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A Series Solution for Three-Dimensional Navier-Stokes Equations of Flow near an Infinite Rotating Disk
Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, UK
Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, UK
- 1 Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, UK
- 2 Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, UK
World Journal of Mechanics·Volume 04 (2014)·Pages 117–127·Published 26 May 2014·DOI10.4236/wjm.2014.45014
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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.
KeywordsHomotopy Analysis MethodPadéApproximantNavier-Stokes EquationsRotating Disk
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