Thin film flow of Oldroyd six constant fluid down a vertical cylinder

Abstract

The present paper analysis the thin film flow problem of an Oldroyd six constant fluid falling on the outer surface of an infinitely long vertical cylinder. The thermophysical properties of the fluid are assumed to be independent of temperature and surface tension. The non-Newtonian nature of the fluid under consideration is responsible for introducing nonlinearities in the resulting differential equation. The homotopy perturbation method is applied to the non-linear equation modeling the problem and analytic approximations up to second order are obtained. Expressions for velocity and volume flow rate and the behavior of these expressions for various values of the relevant physical parameters is illustrated graphically. The expression for average film velocity is also reported.