Analytical solution of three-dimensional Navier–Stokes equations for the flow near an infinite rotating disk

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• 作者：Mohammad Mehdi Rashidi ; Hamed Shahmohamadi
• 关键词：Variational iteration method (VIM) ; Padé ; approximant ; Navier– ; Stokes equations
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2009
• 出版时间：July 2009
• 年：2009
• 卷：14
• 期：7
• 页码：2999-3006
• 全文大小：368 K

文摘

In this letter, we will consider variational iteration method (VIM) and Padé approximant, for finding analytical solutions of three-dimensional viscous flow near an infinite rotating disk. The solutions is compared with the numerical (fourth-order Runge–Kutta) solution. The results illustrate that VIM–Padé is an appropriate method in solving the systems of nonlinear equations. It is predicted that VIM–Padé can have wide application in engineering problems (especially for boundary-layer and natural convection problems).