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Problem 3.33
[Difficulty: 3]
Given:
Data on inclined manometer
Find:
Angle
θ
for given data; find sensitivity
Solution:
Basic equation
dp
dy
ρ
−
g
⋅
=
or, for constant
ρ
Δ
p
ρ
g
⋅
Δ
h
⋅
=
where
Δ
h is height difference
Under applied pressure
Δ
pS
G
Mer
ρ
⋅
g
⋅
L sin
θ
()
⋅
x
+
⋅
=
(1)
From Table A.1
SG
Mer
0.827
=
and
Δ
p = 1 in. of water, or
Δ
p
ρ
g
⋅
h
⋅
=
where
h2
5
m
m
⋅
=
h
0.025m
=
Δ
p
1000
kg
m
3
⋅
9.81
×
m
s
2
⋅
0.025
×
m
⋅
Ns
2
⋅
kg m
⋅
×
=
Δ
p
245Pa
=
The volume of liquid must remain constant, so
xA
res
⋅
LA
tube
⋅
=
xL
A
tube
A
res
⋅
=
L
d
D
⎛
⎝
⎞
⎠
2
⋅
=
(2)
Combining Eqs 1 and 2
Δ
G
Mer
ρ
⋅
g
⋅
L sin
θ
⋅
L
d
D
⎛
⎝
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.
 Fall '07
 Lear
 Fluid Mechanics

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