Characteristic Angles in the Wetting of an Angular Region: Surface Shape

Details Characteristic Angles in the Wetting of an Angular Region: Surface Shape Characteristic Angles in the Wetting of an Angular Region: Surface Shape

2000-06-24

arxiv.org/abs/cond-mat/0006387v4

European Physical Journal E, v. 6, pp. 211-220 (2001)

Physics

Condensed Matter

19 pages, 9 figures, LaTeX; submitted to The European Physics Journal E; v2: Introduction was revised (a number of references

Scientific paper

10.1007/s101890170003

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.

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