Fluid Dynamics

, Volume 9, Issue 3, pp 461–464 | Cite as

Motion of a deformed contour in a flow of an ideal incompressible liquid with a constant vorticity

  • S. D. Vil'khovchenko
Article
  • 10 Downloads

Abstract

The article gives a solution to the plane problem of the motion of a deformed contour in a flow of an ideal incompressible liquid with a constant vorticity. An explicit expression is obtained for the hydrodynamic force when the velocity of the external flow depends linearly on the coordinates. In the case of a contour of small dimensions, this expression is valid also for an arbitrary external flow.

Keywords

Vorticity Explicit Expression Plane Problem Small Dimension Hydrodynamic Force 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    L. I. Sedov, Plane Problems in Hydrodynamics and Aerodynamics [in Russian], 2nd ed., Izd. Nauka, Moscow (1972).Google Scholar
  2. 2.
    O. V. Golubeva, Course in the Mechanics of Continuous Media [in Russian], Izd. Vysshaya Shkola, Moscow (1972).Google Scholar
  3. 3.
    Yu. L. Yakimov, “The forces acting on a small body in an arbitrary flow of an incompressible liquid, and the equations of motion of a two-phase medium,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. Gaza, No. (1973).Google Scholar
  4. 4.
    Yu. L. Yakimov, “Motion of a cylinder in an arbitrary plane flow of an ideal incompressible liquid,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. Gaza, No. 2 (1970).Google Scholar
  5. 5.
    I. G. Druker, “The lifting force acting on a contour in a plane homogeneously vortical flow of an incompressible ideal liquid,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 2 (1966).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • S. D. Vil'khovchenko
    • 1
  1. 1.Moscow

Personalised recommendations