A finite element method for capillary surfaces with volume constraints

doi:10.1016/0021-9991(90)90229-T

Journal of Computational Physics

Volume 87, Issue 1, March 1990, Pages 126-136

https://doi.org/10.1016/0021-9991(90)90229-T Get rights and content

Abstract

Capillary surfaces with prescribed volume are determined numerically. The obstacles that confine the given amount of liquid may be planes in space arbitrarily chosen. Parameters of the problem are the Bond number, the contact angle, and the volume. Results for several examples are presented, such as a drop in a corner and on an edge.

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There are more references available in the full text version of this article.

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A finite element method for capillary surfaces with volume constraints

Abstract

Equilibrium Capillary Surfaces

Axisymmetric Fluid-Liquid Interfaces

Math. Comput.

Capillary Surfaces and Dry Spots in a Cylinder

A Course in Differential Geometry