Multiple Liquid Bridges with Non-Smooth Interfaces
Fluid Dynamics
2016-08-24 v1
Abstract
We consider a coexistence of two axisymmetric liquid bridges LB_i and LB_m of two immiscible liquids i and m which are immersed in a third liquid (or gas) e and trapped between two smooth solid bodies with axisymmetric surfaces S_1,S_2 and free contact lines. Evolution of liquid bridges allows two different configurations of LB_i and LB_m with multiple (five or three) interfaces of non-smooth shape. We formulate a variational problem with volume constraints and present its governing equations supplemented by boundary conditions. We find a universal relationship between curvature of the interfaces and discuss the Young relation at the singular curve where all liquids meet together.
Cite
@article{arxiv.1508.04151,
title = {Multiple Liquid Bridges with Non-Smooth Interfaces},
author = {Leonid Fel and Boris Rubinstein and Vadim Ratner},
journal= {arXiv preprint arXiv:1508.04151},
year = {2016}
}
Comments
14 pages, 4 Figured