A rudder is tested in a two-dimensional flow tunnel of height h = 1 m, as shown in the following figure. After the flow has become steady, the horizontal velocity far ahead of the rudder is found to be uniform and given by u = U = 2 m/s. Some distance downstream, the velocity profile can be (very) roughly approximated by a region inside the wake with u = U/2 and an exterior region with u = 3U/2. You may assume that the total pressure at the downstream station is uniform across the tunnel and given by the value at the wall. Neglecting gravitational effects:
a. Determine the height of the wake region H.
b. Assuming ideal fluid flow (no shear stress), calculate the difference in pressure at point A and point B (i.e. pA - pB).
c. Calculate the drag force on the body.