STREAMLINES PATTERN FOR THE SECOND GRADE FLUID

In this paper, the general solution is found for the partial differential equations describing the steady plane motion of incompressible second grade fluid in the presence of unknown body force when vorticity function satisfies the equation. The general solution of the partial differential equation is obtained using the method of variation of parameters and the method of separation. The exact solutions are found for the flow equations in which four arbitrary functions are involved. Stream functions are found for the steady plane flow equation and the corresponding streamline patterns are drawn. The effects of second grade parameter in the stream function and streamlines patterns are studied and the effect of porosity parameter also discussed for the steady plane motion. The results are reported for conclusion.