NEW ANALYTICAL SOLUTION OF THE THREE-DIMENSIONAL NAVIER-STOKES EQUATIONS

The purpose of this study is to implement a new analytical method (the DTM-Pade technique, which is a combination of the differential transform method (DTM) and the Pade approximation) for solving Navier-Stokes equations. In this letter, we will consider the DTM, the homotopy perturbation method (HPM) and the Pade approximant for finding analytical solutions of the three-dimensional viscous flow near an infinite rotating disk. The solutions are compared with the numerical (fourth-order Runge-Kutta) solution. The results illustrate that the application of the Pade approximants in the DTM and HPM is an appropriate method insolving the Navier-Stokes equations with the boundary conditions at infinity. On the other hand, the convergence of the obtained series from DTM-Pade is greater than HPM-Pade.