...except that modern airspeed indicators are designed for compressible flow and the whole argument about 'compressibility corrections' is largely irrelevant here.* The solution derived from Euler's dynamic equations and the equation of state by Jean Claude Barré de Saint-Venant (used in modern FAA/EASA-approved ASIs) is valid below M 1.0, and
reasonably accurate until about M 1.3, after which the Rayleigh 'supersonic' Pilot tube formula should be used.
* See Old Smokey's 2006-01-12 post on
dynamic -v- impact pressure here:
http://www.pprune.org/questions/2057...ml#post2318100
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See also
NACA Technical Report 837 (Langley, 1946).