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Exotic containers for capillary surfaces

Published online by Cambridge University Press:  26 April 2006

Paul Concus  and
Robert Finn
Paul Concus
Affiliation:
Lawrence Berkeley Laboratory and Department of Mathematics, University of California, Berkeley, CA 94720, USA
Robert Finn
Affiliation:
Department of Mathematics, Stanford University, Stanford, CA 94305, USA
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Abstract

In this paper we discuss ‘exotic’ rotationally symmetric containers that admit an entire continuum of distinct equilibrium capillary free surfaces. The paper extends earlier work to a larger class of parameters and clarifies and simplifies the governing differential equations, while expressing them in a parametric form appropriate for numerical integration. A unified presentation suitable for both zero and non-zero gravity is given. Solutions for the container shapes are depicted graphically along with members of the free-surface continuum, and comments are given concerning possible physical experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 224 , March 1991 , pp. 383 - 394
Copyright
© 1991 Cambridge University Press

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References

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