The pressure drop between the entrance and exit of a 150-mm-diameter 90° elbow through which ethyl alcohol at 300 K is flowing is to be determined with a geometrically similar model. The velocity of the alcohol is 5 m/s and the model fluid is to be water at 20°C with a velocity limited to 10 m/s. Determine
(a) the required diameter of the model elbow to maintain dynamic similarity and
(b) the prototype pressure drop if the measured pressure drop in the model is 20 kPa.