Tutorial7 .pdf


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ENG243 - TUTORIAL EXERCISES - Set 7
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 05.85) A 200-m-high waterfall involves steady flow from one large body to
another. Determine the temperature rise associated with this flow.

2.
(MYO 05.107) the pumper truck
shown in the figure (Fig. P5.107) is to
deliver 1.5 ft3/s to a maximum elevation of
60 ft above the hydrant. The pressure at the
4-in diameter outlet of the hydrant is 10 psi.
If head losses are negligibly small,
determine the power that the pump must
add to the water.

3.
(MYO 05.95) Water flows through a
vertical pipe, as is indicated in the figure (Fig.
P5.95):
(a) Is the flowrate at A the same as the flowrate
at B?
(b) What is the pressure difference between A
and B?
(c) Given that the water is flowing up the pipe,
give an expression for the head loss.

4.
(MYO 05.88) If a 3/4-hp motor
is required by a ventilating tan to
produce a 24-in. stream of air having a
velocity of 40 ft/s as shown in the
figure (Fig P5.88), estimate
(a) the efficiency of the fan
(b) the thrust of the supporting
member on the conduit enclosing the
fan.

5.
(MYO 05.115) Water is pumped from the large tank shown in the figure. The
head loss is known to be equal to 1.2V2/2g and the pump head is hp = 20 –2000Q2,
where hp is in m when Q is in m3/s. Determine the flowrate. What is the shaft head, hp?
What is the specific energy of the pump, wIN? What is the power rating of the pump,
W& ?

6.
(MYO 05.120) A liquid enters
a fluid machine at section (1) and
leaves at section (2) and (3) as
shown in the figure (Fig. P5.120).
The density of the fluid is constant at
2 slugs/ft3. All of the flow occurs in a
horizontal plane and is frictionless
and adiabatic. Determine the amount
of shaft power involved.

7.
(MYO 05.108) What is the
maximum possible power outlet of
the hydro-electric turbine shown?

ANSWERS
1.

0.47 °C

2.

4.07 kW

3.

(a) Yes.

4.

56%

5.

0.052 m3/s ; hp = 14.6 m ;

6.

-23.2 kW

7.

2.23 MW . In order to do this problem it is necessary to first show the maximum

;

(b)

PAB = hγ Hg

(c) h L = hSG Hg − H

52.0 N

total power occurs when

v out =

wIN = 143 J/kg ; W& = 7.44 kW

2gH
3


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