Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method

In this paper, the steady thin film flow on the outer surface of long vertical cylinder of non-Newtonian Johnson-Segalman fluid for lifting and drainage problems have been investigated. Adomian decomposition (ADM) and numerical methods are applied for the solutions of the non-linear problems. Expressions for the velocity field and average velocity have been derived for both the problems, respectively. For Weissenberg number We=0, we retrieve Newtonian cases for both the problems. We also obtain the results for Maxwell fluid by taking slip parameter a=1. We also discussed the effect of the Stokes number St, the Weissenberg number We, the ratio of viscosities ϕ and the slip parameter a on the fluid flows.