An airplane, of overall length 55 ft, is designed to fl y at680 m/s at 8000-m standard altitude. A one-thirtieth-scalemodel is to be tested in a pressurized helium wind tunnel at20 ° C. What is the appropriate tunnel pressure in atm? Evenat this (high) pressure, exact dynamic similarity is notachieved. Why?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter20: Kinetic Theory Of Gases
Section20.7: Phase Changes
Problem 20.5CE
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An airplane, of overall length 55 ft, is designed to fl y at
680 m/s at 8000-m standard altitude. A one-thirtieth-scale
model is to be tested in a pressurized helium wind tunnel at
20 ° C. What is the appropriate tunnel pressure in atm? Even
at this (high) pressure, exact dynamic similarity is not
achieved. Why?

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