Abstract
An axisymmetric liquid surface has the advantage that the capillary equation reduces to an ordinary differential equation of order two. In the absence of gravity and rotation its solutions are unduloids or nodoids. The solutions in the presence of gravity and rotation are easily obtained by a Runge—Kutta integration. Liquid columns between coaxial circular disks have repeatedly served as model systems for studying convection during crystal growth. Their axial deformations can be classified by the number of nodes in the axial direction, and their lateral deformations by the number of nodes in the azimuthal direction.
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Langbein, D. (2002). Axisymmetric Liquid Columns at Rest and Under Rotation. In: Langbein, D. (eds) Capillary Surfaces. Springer Tracts in Modern Physics, vol 178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45267-2_5
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DOI: https://doi.org/10.1007/3-540-45267-2_5
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