Q3. [15 marks] The flow system shown in Figure 2 is used to test the performance of a centrifugal pump. The system draws water from a large tank into the pump, through a magneto-inductive flow meter and then back to the tank. The inlet pressure and flow rate are varied by a gate valve and a throttling valve. The pipe is (in total) 3m long and has an internal diameter of 25mm and roughness height of 0.0015mm. The pipe entrance is rounded. With both valves fully open the maximum flow rate is achieved and energy is delivered to the water by the pump at a rate of 200 Watts. The relevant loss coefficients of the system components are given below. Making suitable assumptions, calculate the velocity of the water in the pipe. [15 marks] Data: Water has properties p= 1000 kg/m3 and u = 1.00 x 10- N.s/m. Pipe; total length = 3m, internal diameter = 25mm, roughness height = 0.0015mm Loss Coefficients O 3 x bends, with each having K = 1.5 O 1 x Flow meter K = 0.1 (based on pipe diameter) O 1 x fully-open Gate valve, K = 0.2 o 1 x fully-open Throttling valve, K = 0.1 O 1 x rounded pipe entry from water tank, K = 0.1 The Moody Chart and laminar friction constant equations are given at the end of this question paper. M Motor P Pump S Gate valve MID Flow measurement (magnetic-inductive) Measuring point V Throttling valve Pipe V MID M Water Tank