Exact solutions of magnetohydrodynamic flow of PTT fluid

Abstract

An attempt is made for the first time to investigate the magnetohydrodynamic (MHD) flow of Phan-Thien Tanner fluid by finding travelling wave solution. By using non-dimensional variables, partial differential equation has been converted into ordinary differential equation. The resulted nonlinear ordinary differential equation is solved by using well known G/ / G expansion method and He’s semi inverse method. We applied He’s semi-inverse method to construct a variational theory for MHD flow of PTT fluid, which helped to get the solitary solution by using Ritz method. The G/ / G-expansion method is used to seek more general exact solutions. In these methods, it is not important to have boundary conditions as we can get many useful solutions by simulations on the base of the variables appearing in the solution.