A Variant of the Classical Von Kármán Flow for a Couple Stress Fluid

Abstract

We present an attempt to study the influence of couple stresses on the flow induced by an infinite disk rotating with a constant angular velocity. The governing equations of motion in three dimensions are treated analytically yielding the derivation of exact solutions which differ from those corresponding to the classical Von Kármán's Bow. The analysis reveals that a boundary layer structure develops near the surface of the disk, whose far-field behaviour is distinct from the near-wall solution. The velocity and vorticity components for various values of the dimensionless parameters, associated with the flow, are presented graphically.