Question: contourplot

I am modelling a flow down an infinite porous pipe which has fluid being sucked out of it or pumped into it depending on the sign of certain quantities.

I have the stream function Ψ=vwxF(η) where η=y/a. vw is a constant representing the velocity at the wall in the y-direction. I have worked out using the Navier-Stokes Equations and the boundary conditions that F(η)=-(1/2)η+(3/2) η.

How would I draw a contour plot of the streamlines for this flow? The streamlines are when Ψ=constant so I need to try plotting xF(η)=constant or x=constant/F(η).



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