A hydraulics engineer is planning to utilize the water flowing in a stream, normally able to provide water at a flow rate of 2.7 m3 /s, and a head of 13 m for power generation. The engineer is planning to use a 2.0 m diameter turbine operating at a rotational speed of 360 rpm and at a hoped for efficiency of 88%.
a. Determine the likely power developed by the turbine, the specific speed and specific diameter, and the most suitable type of turbine for this duty.
b. The engineer then decides, first of all, to test a geometrically similar model turbine with a diameter of 0.5 m (operating at the same specific speed and specific diameter as the prototype) and with a head of 4.0 m. Determine, for the model, the volume flow rate, the rotational speed, and the power.