Flow of a viscous incompressible fluid between two parallel plates, one in uniform motion and the other at rest, with suction at the stationary plate

Abstract

In this paper an attempt has been made to find the solution of the Navier-Stokes equations for the flow of a viscous incompressible fluid between two plates, one at rest and the other in uniform motion, with small uniform suction at the stationary plate. A solution has been obtained under the assumption that the pressure between the two plates is uniform. It has been shown that due to suction a linear transverse velocity is superimposed over the longitudinal velocity. With suction, the longitudinal velocity distribution between the plates becomes parabolic and decreases along the length of the plate.