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A universal law for capillary rise in corners

Published online by Cambridge University Press:  06 January 2011

ALEXANDRE PONOMARENKO ,
DAVID QUÉRÉ  and
CHRISTOPHE CLANET
ALEXANDRE PONOMARENKO
Affiliation:
PMMH (Physique et Mécanique des Milieux Hétérogènes), UMR7636 du CNRS, ESPCI, 10 rue Vauquelin, 75005 Paris, and LadHyX, UMR7646 du CNRS, Ecole Polytechnique, 91128 Palaiseau, France
DAVID QUÉRÉ
Affiliation:
PMMH (Physique et Mécanique des Milieux Hétérogènes), UMR7636 du CNRS, ESPCI, 10 rue Vauquelin, 75005 Paris, and LadHyX, UMR7646 du CNRS, Ecole Polytechnique, 91128 Palaiseau, France
CHRISTOPHE CLANET*
Affiliation:
PMMH (Physique et Mécanique des Milieux Hétérogènes), UMR7636 du CNRS, ESPCI, 10 rue Vauquelin, 75005 Paris, and LadHyX, UMR7646 du CNRS, Ecole Polytechnique, 91128 Palaiseau, France
*
†Email address for correspondence: [email protected]
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Abstract

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 ≈ (γt/ηa)1/3, where γ and η stand for the surface tension and viscosity of the liquid while is the capillary length, based on the liquid density ρ and gravity g. This law is universal in the sense that it does not depend on the geometry of the corner.

JFM classification

Interfacial Flows (free surface): Capillary flows Low-Reynolds-number flows: Porous media
Type
Papers
Information
Journal of Fluid Mechanics , Volume 666 , 10 January 2011 , pp. 146 - 154
Copyright
Copyright © Cambridge University Press 2011

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