ANALYTICAL STUDY OF AIR DATA EQUATIONS FOR A HEMISPHERICAL PRESSURE PROBE THROUGH THE HYPERSONIC MACH NUMBER RANGE

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Abstract:

Air data outputs obtainable from pressure measurements on a hemispherical probe were investigated analytically for Mach numbers of 0 to 20 and altitudes from 0 to 300,000 feet. Angles of attack from 50 deg to -20 deg and angles of sideslip up to and - 15 deg are considered using a five orifice probe. Emphasis was placed on the hypersonic regime wherein air data parameters were shown to be obtainable by using a simplified set of pressure relations. Expressions for determining the uncertainties in the air data outputs resulting from both pressure measurement error and simplifying assumptions used in deriving the air data equations are presented. Errors resulting from changes in probe shape due to ablation are also considered. Finally, limitations in deriving air data information with this approach are presented.

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