Stability Criteria

  • Dieter Langbein
Chapter
Part of the Springer Tracts in Modern Physics book series (STMP, volume 178)

Abstract

The capillary equation is the Euler—Lagrange equation resulting from minimizing the energy of the liquid under the constraints of constant liquid volume, constant angular momentum, constant frequency of rotation, etc. A solution of the capillary equation, however, is not automatically stable. One may have reached a saddle point or even a maximum of the energy instead. Around an extremum, the energy of the liquid can be represented by a quadratic form in the coordinates, which may be transformed to its principal axes. If all eigenvalues of this transformation are positive, the surface is stable.

Keywords

Contact Angle Contact Line Circular Tube Viscous Friction Recede Contact Angle 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Dieter Langbein
    • 1
  1. 1.Universität BremenBremenGermany

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