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Problem 3.26
[Difficulty: 2]
Given:
Water flow in an inclined pipe as shown.
The pressure difference is
measured with a twofluid manometer
L5
f
t
⋅
=
h6
i
n
⋅
=
SG
Hg
13.55
=
(From Table A.1, App. A)
Find:
Pressure difference between A and B
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
(3) Gravity is constant
Integrating the hydrostatic pressure equation we get:
Δ
p
ρ
g
⋅
Δ
h
⋅
=
Progressing through the manometer from A to B:
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 Fall '07
 Lear
 Fluid Mechanics

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