TITLE:
A Series Solution for Three-Dimensional Navier-Stokes Equations of Flow near an Infinite Rotating Disk
AUTHORS:
Hamed Shahmohamadi, Mahdi Mohammadpour
KEYWORDS:
Homotopy Analysis Method, Padé Approximant, Navier-Stokes Equations, Rotating Disk
JOURNAL NAME:
World Journal of Mechanics,
Vol.4 No.5,
May
26,
2014
ABSTRACT: 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.