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Unformatted text preview: 57:020 Mechanics of Fluids and Transport
November 5, 2010 NAME
FluidsID
Quiz 9. The drag force, R, on a sphere located in a pipe through
which a fluid is flowing is to be determined experimentally. Assume that the drag is a function of the sphere diameter, d, the
pipe diameter, D, the fluid velocity, V, and the fluid density, .
(a) What dimensionless parameters would you use for this problem? (b) Some experiments using water
indicate that for d = 0.2 in., D = 0.5 in., and V = 2 ft/s, the drag is 1.5 103 lb. Estimate the drag on a
sphere located in a 2ftdiameter pipe through which water is flowing with a velocity of 6 ft/s. The
sphere diameter is such that geometric similarity is maintained.
Solution:
(a) Given
, where
terms required. By inspection , , , , and , 5 – 3 = 2 pi and by using the exponent method or
(+5 points)
(b) The similarity requirement is so that
(+2 points)
And, so that (with )
(+3 points) ...
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 Fall '10
 FredrickStern
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