. The y component of the velocity of a two dimensional, inviscid, incompressible flow is given by v = (4y) ft/s, where y is in ft. Determine the x component of the velocity and then find the magnitude of the velocity at x = 4 ft, y = 3 ft. Then determine expressions for the stream function (ψ) and the velocity potential (Φ). The velocity of the flow at the origin is zero.

Air (c-1.006 kj/kg. k, r-0.287 kj/kg. k) enters a nozzle steadily at 280 kpa and 77°c with a velocity of 50 m/s and exits at 85 kpa and 320 m/s. the heat losses from the nozzle to the surrounding medium at 20°c are estimated to be 3.2 kj/kg. determine (a) the exit temperature and (b) the total entropy change for this process. solve this problem using constant specific heats.