Self-sustained oscillations of a shock wave interacting with a boundary layer on a supercritical airfoil |
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Authors: | CS Ventres MS Howe |
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Institution: | Department of Aerospace and Mechanical Engineering, College of Engineering, Boston University, 110 Cummington Street, Boston, Massachusetts 02215, U.S.A.;Bolt Beranek and Newman Inc., 50 Moulton Street, Cambridge, Massachusetts 02238, U.S.A. |
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Abstract: | A theory is proposed of the self-sustaining oscillations of a weak shock on an airfoil in steady, transonic flow. The interaction of the shock with the boundary layer on the airfoil produces displacement thickness fluctuations which convect downstream and generate sound by interaction with the trailing edge. A feedback loop is established when this sound impinges on the shock wave, resulting in the production of further fluctuations in the displacement thickness. The details are worked out for an idealized mean boundary layer velocity profile, but strong support for the basic hypotheses of the theory is provided by a comparison with recent experiments involving the generation of acoustic “tone bursts” by a supercritical airfoil section. |
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