Application of differential transformation method and Padé approximant for the Glauert-jet problem

Recently significant patents have been devoted to plane wall jet systems. In this paper, the self-similar wall jet over an impermeable, resting plane surface known as the Glauert-jet is analyzed. The DTM and Padé Approximant were used to find analytical solution. In order to verify the accuracy of the proposed method, the resultant data were then compared with previously obtained results using the homotopy analysis method (HAM), method of weighted residuals method (MWR), variational iteration method (VIM) and exact solution. It can be concluded that the DTM-Padé can achieve more reliable results in calculating the solution of such problems.