A discharge meter to be used in a 40 cm pipeline carrying oil (kinematic viscosity = 10-5 m2/s, density = 860 kg/m3) is to be calibrated by means of a model (1/4 scale) carrying water (T = 20°C and standard atmospheric pressure). If the model is operated with a velocity of 1 m/s, find the velocity for the prototype based on Reynold's number scaling. For the given conditions, if the pressure difference in the model was measured as 3.0 kPa,
what pressure difference would you expect for the discharge meter in the oil pipeline?