01: A pipeline joining a lake and a reservoir whose water levels differ by 91.4 m has a diameter of 45.7 cm and a length of 6100 m and the friction factor fis 0.008. The gravity flow is inadequate and it's necessary to install a pump halfway along the pipeline to act as a booster. The pump equation is H = 183 – 760 Q2 + 32.5 Q where H is the head developed by the pump in meter and Q the flow in m'/s.Estimate c) The percentage increase in the flow rate due to the pump. d) The dally operating cost of the pump, if the overall efficiency is 70%, and the cost of power is 0.02 $ per kilowatt- hour (kWh). a2: Tests on a single centrifugal pump running at 600 rev/min gave the results indicated below Calculate: 1- The speed of the pump and input power will be required to deliver 2.72 m' of water per minute continuously against a head (including friction) of 15.2 m. 2- The number of pump connected in series to rise the water to 42 m. 3- The number of pump connected in parallel to deliver a 0.28 m/s. Q (m/min) 0 Head (m) h () 0.45 0.91 1.36 1.59 1.82 2.04 2.28 15.2 16.3 16.3 14.6 81 12.8 10.4 80 7.6 4.6 30 61 85 67 47

Water flows into a conical vessel at a constant rate of Q cm³/s. The vessel has a height of 18 cm and a diameter of 10 cm at the top. When the water is 12 cm deep, the water level is rising at the rate of 0.115 cm/s. Find the value of Q.

2. The 600 mm pipe shown in the figure conducts water from a reservoir A to a pressure turbine, which discharge through another 600 mm pipe into water tank B. The head loss from A to 1 is 5 times the velocity head in the pipe and the head loss from 2 to B is 0.2 times the velocity head in the pipe. If the discharge is 700 L/s, what horse power is being given up by the water to the turbine and what are the pressure heads at 1 and 2 2 HE = 49.20 m HP = 453.50 hp (input) P₁/y = 53.63 m P2/y = -4.43 m A WS El 60 m EL 4.5 m 600 mm 600 mm US 90 kPa EL 0 m