fluid_mechanics

Problems 83
8 psi
Carbon tetrachloride
A
B
0.7 ft
Oil
Brine
3 ft
1 ft
Water
h
Brine
12 in.
1 ft
Carbon
tetrachloride
F I G U R E P2.41
θ
reservoir on the left, which contains carbon tetrachloride, is closed
and pressurized to 8 psi. The reservoir on the right contains water
and is open to the atmosphere. With the given data, determine the
depth of water, h, in the right reservoir.
2.42 Determine the pressure of the water in pipe A shown in Fig.
P2.42 if the gage pressure of the air in the tank is 2 psi.
Air
p = 2 psi
1 ft
4 ft
2 ft
Water
F I G U R E P2.42
SG = 0.9
2.43 In Fig. P2.43 pipe A contains gasoline 1SG 0.72, pipe B
contains oil 1SG 0.92, and the manometer fluid is mercury.
Determine the new differential reading if the pressure in pipe A is
decreased 25 kPa, and the pressure in pipe B remains constant. The
initial differential reading is 0.30 m as shown.
A
F I G U R E P2.44
2.45 Determine the new differential reading along the inclined leg
of the mercury manometer of Fig. P2.45, if the pressure in pipe A
is decreased 10 kPa and the pressure in pipe B remains unchanged.
The fluid in A has a specific gravity of 0.9 and the fluid in B is
water.
A
SG = 0.9
30°
100 mm
50 mm
F I G U R E P2.45
Water
Mercury
2.46 Determine the change in the elevation of the mercury in the
left leg of the manometer of Fig. P2.46 as a result of an increase
in pressure of 5 psi in pipe A while the pressure in pipe B remains
constant.
A
Water
18 in.
6 in.
Oil (SG = 0.9)
B
B
80 mm
12 in.
A
0.4 m
Oil
B
30°
1_
in.
2
diameter Mercury
F I G U R E P2.46
1_
in. diameter
4
Gasoline
0.3 m
Mercury
2.47 The U-shaped tube shown in Fig. P2.47 initially contains
water only. A second liquid with specific weight, g, less than water
is placed on top of the water with no mixing occurring. Can the
F I G U R E P2.43
2.44 The inclined differential manometer of Fig. P2.44 contains
carbon tetrachloride. Initially the pressure differential between
pipes A and B, which contain a brine 1SG 1.12, is zero as
illustrated in the figure. It is desired that the manometer give a
differential reading of 12 in. (measured along the inclined tube)
for a pressure differential of 0.1 psi. Determine the required angle
of inclination, u.
γ
h
D 1 = 1.5 D 2
D 2
Water
F I G U R E P2.47