Characteristic Angles in the Wetting of an Angular Region: Surface Shape
Abstract
The shape of a liquid surface bounded by an acute or obtuse planar angular sector is considered by using classical analysis methods. For acute angular sectors the two principal curvatures are of the order of the (fixed) mean curvature. But for obtuse sectors, the principal curvatures both diverge as the vertex is approached. The power-law divergence becomes stronger with increasing opening angle. Possible implications of this contrasting behavior are suggested.
Cite
@article{arxiv.cond-mat/0006387,
title = {Characteristic Angles in the Wetting of an Angular Region: Surface Shape},
author = {Yuri O. Popov and Thomas A. Witten},
journal= {arXiv preprint arXiv:cond-mat/0006387},
year = {2009}
}
Comments
19 pages, 9 figures, LaTeX; submitted to The European Physics Journal E; v2: Introduction was revised (a number of references added), minor changes to the main part (mostly typos), former Implications subsection was almost entirely rewritten and is now called Experimental Realizations (experimental results and two figures added); v3: Introduction was slightly modified, four references added; v4: Title was modified, section Calculation was significantly modified (subsections Bounary Problem and Horizontal Solution almost entirely rewritten, minor changes to the other subsections), subsection Curvature in section Discussion was revised, one reference added