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The far field of an oscillating airfoil in supersonic flow

Published online by Cambridge University Press:  21 April 2006

A. F. Messiter  and
S. L. Woodruff
A. F. Messiter
Affiliation:
Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140, USA
S. L. Woodruff
Affiliation:
Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140, USA
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Abstract

An approach utilizing multiple scales and matched asymptotic expansions is developed for the description of small perturbations at large distances from a thin airfoil oscillating harmonically in a uniform supersonic flow. The problem of determining the unsteady perturbation potential is formulated in general, and an analytical solution is derived for an airfoil with parabolic or flat surfaces. The results describe the flow ahead of the region influenced by the trailing edge. The variation in the pressure jump across an attached leading-edge shock wave is also obtained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 183 , October 1987 , pp. 175 - 183
Copyright
© 1987 Cambridge University Press

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References

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