Tutorial4 .pdf


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ENG243 - TUTORIAL EXERCISES - Set 4
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 03.04) What pressure gradient along the streamline, dp/ds, is required to
accelerate water in a horizontal pipe at a rate of 30 m/s2?

2.
(MYO 03.10) Water flows
around the horizontal two-dimensional
bend with circular streamlines and
constant velocity as shown in the figure
below (Fig. P3.10). If the pressure is
40 kPa at point (1), determine the
pressures at points (2). Assume that
the velocity profile between (1) and (3)
is uniform as indicated.

3.
(MYO 3.18) A fire hose nozzle has a diameter of 3.0 cm. According to some fire
codes, the nozzle must be capable of delivering at least 16 litre/s. If the nozzle is
attached to an 8.0 cm diameter hose, what pressure must be maintained upstream of
the nozzle to deliver this flowrate?

4.
(MYO 03.25) Water flows steadily downward
through the pipe shown in the figure (Fig. P3.25).
Viscous effects are negligible, and the pressure gauge
indicates the pressure is zero at point (1). Determine the
fluid velocity, flowrate and the pressure at point (2).

5.

(MYO 03.50) Water is pumped from a lake

through an 0.2 m pipe at a rate of 300 L/s. If viscous effects are negligible, what is the
pressure in the suction pipe (the pipe between the lake and the pump) at an elevation 2
m above the lake?

6.
(MYO 03.30) Water flows through the
pipe contraction shown below (Fig. P3.30).
For the given 0.20 m difference in
manometer level, determine the flowrate as
a function of the diameter of the small pipe,
D.

7.
(MYO 03.14) Water flows from the
faucet of the first floor of the building shown
below (Fig. P3.14) with a maximum velocity
of 20 ft/s. For steady inviscid flow, determine
the maximum water velocity from the
basement faucet and from the faucet on the
second floor (assume each floor is 12ft tall).

8.
(MYO 03.46) Water is siphoned from the tank shown in the figure (Fig. P3.46).
Determine (a) The flowrate of the water out of the tank (b) Find the pressure at B (c)
assuming that the pressures at A and B are the same and work out the diameter, d, at
the point of constriction A.

ANSWERS
1.

-30.0kPa/m

2.

21.8 kPa

3.

250 kPa (gauge)

4.

-3
3
4.085 m/s ; 4.29×10 m /s ; -5.97 kPa

5.

-65.2 kPa (gauge)

6.

1.56 D2

7.

10.4 m/s ; none

8.

(a) 9.78 m/s

(b) -75.6 kPa (gauge)

(c) d = 0.063 m


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