Open AccessThe small parameter method in the problem of the lateral surface shape of the vertical liquid bridge between planes
Author(s) -
E. V. Galaktionov,
N. E. Galaktionova,
É. A. Tropp
Publication year - 2019
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 - 10.1088/1742-6596/1400/4/044025
Subject(s) - bridge (graph theory) , uniqueness , surface (topology) , series (stratigraphy) , parametric statistics , mathematics , geometry , mathematical analysis , problem statement , geology , engineering , statistics , medicine , paleontology , management science
The article is devoted to the study of the shape of the vertical liquid bridge between two solid planes with take into account the gravity force. The variation problem statement is given. The parametric form of solution presentation is used. The solution is constructed as a series in powers of a small Bond number. An algorithm for finding zeroth and the subsequent approximations is proposed. A non-uniqueness of the solution is detected. There may be several different profiles of its lateral surface for a fixed height of the liquid bridge. The dependence of the solutions number on the liquid bridge height has been analyzed.