Problem 02 The drag force FD, on a sphere depends on the relative velocity V, sphere diameter D, the fluid density p, and the fluid viscosity μ. (a) Obtain a set of non-dimensional groups that can be used to correlate experimental data. (b) The Stokes solution (obtained in the limit of small relative velocities) states FD = 3πμDV Find the exact relationship between drag coefficient CD and Reynolds number Re. Note CD = (1/2)pV²(D²/4) 1

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.9P: When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the...
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Problem 02
The drag force FD, on a sphere depends on the relative velocity V, sphere diameter D, the fluid
density p, and the fluid viscosity μ.
(a) Obtain a set of non-dimensional groups that can be used to correlate experimental data.
(b) The Stokes solution (obtained in the limit of small relative velocities) states
FD = 3πμDV
Find the exact relationship between drag coefficient CD and Reynolds number Re. Note
CD = (1/2)pV²(D²/4)
1
Transcribed Image Text:Problem 02 The drag force FD, on a sphere depends on the relative velocity V, sphere diameter D, the fluid density p, and the fluid viscosity μ. (a) Obtain a set of non-dimensional groups that can be used to correlate experimental data. (b) The Stokes solution (obtained in the limit of small relative velocities) states FD = 3πμDV Find the exact relationship between drag coefficient CD and Reynolds number Re. Note CD = (1/2)pV²(D²/4) 1
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