Consider a steady flow induced by a circular cylinder of radius r0 rotating at surface vorticity ω0 and having a wall-suction velocity ur = -uw = const at r = r0.
a) Set up the problem in polar coordinates assuming no circumferential variations, and show that the vorticity in the fluid is given by (see attachments).
b)Integrate this relation to find the velocity distribution uθ(r) in the fluid and show that the character of the solution is quite different for the tree cases of the wall Reynolds number Re less than, euqal to, or greater than 2.0