Analytical solution for time-dependent flow of a third grade fluid induced due to impulsive motion of a flat porous plate

Abstract

The aim of the present communication is to discuss the analytical solution for the unsteady flow of a third grade fluid which occupies the space y > 0 over an infinite porous plate. The flow is generated due to the motion of the plate in its own plane with an impulsive velocity V (t). Translational symmetries in variables t and y are utilized to reduce the governing non-linear partial differential equation into an ordinary differential equation. The reduced problem is then solved using homotopy analysis method (HAM). Graphs representing the solution are plotted and discussed and proper conclusions are drawn.