5. (20 pts) The pressure developed by a centrifugal pump depends on the fluid density, the diameter of the pump impeller

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5 20 Pts The Pressure Developed By A Centrifugal Pump Depends On The Fluid Density The Diameter Of The Pump Impeller 1 (26.73 KiB) Viewed 64 times

5 20 Pts The Pressure Developed By A Centrifugal Pump Depends On The Fluid Density The Diameter Of The Pump Impeller 2 (26.54 KiB) Viewed 64 times

5 20 Pts The Pressure Developed By A Centrifugal Pump Depends On The Fluid Density The Diameter Of The Pump Impeller 3 (14.39 KiB) Viewed 64 times

5. (20 pts) The pressure developed by a centrifugal pump depends on the fluid density, the diameter of the pump impeller, the rotational speed of the impeller, and the volumetric flow rate through the pump (centrifugal pumps are not recommended for highly viscous fluids, so viscosity is not commonly an important variable). a. Perform a dimensional analysis to determine the minimum number of variable required to represent the pump performance characteristic in the most general (dimensionless) form. I
5. Continued You have a pump in the field that has a 1.5 ft diameter impeller that is driven by a motor operating at 750 rpm. You want to determine what head the pump will develop when pumping a liquid with a density of 50 lbm/ft? at a rate of 1000 gpm. You do this by running a test in the lab on a scale model of the pump that has a 0.5 ft diameter impeller using water and a motor that runs at 1200 rpm. I b. At what flow rate of water (in gpm) should the lab pump be operated?
C. If the lab pump develops a head of 85 ft at this flow rate, what head would the pump in the field develop with the operating fluid at the specified flow rate? Recall that AP = pgHp, where Hp = pump head. 1