A series solution for three-dimensional Navier-Stokes equations of flow near an infinite rotating disk

2014-06-30T13:24:58Z (GMT) by Hamed Shahmohamadi Mahdi Mohammadpour
In this paper, homotopy analysis method (HAM) and Padé approximant will be considered for finding analytical solution of three-dimensional viscous flow near an infinite rotating disk which is a well-known classical problem in fluid mechanics. The solution is compared to the numerical (fourth-order Runge-Kutta) solution and the convergence of the obtained series solution is carefully analyzed. The results illustrate that HAM-Padé is an appropriate method in solving the systems of nonlinear equations.