Fluid Dynamics

, Volume 3, Issue 5, pp 17–20 | Cite as

Velocity field generated by wing vibrations propagating along the surface

  • E. A. Krasil'shchikova


The velocity field generated by wing vibrations propagating along an elastic wing surface with finite velocity is studied.

The gasdynamic problem is reduced to a mixed boundary-value problem with a moving boundary for the three-dimensional wave equation. The solution is obtained in closed form when the wing travels at supersonic velocity following an arbitrary law, the vibration propagation front is an arbitrary curve displacing along the wing surface, and the wing edges are supersonic.


Velocity Field Wave Equation Closed Form Propagation Front Wing Surface 
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  1. 1.
    L. I. Sedov, Plane Problems of Hydrodynamics and Aerodynamics [in Russian], 2nd edition, Nauka, Moscow, 1966.Google Scholar
  2. 2.
    E. A. Krasil'shchikova, “Unsteady motions of a wing of finite span in a compressible medium”, Izv. SSSR, OTN, no. 3, 1958.Google Scholar
  3. 3.
    E. A. Krasil'shchikova, The Finite Span Wing in Compressible Flow [in Russian], Gostekhizdat, Moscow-Leningrad, 1952.Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • E. A. Krasil'shchikova
    • 1
  1. 1.Moscow

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