A geometrically similar model of an air duct is built 1:30 scale and tested with water which is 50 times more viscous and 800 times more dense than air. When tested under dynamically similar conditions, the pressure drop is 2.25 atm in the model. Find the corresponding pressure drop in the full-scale prototype.
Dimensions of the model = 1/30 times the dimensions of prototype
Viscosity of fluid in the model = 50 times the viscosity of fluid in prototype
Density of fluid in the model = 800 times the density of the fluid in prototype
For dynamic similarity, ratio of forces to be equal