Tutorial11 .pdf



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ENG243 - TUTORIAL EXERCISES - Set 11
The tutorials for this unit will come from two sources. There are problems taken directly
from the text book. The reference MYO 03.53 would mean problem 3.53 from chapter 3
of the set textbook. The information given in the textbook is reprinted in the tutorials for
your convenience. Other problems will give full details.
Some problems are given in BG units. I recommend you convert all numbers into
SI units, and then solve the problem in SI units. You can then convert the answer back
to BG units if necessary.
1.
(MYO 12.13) Water is pumped with a centrifugal pump. When the flow rate is
3
0.01514 m /s the total power consumption is 4.48 kW. Determine the pump head if the
efficiency is 62%.

2.
(MYO 12.19) Water at 40 °C is pumped from an open tank through 200 m of 50mm-diameter smooth horizontal pipe as shown in the figure (Fig. P12.19) and
discharges into the atmosphere with a velocity of 3.0 m/s. Minor losses are negligible.
(a) If the efficiency of the pump is 70%, how much power is being supplied to the
pump?
(b) What is the NPSHA at the pump inlet? Neglect losses in the short section of the pipe
connecting the pump to the tank. Assume standard atmospheric pressure.

3.

(MYO 12.26)

In a chemical processing plant a liquid
is pumped from an open tank though
a 0.10 diameter vertical pipe into
another open tank. A valve is located
in the pipe and the minor loss
coefficient for the valve is shown in
the graph. .
The pump head-capacity relationship is
given by the equation

hP = 52 − 1010 × Q 2
whre hP is in m and Q is in m3/s. The
friction factor for the pipe is 0.020 and
all minor losses apart from those in the
valve can be neglected. The fluid
levels of the two tanks are maintained
at a relatively constant level while the
pumps are operational.
(a)
Determine the flow-rate with the
valve wide open.
(b)
What valve setting would be
needed to reduce the flow rate by
50%?

4.
(MYO 12.23) A
centrifugal pump
having a 6-in.-diameter
impeller and the
characteristics shown
in the figure is to be
used to pump gasoline
through 4 000 ft of
commercial steel 3-in.diameter pipe.
The pipe connects two
reservoirs having open
surfaces at the same
elevation. Note, 1 USA
gallon = 0.1337 ft3.
(a) Determine the
flowrate.
(b) Do you think this pump is a good choice? Explain.
(c) Near which of the two reservoirs should the pump be located?
5.(MYO 12.36) A certain pump is known to have a capacity of 3.0 m3/s when operating
at a speed of 60 rad/s against a head of 20 m. Based on the information in the figure
(Fig. 12.18), would you recommend a radial flow, mixed-flow, or axial-flow pump?

ANSWERS
1.

18.7 m

2.

(a) 2.07 kW

3.

(a) 0.0529 m3/s

4.

ε/D = 5.8 ×10-4 ,

(b) 12.6 m
(b) 13% open

(a) I suggest you choose flow rates of 120 gal/min, 160 gal/min and 200 gal/min and
just plot the head-loss them on the graph.
(b)

Yes

(c) It should be near the outlet of the sending tank

5.

NS = 1.98

Mixed-flow pump


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