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 dierential 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 nding analytical solutions of the three-dimensional viscous ow near an innite rotat- ing 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 in solving the Navier{Stokes equations with the boundary conditions at innity. On the other hand, the convergence of the obtained series from DTM-Pade is greater than HPM-Pade.

DTM-Pade; HPM-Pade; Navier{Stokes equations.