%0 Journal Article %T A Series Solution for Three-Dimensional Navier-Stokes Equations of Flow near an Infinite Rotating Disk %A Hamed Shahmohamadi %A Mahdi Mohammadpour %J World Journal of Mechanics %P 117-127 %@ 2160-0503 %D 2014 %I Scientific Research Publishing %R 10.4236/wjm.2014.45014 %X

In this paper, homotopy analysis method (HAM) and Pad¨¦ 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-Pad¨¦ is an appropriate method in solving the systems of nonlinear equations.

%K Homotopy Analysis Method %K Padé %K Approximant %K Navier-Stokes Equations %K Rotating Disk %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=46259