Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Fluid Mechanics Problem: 

Assume all fluids are 20oC.

For your MQP project you are asked to study fluid (wind) flow over the tall cylinder shaped
smokestack near Boynton Hall on the WPI campus. Cylinders (or smokestacks) in a fluid flow shed
rotating fluid (vortices) at some shedding frequency f (in rad/sec) which is the dependent variable in
this problem. Other important physical parameters include the fluid density p, the cylinder diameter
d, and the oncoming wind speed V. Use p, V and d as repeating variables.
There is one important physical parameter missing from my physical description. Name it.
Hint: This is an external, viscous, incompressible flow.
Also, ignore the smokestack height H and the taper (change in diameter) of the smokestack as
important parameters for this test.
Use your complete list of physical parameters to complete a dimensional analysis to find two
II groups (non-dimensional parameters) that govern this problem.
Since performing measurements on the WPI smokestack is difficult (and rather dangerous), you
decide to perform experiments on a smaller cylinder in the WPI wind tunnel. The WPI
smokestack has an average diameter of 8 feet, and the wind speed over the WPI smokestack is
10 mph. A 2 inch diameter cylinder is used to properly model the smokestack flow in the tunnel.
c.
What is the required wind tunnel air velocity
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Transcribed Image Text:For your MQP project you are asked to study fluid (wind) flow over the tall cylinder shaped smokestack near Boynton Hall on the WPI campus. Cylinders (or smokestacks) in a fluid flow shed rotating fluid (vortices) at some shedding frequency f (in rad/sec) which is the dependent variable in this problem. Other important physical parameters include the fluid density p, the cylinder diameter d, and the oncoming wind speed V. Use p, V and d as repeating variables. There is one important physical parameter missing from my physical description. Name it. Hint: This is an external, viscous, incompressible flow. Also, ignore the smokestack height H and the taper (change in diameter) of the smokestack as important parameters for this test. Use your complete list of physical parameters to complete a dimensional analysis to find two II groups (non-dimensional parameters) that govern this problem. Since performing measurements on the WPI smokestack is difficult (and rather dangerous), you decide to perform experiments on a smaller cylinder in the WPI wind tunnel. The WPI smokestack has an average diameter of 8 feet, and the wind speed over the WPI smokestack is 10 mph. A 2 inch diameter cylinder is used to properly model the smokestack flow in the tunnel. c. What is the required wind tunnel air velocity
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