Fluid Dynamics

, Volume 2, Issue 6, pp 68–71 | Cite as

Unsteady hydroplaning and motion of a profile with trailing vortices

  • V. A. Eroshin
Article
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Abstract

In the present paper we consider in the Sedov formulation the problems of unsteady motion of a profile with trailing vortices, rebounding, and non-self-similar hydroplaning contact. The basic integral equation for determining the vortex distribution density is reduced to the Abel equation by solving an auxiliary system of ordinary differential equations. The rebounding limit is determined for a flat plate.

Keywords

Vortex Differential Equation Integral Equation Ordinary Differential Equation Distribution Density 

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References

  1. 1.
    H. Wagner, “Über Stoss- und Gleitvorgänge an der Öberfläche von Flüssigkeiten”, Z. angew. Math. und Mech., vol. 12, no. 4, pp. 193–216, 1932.Google Scholar
  2. 2.
    L. I. Sedov, “Theory of unsteady hydroplaning and motion of a profile with trailing vortices,” Tr. TsAGI, no. 252, 1936.Google Scholar
  3. 3.
    S. G. Mikhlin, Linear Integral Equations [in Russian], Fizmatgiz, 1959.Google Scholar
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    H. Wagner, “Über die Entstehung dynam. Auftriebs von Trägflügeln”, Z. angew. Math. und Mech., vol. 5, no. 1, pp. 17–35, 1925.Google Scholar

Copyright information

© Consultants Bureau 1971

Authors and Affiliations

  • V. A. Eroshin
    • 1
  1. 1.Moscow State University Research Institute for MechanicsUSSR

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