Show that the potential function fai = A(r+ B/r)cos represents the flow of an ideal fluid around a long cylinder. Evaluate the constants A and B if the cylinder is 40 mm radius and the velocity of the main flow is 3 m/s. b. Obtain expressions for the tangential and radial velocities and hence the stream function y. Evaluate the largest velocity in the directions parallel and perpendicular to the flow direction. (6 m/s for tangential velocity) C. d. A small neutrally buoyant particle is released into the stream at r = 100 mm and 0 = 1500. Determine the distance at the closest approach to the cylinder. (66.18 mm)