Suppose that in a region of steady flow the velocity of a fluid is given by v =  Ω × r, where r is the vector from a fixed point in space. Describe the streamlines of this flow. Show that ∇ · v = 0, so this flow is consistent with the fluid being incompressible. Compute the circulation Γ on a circle of radius R about the center of the flow. Show that the fluid is rotating with angular velocity and that the vorticity is ω = 2Ω.