Problem 3.21
[Difficulty: 2]
Given:
Utube manometer, partiall filled with water, then a given volume of
Meriam red oil is added to the left side
D
6.35 mm
⋅
=
V
oil
3.25 cm
3
⋅
=
SG
oil
0.827
=
(From Table A.1, App. A)
Find:
Equilibrium height, H, when both legs are open to atmosphere.
Solution:
We will apply the basic pressureheight relation.
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
L
L – H
A
B
C
D
Integration of the pressure equation gives:
p
2
p
1
−
ρ
g
⋅
h
2
h
1
−
()
⋅
=
Thus:
p
B
p
A
−
ρ
oil
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 Fall '07
 Lear
 Fluid Mechanics

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