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Problem 4.159
[Difficulty: 4]
CS
moving
at speed U
c
d
D
= 75 mm
M
= 35 kg
Given:
Water jet striking disk
Find:
Plot mass versus flow rate to find flow rate for a steady height of 3 m
Solution:
Basic equations: Bernoulli; Momentum flux in z direction (treated as upwards)
p
ρ
V
2
2
+
gz
⋅
+
constant
=
Assumptions:
1) Steady flow
2) Incompressible flow 3) Atmospheric pressure in jet 4) Uniform flow
(All in jet)
The Bernoulli equation becomes
V
0
2
2
g0
⋅
+
V
1
2
2
gh
⋅
+
=
V
1
V
0
2
2g
⋅
h
⋅
−
=
The momentum equation becomes
M
−
g
⋅
w
1
ρ
−
V
1
⋅
A
1
⋅
()
⋅
w
2
ρ
V
2
⋅
A
2
⋅
⋅
+
=
V
1
ρ
−
V
1
⋅
A
1
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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, Flux

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