Ex. 3. Specifications for an axial flow coolant pump for one loop of a pressurized water nuclear reactor are: Head Flow rate Speed 85 m 20,000 m³/hr 1490 rpm Diameter Water density Power 1200 mm 714 kg/m³ 4 MW (electrical) The manufacturer plans to build a model. Test conditions limit the available electric power to 500 kW and flow to 0.5 m³/s of cold water. If the model and prototype efficiencies are assumed equal, find the head, speed, and scale ratio of the model. Calculate the dimensionless specific speed of the prototype and confirm that it is identical with the model.