respectively. At the pipe exit the velocity is non-uniform as indicated. The shear stress along the pipe wall is negligible. (a) Determine the head loss associated with a fluid streamline as it flows over a solid body from the upstream region of uniform velocity to the wake region at the exit plane of the pipe. (b) Determine the force that the air puts on the object.

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Air (1.23 kg/m3) flows past an object in a 2-m-diameter pipe and exits as a free jet as shown in the figure below. The velocity and pressure upstream are uniform at 10 m/s and 50 N/m?,
respectively. At the pipe exit the velocity is non-uniform as indicated. The shear stress along the pipe wall is negligible. (a) Determine the head loss associated with a fluid streamline as it flows
over a solid body from the upstream region of uniform velocity to the wake region at the exit plane of the pipe. (b) Determine the force that the air puts on the object.
Air
*************T
4 m/s
2-m-dia.
Wake 1-m dia EF
12.0m/s
Exit-
p = 50 N/m? v= 10 m/s
Transcribed Image Text:Air (1.23 kg/m3) flows past an object in a 2-m-diameter pipe and exits as a free jet as shown in the figure below. The velocity and pressure upstream are uniform at 10 m/s and 50 N/m?, respectively. At the pipe exit the velocity is non-uniform as indicated. The shear stress along the pipe wall is negligible. (a) Determine the head loss associated with a fluid streamline as it flows over a solid body from the upstream region of uniform velocity to the wake region at the exit plane of the pipe. (b) Determine the force that the air puts on the object. Air *************T 4 m/s 2-m-dia. Wake 1-m dia EF 12.0m/s Exit- p = 50 N/m? v= 10 m/s
Head loss is associated with changes in static pressure head, dynamic pressure head, elevation and mechanical head in a flow.
(a) Does the total head increase or decrease as it flows over the body?
(b) What is the decrease in pressure head from a location upstream of the object to a location at the exit plane in the wake of the object? AP =
(c) What is the dynamic pressure head upstream of the object? Pa =
(d) What is the dynamic pressure head of the fluid streamline in the wake region downstream of the object? Pw =
(e) What is the decrease in dynamic pressure head from a location upstream of the object to a location at the exit plane in the wake of the object? APavn =
(f) What is the change
elevation from a location upstream of the object to a location at the exit plane
the wake
the object? Az =
(g) What is the change in mechanical head, due to drag from.
location upstream of the object to a location at the exit plane in the wake of the object? Ahm =
(h) What is the magnitude of the head loss associated with the object? h =
Transcribed Image Text:Head loss is associated with changes in static pressure head, dynamic pressure head, elevation and mechanical head in a flow. (a) Does the total head increase or decrease as it flows over the body? (b) What is the decrease in pressure head from a location upstream of the object to a location at the exit plane in the wake of the object? AP = (c) What is the dynamic pressure head upstream of the object? Pa = (d) What is the dynamic pressure head of the fluid streamline in the wake region downstream of the object? Pw = (e) What is the decrease in dynamic pressure head from a location upstream of the object to a location at the exit plane in the wake of the object? APavn = (f) What is the change elevation from a location upstream of the object to a location at the exit plane the wake the object? Az = (g) What is the change in mechanical head, due to drag from. location upstream of the object to a location at the exit plane in the wake of the object? Ahm = (h) What is the magnitude of the head loss associated with the object? h =
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