(See Fluids in the News article titled “New hi-tech fountains,” Section 8.5.) The founta...

(See Fluids in the News article titled “New hi-tech fountains,” Section 8.5.) The fountain shown in Fig. P8.47 is designed to provide a stream of water that rises h = 10 ft to h = 20 ft above the nozzle exit in a periodic fashion. To do this the water from the pool enters a pump, passes through a pressure regulator that maintains a constant pressure ahead of the flow control valve. The valve is electronically adjusted to provide the desired water height. With h = 10 ft the loss coefficient for the valve is K_L = 50. Determine the valve loss coefficient needed for h = 20 ft. All losses except for the flow control valve are negligible. The area of the pipe is 5 times the area of the exit nozzle.