Some exact solutions of two-dimensional Navier–Stokes equations by generalizing the local vorticity

This article is proposed to discuss the solutions of two-dimensional equations of motion for viscous fluid. Different situations for the solution have been investigated while employing inverse solution methods. On assuming the stream functions in a certain form without prescribing boundary conditions, the expressions for streamlines and velocity components are explicitly presented. Moreover, a series of graphical results for streamlines and velocity components are plotted.