Unsteady Viscous Flow Past a Flat Plate in a Rotating System

Abstract

An exact solution has been obtained for the flow of viscous incompressible fluid bounded by an infinite flat plate in a rotating fluid where both the plate and the fluid rotate in unison with uniform angular velocity Ω about an axis normal to the plate. Initially (t = 0), the fluid at infinity moves with uniform velocity U0 . At time t > 0, the plate suddenly moves with uniform velocity U0 in the direction of the flow. An exact solution has been obtained using Laplace transform technique. It is found that an inertial oscillations occur at large time and do not occur in the absence of rotation. Also, the analytical solutions describing the flow at large and small times are obtained.