Open AccessThe shape of a vertical liquid bridge between arbitrary convex surfaces in axisymmetric case
Author(s) -
E. V. Galaktionov,
N. E. Galaktionova,
É. A. Tropp
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1697/1/012081
Subject(s) - rotational symmetry , surface (topology) , regular polygon , bridge (graph theory) , geometry , mathematics , plane (geometry) , iterative method , mathematical analysis , mathematical optimization , medicine
The article is devoted to the study of the lateral surface shape of a vertical liquid bridge of small volume between two arbitrary convex solid surfaces in the axisymmetric case. A variational statement of the original problem is given. The solution is found by the iteration method under the assumption that the Bond number is small. An algorithm for the iterative process is proposed, taking into account the action of gravity. It was found that the maximum number of different profiles of the lateral surface of the liquid bridge corresponding to one selected set of parameters is four. As an example, the problem of the lateral surface shape between a sphere and a plane has been solved.