The nozzle shown in Figure 3.35 is designed such that the average velocity, any cross section is given by V 10 m/s where a is the distance in meters from the nozzle entrance to any cross sectic the nozzle, measured in the streamwise direction. The velocity is approxim: uniform across any section of the nozzle; the entrance and exit velocities are 10 and 20 m/s, respectively; and the length of the nozzle is 0.5 m. (a) What is acceleration of a fluid particle at the midsection of the nozzle, where æ = 0.25 (b) How long does a fluid particle take to pass through the nozzle?

Structural Analysis
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Chapter2: Loads On Structures
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The nozzle shown in Figure 3.35 is designed such that the average velocity, V, at
any cross section is given by
10
V =
m/s
1-x
where a is the distance in meters from the nozzle entrance to any cross section of
the nozzle, measured in the streamwise direction. The velocity is approximately
uniform across any section of the nozzle; the entrance and exit velocities are 10 m/s
and 20 m/s, respectively; and the length of the nozzle is 0.5 m. (a) What is the
acceleration of a fluid particle at the midsection of the nozzle, where x = 0.25 m?
(b) How long does a fluid particle take to pass through the nozzle?
X = 0
Nozzle
10 m/s
20 m/s
+0.5 m-
Figure 3.35: Flow through a nozzle
Transcribed Image Text:The nozzle shown in Figure 3.35 is designed such that the average velocity, V, at any cross section is given by 10 V = m/s 1-x where a is the distance in meters from the nozzle entrance to any cross section of the nozzle, measured in the streamwise direction. The velocity is approximately uniform across any section of the nozzle; the entrance and exit velocities are 10 m/s and 20 m/s, respectively; and the length of the nozzle is 0.5 m. (a) What is the acceleration of a fluid particle at the midsection of the nozzle, where x = 0.25 m? (b) How long does a fluid particle take to pass through the nozzle? X = 0 Nozzle 10 m/s 20 m/s +0.5 m- Figure 3.35: Flow through a nozzle
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