The performance data of a glycerin pump follow the curve fit of Havailable = H0 − aV̇2, where the pump’s shutoff head H0 = 7.46 m, and a = 0.0453 m/(Lpm)2. The units of pump heads, H, are meters, and the units of volume flow rate, V̇ are litres per minute (Lpm). The pump is used to pump glycerin at 20C from one large reservoir to another larger reservoir at 4 m elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure. The system curve simplifies to Hrequired = c + bV̇2with coefficient b =0.0261 m(Lpm)2.The total loss of the system, hL,total = 2 m. Based on this information:

(a) Sketch a schematic diagram for the system with proper labeling.

(b) List TWO (2) assumptions for the system to produce the system curve as mentioned above.

(c) Plot the following curves on the SAME FIGURE using Microsoft Excel. Discretise the flowrate

to be at least 10 points for each curve.

(i) Performance data curve of the glycerin pump.

(ii) System curve.

(d) Based on Question (c), show the operating point and determine the corresponding values of head and flow rate.

(e) If the pump shaft used in this system is rotating at 4000 rpm, propose which kind of dynamic pump would be most suitable for this application. Use the operating point obtained from Question (d).

(f) Predict the maximum efficiency of the selected pump in Question (e).