= The large turbine diverts the river flow under a dam as arranged below. System friction losses are hf = kfv/(2g), where u is the average velocity in the supply pipe and kf = 3.5. The turbine efficiency is 0.85. (a) Find an algebraic expression of the turbine output power P as a function of v, and (b) plot P versus v. (c) Find the maximum possible turbine power that can be extracted from the fluid system. Find also the flow rate at which the output power is maximum. (d) Explain, why the turbine output power does not increase monotonically as v increases, but instead reaches a local maximum and then decreases as v increases. Z = 70 m V DA D = 5 m Turbine 210 m 0 m