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The Rayleigh Pitot tube formula does not relate which of these quantities to the others?

(a) Pitot pressure

(b) Free-stream static pressure

(c) Free-stream Mach number

(d) Upstream flow velocity

This question was addressed to me in an interview for job.

This interesting question is from Measurement of Velocity in a Compressible Flow topic in portion Normal Shock Waves of Aerodynamics

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Right option is (b) Free-stream static pressure

For explanation: The Rayleigh Pitot tube formula helps to calculate the free- stream Mach number using the measured values of free-stream static pressure and Pitot pressure. It is based on the fact that a bow shock is formed at the mouth of the Pitot tube for a compressible supersonic flow. The Pitot pressure is the stagnation pressure behind the bow shock.

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