Fluid Mechanics - Centrifugal Pump?

Fluid Mechanics - Centrifugal Pump?



What is the pump head (in feet) for a centrifugal pump of the following dimensions, for a volumetric flow rate of 100 gpm? Assume zero friction. The equation for the pump head is: 

h = (v1^2 - v4^2)/2g + (r3^2 - r2^2)w^2 / 2g 

Where 1= inlet pipe, 2=eye of the impeller, 3=tip of the impeller, 4= outlet pipe. 
inlet pipe: 2-in nominal diameter (=2.067 in) 
outlet pipe: 1.5-in nominal diameter (=1.61 in) 
impeller inner diameter: 2.067 in 
impeller outer diameter: 6.75 in 
rotational velocity: 1750 rpm 
Q = 100 gpm





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