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Non‐perturbative solution of three‐dimensional Navier–Stokes equations for the flow near an infinite rotating disk
Author(s) -
Yıldırım Ahmet,
Sezer Sefa Anıl
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1246
Subject(s) - mathematics , homotopy perturbation method , nonlinear system , homotopy analysis method , mathematical analysis , flow (mathematics) , navier–stokes equations , perturbation (astronomy) , homotopy , mechanics , physics , geometry , compressibility , pure mathematics , quantum mechanics
In this paper, we present Homotopy perturbation method (HPM) and Padé technique, for finding non‐perturbative solution of three‐dimensional viscous flow near an infinite rotating disk. We compared our solution with the numerical solution (fourth‐order Runge–Kutta). The results show that the HPM–Padé technique is an appropriate method in solving the systems of nonlinear equations. The mathematical technique employed in this paper is significant in studying some other problems of engineering. Copyright © 2009 John Wiley & Sons, Ltd.