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

摘要

In this letter, we will consider variational iteration method (VIM) and Pade 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-Pade is an appropriate method in solving the systems of nonlinear equations. It is predicted that VIM-Pade can have wide application in engineering problems (especially for boundary-layer and natural convection problems).