Recovery of freestream disturbance spectrum from stagnation pressure spectrum for hypersonic pitot probes

Ross S. Chaudhry, Graham V Candler

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


An investigation of the transfer function of freestream disturbances to measured transducer pressure spectrum is presented. We simulate flow around a variety of probe geometries corresponding to instruments used by hypersonic experimental facilities. The stagnation pressure spectrum measured by the simulated pressure transducer is compared to the forced freestream disturbances to yield the transfer function. Freestream fast acoustic, slow acoustic, and entropy disturbances are each considered. Calculating the transfer function in this way is novel, and we particular attention to validation. The transfer function is found to be a strong function of probe geometry, and a primary resonance related to the shock standoff distance is found. The effect of freestream Reynolds number, stagnation temperature, and Mach number are investigated. A derivation of the Reynolds-decomposed Rayleigh Pitot-tube equation is also presented, which is shown to yield the transfer function in the low-frequency limit and describe the effect of disturbance type. Finally, we present a normalization using only the freestream conditions and shock standff distance which collapses the transfer functions of all pitot probe cases into a single curve.

Original languageEnglish (US)
Title of host publication54th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624103933
StatePublished - Jan 1 2016
Event54th AIAA Aerospace Sciences Meeting, 2016 - San Diego, United States
Duration: Jan 4 2016Jan 8 2016


Other54th AIAA Aerospace Sciences Meeting, 2016
CountryUnited States
CitySan Diego

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