A pump is used to move water from a reservoir to a storage tank up-hill with the vertical distance of 30 m. The storage tank is a cylindrical concrete structure of 10 m diameter that can hold 1500 m3 of water. The pipe length of 150 m made of corroded steel and 0.2 m diameter was used. Corroded steel has a fanning friction coefficient f = 0.0075. Connectors in the system lead to a total minor loss coefficient K = 2.0.

(a) A pump is used to move water from a reservoir to a storage tank up-hill with the vertical distance of 30m. The storage tank is a cylindrical concrete structure of 10m diameter that can hold 1500m3 of water. The pipe length of 150m made of corroded steel and 0.2m diameter was used. Corroded steel has a fanning friction coefficient f=0.0075. Connectors in the system lead to a total minor loss coefficient K=2.0. i. Write down an expression for the total head loss in the pipe system as a function of volumetric flow rate Q. (8 marks) ii. If the pump needs to flow at Q=0.3m3/s, what is the power required (in kW ) if the pump has an efficiency of 74% ? (4 Marks) (b) Due to its age, the pipe breaks at a distance L=3m from the full storage tank, and begins to drain out, as in Figure Q2. Figure Q2 i. Write Bernoulli's equation between A and B, and between B and C. Take the only minor loss coefficient for the tank exit/pipe entry to be K=0.3. ii. How fast does the tank drain? (6 marks) (7 marks)