A Variant of Classical Von Karman Flow for a Second Grade Fluid due to a Rotating Disk

Abstract

An attempt is made to examine the classical Von Karman flow problem for a second grade fluid by using a
generalized non-similarity transformation. This approach is dierent from that of Von Karman’s evolution of the
flow in such a way that the physical quantities are allowed to develop non-axisymmetrically. The three-dimensional
equations of motion for the second grade fluid are treated analytically yielding the derivation of the exact solutions for
the velocity components. The physical interpretation of the velocity components, vorticity components, shear stresses
and boundary layer thickness are also presented.