On the steady flow between a rotating and a stationary disk with a uniform suction at the stationary disk

Abstract

The steady axisymmetric flow of a viscous incompressible fluid between two coaxial disks, one rotating and the other stationary, with uniform suction at the stationary disk is discussed. Similarity solutions of Navier-Stokes equations are obtained by the method of regular perturbation for small suction Reynolds number and numerically for an arbitrary suction Reynolds number by a series expansion method and also by integrating directly by a Newton-Raphson technique. It is found that for a fixed rotational Reynolds number and varying suction Reynolds number there is an overall increase in the velocity components as the suction increases.