4.7 Article

A universal law for capillary rise in corners

Journal

JOURNAL OF FLUID MECHANICS
Volume 666, Issue -, Pages 146-154

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022112010005276

Keywords

capillary flows; porous media

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We study the capillary rise of wetting liquids in the corners of different geometries and show that the meniscus rises without limit following the universal law: h(t)/a approximate to (gamma t/eta a)(1/3), where gamma and eta stand for the surface tension and viscosity of the liquid while a = root gamma/rho g is the capillary length, based on the liquid density rho and gravity g. This law is universal in the sense that it does not depend on the geometry of the corner.

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