A student needs to measure the drag on a prototype of characteristic length d, moving at velocity U, in air at sea-level conditions. She constructs a model of characteristic length dm such that the ratio d,/dm = a factor f. She then measures the model drag under dynamically similar conditions in sea-level air. The student claims that the drag force on the prototype will be identical to that of the model.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
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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A student needs to measure the drag on a prototype of
characteristic length d, moving at velocity U, in air at sea-level
conditions. She constructs a model of characteristic length dm
such that the ratio d,/dm
drag under dynamically similar conditions in sea-level air. The
student claims that the drag force on the prototype will be
= a factor f. She then measures the model
identical to that of the model.
Is her claim correct? Explain, showing your work (no credit for
just guessing).
Transcribed Image Text:A student needs to measure the drag on a prototype of characteristic length d, moving at velocity U, in air at sea-level conditions. She constructs a model of characteristic length dm such that the ratio d,/dm drag under dynamically similar conditions in sea-level air. The student claims that the drag force on the prototype will be = a factor f. She then measures the model identical to that of the model. Is her claim correct? Explain, showing your work (no credit for just guessing).
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