Homework 6
For the experimental pump data given below:
1. For the data given, generate plots of the head (meters) versus flow rate (L/min) and
pump efficiency (%) versus flow rate (L/min). Make sure your plot axes are
labeled.
2. For each plot, generate an appropriate curve fit and report its equation and
coefficient of determination (R2
).
HELPFUL HINTS
1. The pressure of a fluid can be related to its height through the equation,
P gH ? ?
where P is the pressure, ? is the density of the fluid, g is the standard acceleration due
to gravity and H is the height of the fluid.
2. The pump efficiency (?) can be calculated by dividing the water power, PW, [the total
pressure head, Pt (in Pa) multiplied by the volumetric flow rate, Q, (in m3
/s)] by the
pump shaft power, PIN:
W T
PUMP
IN IN
P P Q
P P
?
?
? ?
Q
Flow
Rate
(????
/s)
????
Total
Pressure
(kPa)
PIN
Shaft
power
(kW)
0.0000 504.82 1.190
0.0004 481.50 1.318
0.0008 476.70 1.573
0.0012 471.50 1.828
0.0017 461.00 2.083
0.0021 447.20 2.295
0.0025 426.80 2.465
0.0029 401.40 2.635
0.0033 367.50 2.763
0.0037 326.80 2.890
0.0042 278.61 2.975
