Classical Model of Prandtl's Boundary Layer Theory for Radial Viscous Flow: Application of (G '/G)-Expansion Method

摘要

In this paper, the exact closed-form solutions of the Prandtl's boundary layer equation for radial flow models with uniform or vanishing mainstream velocity are derived by using the (G'/G)-expansion method. Many new exact solutions are found for the boundary layer equation, which are expressed by the hyperbolic, trigonometric and rational functions. The solutions are valid for all values of the parameter beta. It is shown that the (G'/G)-expansion method is effective and can be used for many other nonlinear differential equations of mathematical physics.