WJM  Vol.4 No.5 , May 2014
A Series Solution for Three-Dimensional Navier-Stokes Equations of Flow near an Infinite Rotating Disk
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.
Cite this paper: Shahmohamadi, H. and Mohammadpour, M. (2014) A Series Solution for Three-Dimensional Navier-Stokes Equations of Flow near an Infinite Rotating Disk. World Journal of Mechanics, 4, 117-127. doi: 10.4236/wjm.2014.45014.

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