Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Chapter 7, Problem 55P
In some speed ranges, vortices are shed from the rear of bluff cylinders placed across a flow. The vortices alternately leave the top and bottom of the cylinder, as shown, causing an alternating force normal to the freestream velocity. The vortex shedding frequency, f, is thought to depend on ρ, d, V, and μ. Use dimensional analysis to develop a functional relationship for f. Vortex shedding occurs in standard air on two cylinders with a diameter ratio of 2. Determine the velocity ratio for dynamic similarity, and the ratio of vortex shedding frequencies.
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The
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following data is measured for the dimensionless velocity u of a fluid as a function of dimensionless location and dimension-
time t:
t=0
t=2
t = 4
t = 6
t = 8
x=0
0
3
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13
15
22
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x=2
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22
17
14
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Chapter 7 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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