Fluid Dynamics

, Volume 8, Issue 2, pp 196–200 | Cite as

Vertical immersion of a cylindrical floating solid

  • V. N. Shats


This paper is devoted to a study of the vortex-free (irrotational) motion of an ideal incompressible liquid during the vertical immersion of a cylindrical solid. In contrast to problems of impact [1] and the entry of a solid into water [2], the case here treated deals with continuous immersion involving a change in the shape of the free surface but with a constant width of the wetted surface of the solid. The coefficients of the time-dependent power series for the velocity potential, the equation of the free surface, and the pressure on the solid are determined, allowing for all the terms in the Cauchy-Lagrange equation. The results of calculations relating to the immersion of a bottom with an elliptical shape of the submerged part are presented.


Free Surface Power Series Velocity Potential Elliptical Shape Constant Width 
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Literature cited

  1. 1.
    L. I. Sedov, Plane Problems of Hydrodynamics and Aerodynamics [in Russian], Nauka, Moscow (1966).Google Scholar
  2. 2.
    G. V. Logvinovich, Hydrodynamics of Flows with Free Boundaries [in Russian], Naukova Dumka, Kiev (1969).Google Scholar
  3. 3.
    M. V. Keldysh and L. I. Sedov, “Effective solution of certain problems involving harmonic functions”, Dokl. Akad. Nauk SSSR,16, No. 1 (1937).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • V. N. Shats
    • 1
  1. 1.Leningrad

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