Exact solutions of Navier stokes equations in porous media

Abstract

This paper investigates exact solutions of steady Navier Stokes equations of an incompressible viscous fluid in a porous medium. Different flow situations are investigated using vorticity as a stream function. Making use of stream function, the two-dimensional flow equations are transformed into non-linear compatibility equation, and then it is linearized by vorticity function. Stream functions and velocity distributions are discussed for various flow situations.