A student needs to measure the drag on a prototype of characteristicdimension d p moving at velocity U p in air at standardatmospheric conditions. He constructs a model ofcharacteristic dimension d m , such that the ratio d p / d m issome factor f . He then measures the drag on the model atdynamically similar conditions (also with air at standardatmospheric conditions). The student claims that the dragforce on the prototype will be identical to that measured onthe model. Is this claim correct? Explain.

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 5.70P
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A student needs to measure the drag on a prototype of characteristic
dimension d p moving at velocity U p in air at standard
atmospheric conditions. He constructs a model of
characteristic dimension d m , such that the ratio d p / d m is
some factor f . He then measures the drag on the model at
dynamically similar conditions (also with air at standard
atmospheric conditions). The student claims that the drag
force on the prototype will be identical to that measured on
the model. Is this claim correct? Explain.

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