# Calculate Pump System Load And Plot Performance Curves

Question

A pump is drawing water from a reservoir1.8m below its centerline suction. It is pumping water to an irrigation canal which is 1.4m above the pump centerline. The following performance characteristics (flow rate Q, head H and efficiency η) were obtained when the pump was running at a constant speed of 1600rpm.

 Q(l/s) 0 7.5 15.1 22.7 30.2 37.8 45.4 53.3 H (m) 13.2 13.6 12.8 11.8 10.9 9.1 7.8 6.1 η (%) 0 35 55 78 85 83 72 64

If the total head losses in the pipeline system due to friction and pipe fittings are Σhtotal = 5206Q2 where Σhtotal is in meters and Q is in m3/s:

(i) determine the system load characteristics, Hsys at different flow rates.

(ii) plot H, Hsys and η performance curves as a function of Q on a linear graph.

(iii) obtain the pump head, flow rate and efficiency at the duty point from your graph and calculate the input power.

Assumptions: Take g = 9.81 m/s2 and the density and kinematic energy of water as 1000 kg/m3 and 1 × 10-6 m2/s

Summary

The question belongs to Chemistry and it discusses about calculating the system load characteristics, plot the performance curves and obtain pump head, flow rate and efficiency at duty point for the pump.

Total Word Count 160

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