Fluid Dynamics

, Volume 9, Issue 6, pp 1012–1015 | Cite as

First-order approximation in a steady fluid flow problem with surface forces taken into account

  • V. S. Temkina


The plane problem of finding the shape of the free surface of an ideal incompressible fluid is considered for a fully developed discharge from an infinite layer through a point sink. The gravitational and surface stress forces are taken into account.


Free Surface Fluid Flow Plane Problem Flow Problem Incompressible Fluid 
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Literature cited

  1. 1.
    G. V. Shcherbina, “Shape of the free surface of an ideal incompressible fluid,” in: Mathematical Physics and Functional Analysis [in Russian], No. 1, Khar'kov (1969).Google Scholar
  2. 2.
    N. N. Moiseev and V. V. Rumyantsev, Dynamics of Bodies with Cavities Containing Fluids [in Russian], Nauka, Moscow (1965).Google Scholar
  3. 3.
    L. A. Temkin, V. S. Temkina, and G. V. Shcherbina, “Solution of the problem of fluid flow in an infinite T-shaped region by using a Fredholm equation of the first kind,” in: Computational Mathematics and Computational Techniques [in Russian], No. 2, Khar'kov (1971).Google Scholar
  4. 4.
    A. S. Povitskii and L. Ya. Lyubin, Principles of Dynamics and Heat-Mass Transfer of Weightless Liquids and Gases [in Russian], Mashinostroenie, Moscow (1972).Google Scholar
  5. 5.
    V. S. Sizonov, “Dynamic sinking of the level of the free surface of a liquid above a discharge opening,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza, No. 6 (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • V. S. Temkina
    • 1
  1. 1.Khar'kov

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