World Journal of Mechanics
Volume 4, Issue 5 (May 2014)
ISSN Print: 2160-049X ISSN Online: 2160-0503
Google-based Impact Factor: 1 Citations h5-index & Ranking
A Series Solution for Three-Dimensional Navier-Stokes Equations of Flow near an Infinite Rotating Disk ()
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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.
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