Drainage of the Oldroyd eight constant fluid down an inclined plane using the Adomian and variational iteration methods

Abstract

This paper investigates the drainage of an Oldroyd eight constant fluid down an inclined plane. Analytical expressions for the velocity field are developed by using the variational iteration method (VIM) and the Adomian decomposition method (ADM). Comparison between these two methods shows that the VIM is more efficient than the ADM from a computational viewpoint; also it solves the nonlinear problems without using the Adomian polynomials. Further, the series solution obtained by the VIM shows a faster rate of convergence than with the ADM with easily computable components. The conclusion is that the VIM may be considered as an alternative and powerful method for solving nonlinear problems arising in non-Newtonian fluid mechanics.