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The Quarterly Journal of Mechanics and Applied Mathematics 1952 5(2):137-154; doi:10.1093/qjmam/5.2.137
© 1952 by Oxford University Press
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ON THE LINEARIZED POTENTIAL THEORY OF UNSTEADY SUPERSONIC MOTION. II

K. STEWARTSON

( The University Bristol 8 )

The velocity potential on a nearly plane wing executing simple harmonic motion in a uniform supersonic stream is obtained in a form suitable for systematic computation. Near subsonic trailing edges it is more convenient to use the acceleration potential, and if the wing has no supersonic leading edges the expressions become very complicated.

Convenient forms for the solution when the flow is steady are also obtained, and if the wing has straight edges lying entirely within the Mach cone from the tip, a transformation is given correlating unsteady and steady flows. The assumptions of the linearized potential theory are used throughout.


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