2. The pump performance curve (i.e. the available pump head hpmmp ), and the efficiency (pump) are given by the following equations: hpump=3549V3+88.754V247.894V+26.827(hhpumpinmeter)pump=404991V4+85988V310094V2+1397.4V+0.4254(pumpin%) Where, V is the volumetric flow rate of the oil (in m3/s ). (a) Provide a plot(s) to show the pump performance and find the optimum operating flow rate. Note: you can use excel (or any similar software) to plot the graph. If you plot the graph manually, then you must make highresolution scans of your graph. Hint: use the range of Q between 0m3/s and 0.16m3/s. [10 mark] (b) Use the pump performance graph to obtain the efficiency pump (\%) of the pump at the operating flow rate obtained in part (a). [4 mark] (c) Provide a brief discussion to analyse the pump efficiency pump (\%) obtained from part (b). Does this pump, at the operating flow rate Q, provide a satisfactory performance? Justify your answer. [4 mark] 3. If the required Net Positive Suction Head (NPSHreq) supplied by the manufacturer of the centrifugal pump is 3.9m, what would be the maximum height between the pump and the liquid surface of tank 1 without cavitation, at the operating point of the pump (obtained in part 2(a))? [Assume that the major head loss in the tube between tank 1 and the pump is negligible (hf=0), and only the minor head loss must be considered]. [8 mark] 4. You have a choice to place the valve either upstream (before) or downstream (after) the pump. Briefly discuss your selected option and what would be the suitable valve type with a clear justification (Max. 250 words). [5 mark]