The study of flow past porous boundaries has several important applications in the fields of science, engineering, technology, bio physics, and astrophysics and space dynamics. Transpiration cooling of re-entry vehicles and rocket boosters, cross hatching on the ablative surfaces and film vaporization in combustion chambers are few such applications. In the chemical and nuclear reactors the problem assumes greater significance. Over a period of time, in all chemical reactors, slurry adheres to the walls of the reactor and gets consolidated. As a result of which, the chemical compounds within the reactor percolates through the boundaries causing either loss of production and or consuming more reaction time.