Air at 68◦F flows in a prototype circular pipe with a diameter of 5 ft and an absolute pipe roughness of 0.005 ft fitted with a 90◦ bend with a round radius, r of 10 ft, as illustrated in Figure EP...

Air at 68◦F flows in a prototype circular pipe with a diameter of 5 ft and an absolute pipe roughness of 0.005 ft fitted with a 90◦ bend with a round radius, r of 10 ft, as illustrated in Figure EP 11.14. A smaller model of the larger prototype is designed in order to study the flow characteristics of turbulent pipe flow with a pipe component. The model fluid is water at 70◦F, the velocity of water in the smaller model pipe is 50 ft/sec, and the model scale, λ is 0.2. The flow resistance is modeled by the minor loss coefficient, k = CD. (a) Determine the pressure drop (and head loss) in the flow of the water in the model. (b) Determine the velocity flow of the air in the prototype pipe flow in order to achieve dynamic similarity between the model and the prototype. (c) Determine the pressure drop (and head loss) in the flow of the air in the prototype in order to achieve dynamic similarity between the model and the prototype.