Air flows past an object in a pipe of 2-m diameter and exits as a free jet as shown in Figure Q4. The velocity and pressure at upstream are uniform at 10 m/s and 50 N/m², respectively. At the pipe exit the velocity is non-uniform as indicated in the figure. The shear stress along the pipe wall is negligible. Determine: (a) the head loss associated with a particle as it flows from the uniform velocity upstream of the object to a location in the wake at the exit plane of the pipe; (b) the force that the air puts on the object. Air -4 m/s 2-m-dia. Wake 1-m dia. 12 m/s Exit p = 50 N/m2 V = 10 m/s Figure Q4
Air flows past an object in a pipe of 2-m diameter and exits as a free jet as shown in Figure Q4. The velocity and pressure at upstream are uniform at 10 m/s and 50 N/m², respectively. At the pipe exit the velocity is non-uniform as indicated in the figure. The shear stress along the pipe wall is negligible. Determine: (a) the head loss associated with a particle as it flows from the uniform velocity upstream of the object to a location in the wake at the exit plane of the pipe; (b) the force that the air puts on the object. Air -4 m/s 2-m-dia. Wake 1-m dia. 12 m/s Exit p = 50 N/m2 V = 10 m/s Figure Q4
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:Air flows past an object in a pipe of 2-m diameter and exits as a free jet as shown in
Figure Q4. The velocity and pressure at upstream are uniform at 10 m/s and 50 N/m,
respectively. At the pipe exit the velocity is non-uniform as indicated in the figure. The
shear stress along the pipe wall is negligible. Determine:
(a) the head loss associated with a particle as it flows from the uniform velocity
upstream of the object to a location in the wake at the exit plane of the pipe;
(b) the force that the air puts on the object.
Air
4 m/s
2-m-dia.
Wake 1-m dia.
12 m/s
Exit
p = 50 N/m?
V = 10 m/s
Figure Q4
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