ON THE BEHAVIOR OF A CAPILLARY SURFACE IN A WEDGE*
AUTOR(ES)
Concus, Paul
RESUMO
Estimates above and below are obtained for the height of the equilibrium free surface of a liquid when the liquid partially fills a cylindrical container whose cross section contains a corner with interior angle 2α. The surface is characterized by the condition that its mean curvature be proportional to its height above a reference plane (or, in the case of zero gravity, that the mean curvature be constant), and by the requirement that it meet the container wall with prescribed contact angle γ. It turns out that the qualitative behavior of such a surface near the vertex changes markedly, according as α + γ < ½π, or α + γ ≥ ½π. In the former case, the surface is either unbounded or fails to exist, while in the latter case every such surface is bounded. Some experimental comparisons are indicated, and an application to the problem of describing the mechanism of water rise in trees is discussed.
ACESSO AO ARTIGO
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