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Tutorial 3 - DMCF 2223 (Manometer)

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UNIVERSITI TEKNIKAL MALAYSIA MELAKA

FAKULTI KEJURUTERAAN MEKANIKAL

MEKANIK BENDALIR 1

TUTORIAL 3
PRESSURE MEASUREMENT BY MANOMETER

1. The water in a tank is pressurized by air,


and the pressure is measured by a multi-fluid
manometer as shown in the Figure 1. Determine
the gage pressure of air in the tank if h1 = 0.2
m, h2 = 0.3 m, and h3 = 0.46 m. Take the
densities of water, oil, and mercury to be 1000
kg/m3, 850 kg/m3, and 13,600 kg/m3,
respectively.
[Ans: 56.9 kPa]

Figure 1

2. Both a gage and a manometer are attached


to a gas tank to measure its pressure (Figure 2). If
the reading on the pressure gage is 80 kPa,
determine the distance between the two fluid
levels of the manometer if the fluid is
(a) mercury ( = 13,600 kg/m3)
(b) water ( = 1000 kg/m3)
[Ans: 0.60 m, 8.16 m]
Figure 2

Fluid density
D
3. Using a u-tube manometer (Figure 3) to
measure gauge pressure of fluid density
h2
r = 700 kg/m3, and the manometric fluid is A
mercury, with a relative density of 13.6. What h1
is the gauge pressure if: B C
(a) h1 = 0.4m and h2 = 0.9m? [Ans: 1.17 bar]
(b) h1 stayed the same but h2 = -0.1m?
[ Ans : -0.16 bar]
Manometric fluid density man

Figure 3
Fluid density 
4. In the Figure 4 two pipes containing the
same fluid of density  = 990 kg/m3 are Fluid density 
A
connected using a u-tube manometer. What is
the pressure between the two pipes if the B
manometer contains fluid of relative density ha = 1.5 m
13.6? [ Ans: 54 568 N/m2 ] hb = 0.75 m
h = 0.5 m

C D

Manometric fluid density man = 13.6


Figure 4

5. Fresh water and seawater flowing


in parallel horizontal pipelines are
connected to each other by a double U-
tube manometer, as shown in the Figure
5. Determine the pressure difference
between the two pipelines. Take the
density of seawater at that location to
be  = 1035 kg/m3. Can the air
column be ignored in the analysis?
Explain.
[Ans: 3.39 kPa]
Figure 5

6. The gage pressure of the air in the tank


shown in the Figure 6 is measured to be 65
kPa. Determine the differential height h of the
mercury column. [Ans: 47 cm]. If the water in
thank is replaced with gas A having the same
pressure, 65kPa, what would be the new h,
and how much the new h would differ to the
old h?
Figure 6
7. A closed cylindrical tank filled with water Hemispherical donme
has a hemispherical dome and is connected to
an inverted piping system as shown in Figure SG = 0.8
7. The liquid in the top part of the piping pA = C
4m
system has a specific gravity of 0.8, and the 60 kPa 3m
remaining parts of the system are filled with A
water. If the pressure gage reading at A is 60
kPa, determine: 3m
(a) the pressure in pipe B
(b) the pressure head, in millimetres of 2m
mercury, at the top of the dome (point C) B
[Ans: 103 kPa, 230 mm] Water
Figure 7

Manometer fluid

1m
8. For the stationary fluid shown in Figure 8, the
2m pressure at point B is 20 kPa greater than at point
A. Determine the specific weight of the manometer
A fluid. [Ans: 7, 100 N/m3]
2m
SG = 1.2
B
Density = 1500 kg/m3

Figure 8

9. The mercury manometer of Figure 9 indicates


a differential reading of 0.30 m when the
pressure in pipe A is 30-mm Hg vacuum.
Determine the pressure in pipe B, when the
specific weight of oil is 8.95 kN/m3.
[Ans: 33.97 kPa]

Figure 9
10. The tube in Figure 10 is filled with
oil of specific gravity 0.85. Atmosphere
(a) Determine the pressure at A. Air A.
(b) Express the pressure at A in meter of 0.5 m
water. .
[Ans: - 4169.25 Pa , - 0.425 m]

Oil of S.G. = 0.85


Figure 10

11. An air-filled, hemispherical shell is


attached to the ocean floor at a depth of 10
m as shown in Figure 11. A mercury
barometer located inside the shell reads 765
mm Hg, and a mercury U-tube manometer
designed to give the outside water pressure
indicates a differential reading of 735 mm Hg
as illustrated. Based on these data what is the
atmospheric pressure at the ocean surface?
Given the specific weight of sea water is 10.1
kN/m3.
Figure 11 [Ans: 95.49 kPa]

12. A 0.02-m-diameter manometer tube is


connected to a 6-m-diameter full tank as
shown in Figure 12. Determine the density of
the unknown liquid in the tank.
[Ans: 1927 kg/m3]

Figure 12

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