Injection Flow Past a Porous Plate: Solution to an Unsolved Problem

摘要

It is widely believed that the solution of Navier-Stokes equations for a steady flow at velocity U_∞ (at y= ∞) past an infinite porous plate in the case of injection does not exist since the solution becomes unbounded (White 1991, p-143). However, interestingly, no theoretical justification has been provided to support this "non-existence". Hence it had remained an unsolved problem for the mathematicians for a long time. The present work provides a highly accurate solution to this problem that is valid both for suction as well as injection. The homotopy perturbation method (HPM) is used to solve the problem analytically.