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A model centrifugal pump with impeller diameter 365 mm is tested at its design operating condition. The test gives the following data when pumping water, speed = 870 rev/min head = 18.9 m capacity = 73.7 L/s efficiency = 89%.
A geometrically similar pump is to be designed to pump a fluid with relative density 0.78 against a head of 85 m with a flow of 450 L/s.
Determine:
A) The impeller size?
B) The speed?
C) The power input at the design point of the prototype pump?