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A series solution for three-dimensional Navier-Stokes equations of flow near an infinite rotating disk
journal contribution
posted on 2014-06-30, 13:24 authored by Hamed Shahmohamadi, Mahdi MohammadpourIn 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.
History
School
- Mechanical, Electrical and Manufacturing Engineering
Published in
World Journal of MechanicsVolume
4Issue
5Pages
117 - 127 (10)Citation
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 (5), pp. 117 - 127.Publisher
© The Authors and Scientific Research Publishing Inc.Version
- VoR (Version of Record)
Publication date
2014Notes
This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ISSN
2160-049XPublisher version
Language
- en