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Problem 4.146
[Difficulty: 3]
Given:
Vaned cart with negligible resistance
Find:
Initial jet speed; jet and cart speeds at 2.5 s and 5 s; what happens to V  U?
Solution:
Apply x momentum
Assumptions:
1) All changes wrt CV
2) Incompressible flow 3) Atmospheric pressure in jet 4) Uniform flow 5) Constant jet area
Given data
ρ
999
kg
m
3
⋅
=
M5
k
g
⋅
=
A5
0
m
m
2
⋅
=
a
2.5
m
s
2
⋅
=
θ
120 deg
⋅
=
Then
a
−
M
⋅
u
1
ρ
−
VU
−
()
⋅
A
⋅
[]
⋅
u
1
ρ
−
⋅
A
⋅
⋅
+
=
where
u
1
−
=
and
u
2
−
(
) cos
θ
⋅
=
Hence
aM
⋅
ρ
−
2
⋅
1
cos
θ
−
⋅
A
⋅
=
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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

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