Application of different analytical methods to equation system of Bodewadt’s fixed disc and rotating stream

The similarity transform for the steady three-dimensional problem of a rotating stream over a fixed disc gives a system of nonlinear ordinary differential equations which are analytically solved by homotopy perturbation, homotopy analysis and variational iteration methods. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form except for the variational iteration method in which the solutions are obtained at the end of each iteration. The convergence of the obtained series solutions from homotopy analysis method (HAM) is carefully analyzed. Comparison of the results of the applied method with the numerical solution is also provided in this paper.