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Derivation of the “Prandtl-Meyer” Expansion Solution from the Linear Approximation

Published online by Cambridge University Press:  28 July 2016

J. Lockwood Taylor
J. Lockwood Taylor*
Affiliation:
Norges Tekniske Högskole
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Extract

Each small stage of the expansion starts with a uniform supersonic stream and finishes with a similar stream accelerated, expanded and turned through a small angle. We are therefore justified in applying to each stage the linear (Ackeret) approximation for small departures from uniform flow, according to which

where U = air velocity

M = Mach number

α = inclination of flow.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 60 , Issue 541 , January 1956 , pp. 64
Copyright
Copyright © Royal Aeronautical Society 1956

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