Unsteady boundary-layer viscous flow due to an impulsively started porous plate

Abstract

In this paper, we investigate the unsteady boundary-layer flow of an incompressible viscous fluid over an impulsively started porous flat plate in a constant velocity free-stream flow. The governing nonlinear partial-differential equations are simplified by the use of suitable similarity transformations. The resulting equation is then solved analytically using the homotopy analysis method. The present analytic solution is uniformly valid for all time 0 ≤ τ < ∞ in the whole spatial domain. The effect of the suction on the dynamic drag at the moving wall is studied. Also, the behavior of the dynamic drag is studied for different values of the parameter λ. Results are presented as graphs. PACS No.: 47.15.Cb