary-layer region. Experimental values of the mass efflux of a flow over permeable wall was enhanced over the value it would have of the wall were permeable, but that of a flow in the sand fell the value estimated by Darcy's law.