Consider air flowing through the pipe network shown in the figure below. The flow through Section 1 and Section 2 of the network has a velocity of 1 m/s. The diameters of Section 1, Section 2, and Section 3 of the network are 10 cm, 8 cm, and 6 cm, respectively. The outlet of Section 2 is at atmospheric pressure. All pipes can be considered perfectly smooth, gravitational potential energy changes can be neglected, and minor losses in the tee can be neglected. The flow is turned in Section 1 of the network using a regular 90° threaded elbow. Calculate the gage pressure p₁ at the inlet of Section 1, the gage pressure P3 at the outlet of Section 3, and the velocity u3 at the outlet of Section 3. Note: Each section is separated from the others by the tee joint. 5 m 1 m/s P₁ 1 m/s 2 m Section 2 2 m Section 1 Section 3 4 m P3 U₂

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Consider air flowing through the pipe network shown in the figure below. The flow through Section
1 and Section 2 of the network has a velocity of 1 m/s. The diameters of Section 1, Section 2, and
Section 3 of the network are 10 cm, 8 cm, and 6 cm, respectively. The outlet of Section 2 is at
atmospheric pressure. All pipes can be considered perfectly smooth, gravitational potential energy
changes can be neglected, and minor losses in the tee can be neglected. The flow is turned in
Section 1 of the network using a regular 90° threaded elbow. Calculate the gage pressure p₁ at the
inlet of Section 1, the gage pressure P3 at the outlet of Section 3, and the velocity u3 at the outlet of
Section 3.
Note: Each section is separated from the others by the tee joint.
5m
1 m/s
P₁
1 m/s
2 m
Section 2
2 m
Section 1
Section 3
4 m
P3
U3
Transcribed Image Text:Consider air flowing through the pipe network shown in the figure below. The flow through Section 1 and Section 2 of the network has a velocity of 1 m/s. The diameters of Section 1, Section 2, and Section 3 of the network are 10 cm, 8 cm, and 6 cm, respectively. The outlet of Section 2 is at atmospheric pressure. All pipes can be considered perfectly smooth, gravitational potential energy changes can be neglected, and minor losses in the tee can be neglected. The flow is turned in Section 1 of the network using a regular 90° threaded elbow. Calculate the gage pressure p₁ at the inlet of Section 1, the gage pressure P3 at the outlet of Section 3, and the velocity u3 at the outlet of Section 3. Note: Each section is separated from the others by the tee joint. 5m 1 m/s P₁ 1 m/s 2 m Section 2 2 m Section 1 Section 3 4 m P3 U3
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