NCSU
MAE308
17. Water flows steadily through the large tanks shown where h
B
=2 m.
The diameters of the
pipes exiting tanks A and B are 0.03 m and 0.05 m, respectively.
Neglecting frictional
losses, determine the water depth h
A
.
h
h
A
B
A
B
Q
(1)=free surface of tank A, (2)=free jet at exit of pipe from tank A, (3)=free surface of tank
B, (4)=free jet at exit of pipe from tank B
Q
1
= Q
2
= Q
3
= Q
4
BE (3) to (4)
34
f
34
s
4
2
4
4
3
2
3
3
w
w
gz
v
2
1
p
gz
v
2
1
p
+
+
+
+
ρ
=
+
+
ρ
v
4
=[2g(z
3
z
4
)]
1/2
=[2(9.087)(2)]
1/2
=6.26 m/s
0123
.
0
)
05
.
0
(
4
π
)
s
/
m
26
.
6
(
A
v
Q
2
4
4
=
=
=
m3/s
4
.
17
)
03
.
0
(
π
)
0123
.
0
(
4
D
π
Q
4
A
Q
v
2
2
2
2
=
=
=
=
m/s
BE (1) to (2)
12
f
12
s
2
2
2
2
1
2
1
1
w
w
gz
v
2
1
p
gz
v
2
1
p
+
+
+
+
ρ
=
+
+
ρ
2
2
A
v
2
1
gh
=
,
4
.
15
)
4
.
17
(
)
087
.
9
(
2
1
v
g
2
1
h
2
2
2
A
=
=
=
m
18. Water flows from a large tank through a large pipe that splits into two smaller pipes as
shown.
If viscous effects are negligible, determine the flowrate from the tank and the
pressure at point (1).
Determine the net horizontal force that the pipe and tank exert on the
fluid.
1
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MAE308
3 m
7 m
0.05 m diameter
0.02 m diameter
3 m
4 m
0.03 m diameter
(0)=free surface of fluid, (1)=any location inside the horizontal part of the pipe before it
splits (the energy per unit mass is the same at any cross section in this part because there are
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 Fall '08
 DANBY
 Fluid Dynamics, 1 ft, Joint European Torus, 2 1 W, 2 J

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