A centrifugal pump operating at 1.800 rpm is to be designed to handle a liquid hydrocarbon of

Question:

A centrifugal pump operating at 1.800 rpm is to be designed to handle a liquid hydrocarbon of specific gravity 0.95. To check its performance, a half-scale model is to be tested, operating at 1,200 rpm, pumping water. The scale model is found to deliver 200 gpm with a head increase of 22.6 ft. Assuming dynamical similarity (equality of the appropriate dimensionless groups), what will be the corresponding flow rate (gpm) and head increase (ft) for the full-size pump?
Figure pump head/discharge characteristic curie.