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ON ROTATION OF A FLUID LAYER

ON ROTATION OF A FLUID LAYER A problem of rotation of a fluid layer bounded by a solid plane and a free surface parallel to this plane is considered. The fluid can be an ideal or a viscous fluid. Conditions for the existence of solutions of the corresponding problems for the Euler and Navier–Stokes equations on an infinite time interval are formulated. Examples of the numerical solution of the problem are presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Mechanics and Technical Physics Springer Journals

ON ROTATION OF A FLUID LAYER

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Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2023
ISSN
0021-8944
eISSN
1573-8620
DOI
10.1134/s0021894422060116
Publisher site
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Abstract

A problem of rotation of a fluid layer bounded by a solid plane and a free surface parallel to this plane is considered. The fluid can be an ideal or a viscous fluid. Conditions for the existence of solutions of the corresponding problems for the Euler and Navier–Stokes equations on an infinite time interval are formulated. Examples of the numerical solution of the problem are presented.

Journal

Journal of Applied Mechanics and Technical Physics – Springer Journals

Published: Dec 1, 2022

Keywords: fluid flow with a free boundary; exact solutions

References

  • Problem of Deformation of a Viscous Layer
    Zhuravleva, E.N.; Pukhnachev, V.V.
  • Viscous Flows with Flat Free Boundaries
    Pukhnachev, V.V.; Zhuravleva, E.N.
  • A class of exact, time-dependent, free-surface flows
    Longuet-Higgins, M.S.
  • Über Laminare und Turbulente Reibung
    Karman, T.
  • The Thickness of a Viscous Liquid Film on a Rotating Disk
    Matsumoto, S.; Saito, K.; Takashima, Y.
  • Limiting Regimes of Layer Spreading on a Rotating Plane
    Lavrent’eva, O.M.; Volkova, G.B.
  • Flow of a Viscous Liquid in a Layer on a Rotating Plane
    Lavrent'eva, O.M.