Fluid Dynamics

, Volume 10, Issue 3, pp 479–481 | Cite as

A case of jet flow of a gravity fluid

  • L. M. Kotlyar


The problem of plane steady ideal heavy fluid flow bounded by an impermeable polygonal section, a curvilinear arc section, and a finite section of free surface is investigated in an exact nonlinear formulation. Hydrodynamic singularities may exist in the stream. A large class of captation problems of jet theory reduces to studying this kind of flow. The unique solvability of the problem under investigation is proved for sufficiently large Froude numbers and small arc curvature. A method of solution is given and an example is computed. Such problems have been solved earlier by numerical methods [1–3]. Some problems about jet flows of a gravity fluid with polygonal solid boundaries have been investigated by an analogous method in [4, 5].


Fluid Flow Froude Number Solid Boundary Unique Solvability Analogous Method 
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Literature cited

  1. 1.
    V. N. Shepelenko, “On the computation of cavitation flows,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1968).Google Scholar
  2. 2.
    Yu. P. Zuikov and V. N. Shepelenko, “Computation of plane cavitation flows in a transverse gravity field,” in: Materials of an All-Union Conference on Boundary-Value Problems [in Russian], Izd. Kazan'. Univ., Kazan' (1970).Google Scholar
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    L. G. Guzevskii, “Numerical-analytic method of computing the jet flow around curvilinear obstacles by a gravity fluid stream,” Zh. Prikl. Mekh. Tekh. Fiz., No. 6 (1972).Google Scholar
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    A. V. Kuznetsov, O. M. Kiselev, L. M. Kotlyar, and A. G. Terent'ev, “Theoretical investigation of nonlinear fluid flow problems with free boundaries,” in: Unsteady High-Velocity Water Flows [in Russian], Nauka, Moscow (1973).Google Scholar
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    O. M. Kiselev and L. M. Kotlyar, “On the problem of gravity fluid flow with two free surfaces,” Prikl. Mat. Mekh.,37, No. 5 (1973).Google Scholar
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    L. I. Sedov, Plane Problems of Hydrodynamics and Aerodynamics [in Russian], Nauka, Moscow (1966).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • L. M. Kotlyar
    • 1
  1. 1.Kazan'

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