Study of some exact solutions of Navier-stokes equations for steady flow of viscous fluid

Abstract

The Navier-Stokes equations are the system ofnon-linear partial differential equations governing the motion of a Newtonian fluid. This study is based on three kind of flows of obtaining the Exact solutions of Navier-Stokes equations which are:Flows for which the non-linear terms of Navier-Stokes equations vanish identically such as parallel flow,Flow with similarity properties such that the flowequations reduces to set of ODEs-Ordinary differential equations(Stagnation point flowwas used as an example of such flow)and Flows for which the vorticity function is so chosen that the governing equations reduces to a linear equation.In each case the governing equations were formulated and the method of obtaining the exact solutions was analysed.