A plane steady-state free-boundary problem for the navier-stokes equations

  • V. V. Pukhnachev
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Abstract

The model problem of the plane slow steady-state motion of a viscous incompressible fluid with a free boundary is investigated. It is assumed that the free boundary does not have any points in common with the solid surfaces confining the fluid. By the solution of the auxiliary fixed-boundary problem for the Navier-Stokes equations the problem is reduced to an operator equation describing the form of the free surface. The existence and uniqueness problems for the solution and its qualitative behavior are analyzed.

Keywords

Mathematical Modeling Mechanical Engineer Free Surface Industrial Mathematic Solid Surface 
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Copyright information

© Consultants Bureau 1974

Authors and Affiliations

  • V. V. Pukhnachev
    • 1
  1. 1.Novosibirsk

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