An infinitely long solid circular cylinder of radius a is immersed in a viscous fluid of infinite extent

An infinitely long solid circular cylinder of radius a is immersed in a viscous fluid of infinite extent. The cylinder rotates at constant angular velocity 0 about its axis. (a) (3 points) Find the resulting steady motion of the fluid, assuming that it is potential flow. (b) (2 points) Use your solution from part (a) to show that this motion is irrotational. (c) (2 points) Find the circulation about the cylinder. (d) (3 points) Now find the velocity field if you instead assume that the fluid is highly viscous (Stokes flow).