Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6, Problem 55P
Water is flowing through a 15-cm-diameter pipe that consists of a 3-rn- long vertical and 2-m-long horizontal section with a 90
elbow at the exit to force the water to be discharged downward, as shown in Fig. P6-55, in the vertical direction. Water discharges to atmospheric air at a velocity of 5 m/s, and the mass of the pipe section when filled with water is 17 kg per meter length. Determine the moment acting at the intersection of the vertical and horizontal sections of the pipe (point A). What would your answer be if the flow were discharged upward instead of downward?
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6-58 Water is flowing into and discharging from a pipe U-
section as shown in Fig. P6-58. At flange (1), the total
absolute pressure is 200 kPa, and 30 kg/s flows into the pipe.
At flange (2), the total pressure is 150 kPa. At location (3), 8
kg/s of water discharges to the atmosphere, which is at 100
kPa. Determine the total x- and z-forces at the two flanges
connecting the pipe. Discuss the significance of gravity force
for this problem. Take the momentum-flux correction factor
to be 1.03.
8 kg/s
-3 cm
22 kg/s +
- f10 cm
30 kg/s 5 cm
3. Water is flowing through a 15 cm diameter pipe that consists of a 3 m long
vertical and 2 m long horizontal section with a 90° elbow at the exit to force
the water to be discharged downward, as shown in the figure below, in the
vertical direction. Water discharges to atmospheric air at a velocity of 7 m/s,
and the mass of the pipe section when filled with water is 15 kgm per meter
length. Determine the moment acting at the intersection of the vertical and
horizontal sections of the pipe (point A). What would your answer be if the
flow were discharged upward instead of downward?
2 m
A
7 m/s
15 cm
3 m
6-23 A reducing elbow in a horizontal pipe is used to deflect
water flow by an angle 0 = 45° from the flow direction while
accelerating it. The elbow discharges water into the atmo-
sphere. The cross-sectional area of the elbow is 150 cm² at the
inlet and 25 cm² at the exit. The elevation difference between
the centers of the exit and the inlet is 40 cm. The mass of the
elbow and the water in it is 50 kg. Determine the anchoring
force needed to hold the elbow in place. Take the momentum-
flux correction factor to be 1.03 at both the inlet and outlet.
150 cm²
Water
30.0 kg/s
FIGURE P6-23
25 cm²
15-
40 cm
Chapter 6 Solutions
Fluid Mechanics: Fundamentals and Applications
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