Problem 3.23
[Difficulty: 2]
Given:
Data on manometer
Find:
Deflection due to pressure difference
Solution:
Basic equation
dp
dy
ρ
−
g
⋅
=
or, for constant
ρ
Δ
p
ρ
g
⋅
Δ
h
⋅
=
where h is measured downwards
Starting at p
1
p
A
p
1
SG
A
ρ
⋅
g
⋅
h
l
+
(
)
⋅
+
=
where l is the (unknown) distance from the level of the right
interface
Next, from A to B
p
B
p
A
SG
B
ρ
⋅
g
⋅
h
⋅
−
=
Finally, from A to the location of p
2
p
2
p
B
SG
A
ρ
⋅
g
⋅
l
⋅
−
=
Combining the three equations
p
2
p
A
SG
B
ρ
⋅
g
⋅
h
⋅
−
(
)
SG
A
ρ
⋅
g
⋅
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 Fall '07
 Lear
 Fluid Mechanics

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