Beading instability and spreading kinetics in grooves with convex curved sides
Abstract
The coarsening kinetics for the beading instability for liquid contained in a groove with convex curved sides (for example between a pair of parallel touching cylinders) is considered as an open channel flow problem. In contrast to a V-shaped wedge or U-shaped microchannel, it is argued that droplet coarsening takes place by viscous hydrodynamic transport through a stable column of liquid that coexists with the droplets in the groove at a slightly positive Laplace pressure. With some simplifying assumptions, this leads to a t^(1/7) growth law for the characteristic droplet size as a function of time, and a t^(-3/7) law for the decrease in the droplet line density. Some remarks are also made on the spreading kinetics of an isolated drop deposited in such a groove.
Keywords
Cite
@article{arxiv.1501.05220,
title = {Beading instability and spreading kinetics in grooves with convex curved sides},
author = {Patrick B Warren},
journal= {arXiv preprint arXiv:1501.05220},
year = {2015}
}
Comments
6 pages, 5 figures, RevTeX 4.1 -- now includes a quantitative analysis, supported by simulations of a 1d coarsening model