QUESTION 1 (15 Marks)
a) A pump whose characteristics are shown below is used to pump a fluid from an open tank
through 45m of 65mm diameter pipe to another open tank in which the surface level of the
fluid is 5.0m above that of the tank. Taking g as 9.81ms$^2$ and pipe friction factor of 0.0005,
find the following:
i. Plot the pump curve [3 Marks]
ii. The head loss associated with the pipeline losses in terms of u [2 Marks]
iii. The total system head in terms of u, considering static, pipeline and exit loss [2 Marks]
iv. The resulting flow rate when this pump is place in the system above [2 Marks]
v. The power of the pump if the fluid density is 850kg/m$^3$ [2 Marks]
Head, H
(m)
9.3 7.4 8.2 6.5 5.2 3.7
Flow Rate,
Q (l/s)
4.5 5.3 7.2 8.4 10.1 12.2
b) If a second identical pump is installed in series, what would be the desired flow rate?
[2 Marks]
c) If instead a second identical pump is installed in parallel, what would be the desired flow
[2 Marks]
rate?