Problem 3.25
[Difficulty: 2]
Given:
Two fluid manometer, Meriam red oil is the second fluid
SG
oil
0.827
=
from Table A.1
Find:
The amplification factor which will be seen in this demonstrator
Solution:
We will apply the hydrostatics equations to this system.
Governing Equations:
dp
dh
ρ
g
⋅
=
(Hydrostatic Pressure  h is positive downwards)
ρ
SG
ρ
water
⋅
=
(Definition of Specific Gravity)
Assumptions:
(1) Static liquid
(2) Incompressible liquid
a
l
h
A
Δ
h
h
B
b
Integrating the hydrostatic pressure equation we get:
pp
o
ρ
g
⋅
h
⋅
+
=
For the left leg of the manometer:
p
a
p
atm
ρ
water
g
⋅
h
A
⋅
+
=
p
b
p
a
ρ
water
g
⋅
l
⋅
−
=
p
atm
ρ
water
g
⋅
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 Fall '07
 Lear
 Statics, Fluid Dynamics, Fluid Mechanics, g⋅ hB, g⋅ hA, Meriam red oil

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