a. Water is to be supplied to the Pelton wheel of a hydroelectric power plant by a pipe of uniform diameter, 400 m long, from a reservoir whose surface is 200 m vertically above the nozzles. The required volume flow of water to the Pelton wheel is 30 m3 /s. If the pipe skin friction loss is not to exceed 10% of the available head and f 5 0.03, determine the minimum pipe diameter.
b. You are required to select a suitable pipe diameter from the available range of stock sizes to satisfy the criteria given. The ranges of diameters (m) available are 1.6, 1.8, 2.0, 2.2, 2.4, 2.6, and 2.8. For the diameter you have selected, determine a. the friction head loss in the pipe;
b. the nozzle exit velocity assuming no friction losses occur in the nozzle and the water leaves the nozzle at atmospheric pressure;
c. the total power developed by the turbine assuming that its efficiency is 75% based upon the energy available at turbine inlet.