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manuscripta mathematica

, Volume 39, Issue 2–3, pp 287–296 | Cite as

The symmetry of rotating fluid bodies

  • Henry C. Wente
Article

Abstract

Consider an incompressible fluid body (in outer space) rotating about an axis with a given angular velocity ω, and which is in equilibrium relative to the potential energy of its own gravitational field and the surface energy due to surface tension. We show that such a body possesses a plane of symmetry perpendicular to the axis of rotation such that any line parallel to the axis and meeting the body cuts it in a line segment whose center lies on the plane of symmetry. This extends an earlier result of L. Lichtenstein [4].

Keywords

Surface Tension Angular Velocity Line Segment Gravitational Field Liquid Drop 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    R.A. BROWN and L.E. SCRIVEN: The Shape and Stability of Rotating Liquid Drops. Proc. Roy. Soc. London A 371 (1980) 331–357MathSciNetCrossRefzbMATHGoogle Scholar
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Henry C. Wente
    • 1
  1. 1.Department of MathematicsUniversity of ToledoToledoUSA

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