Film Thickness within a Fixed Vertical Circular Cylinder

Abstract

The unsteady flow of a elastico viscous fluid of second grade  fluid within a circular cylinder has been examined. The nature of the flow and the film thickness has been obtained in terms of modified Bessel functions. The zeros of the modified Bessel functions would give raise to the explicit evaluation of film thickness. The effect of inertia term is only to introduce the exponentially decaying unsteady terms, and may be concluded that the contribution of the inertia term do not qualitatively alter the steady state profiles.