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Onset of menisci

Published online by Cambridge University Press:  25 June 2002

CHRISTOPHE CLANET  and
DAVID QUÉRÉ
CHRISTOPHE CLANET
Affiliation:
Institut de Recherche sur les Phénomènes Hors Equilibre, UMR 6594, 49 rue F. Joliot Curie, B.P. 146, 13384 Marseille, France
DAVID QUÉRÉ
Affiliation:
Laboratoire de Physique de la Matière Condensée, URA 792 du CNRS, Collège de France, 75231 Paris Cedex 05, France
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Abstract

When a vertical solid is brought in contact with the surface of a wetting liquid, a meniscus starts rising up the solid, until it reaches its steady state. We study this dynamical phenomenon experimentally with liquids of low and high viscosity, and taking as solids either large rods or small fibres. In the inviscid limit, we show that the rising time scales as √(ρr30/σ), where ρ and σ are the density and surface tension of the wetting liquid and r0 the radius of the fibre. This characteristic time holds for small fibres, with radii smaller than the capillary length a. For large rods or planar solids, r0 is replaced by a in the expression for the rising time. In the viscous limit, the rising time scales as ηr0/σ where η is the dynamical viscosity. Again, r0 is replaced by the capillary length a for large rods.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 460 , 10 June 2002 , pp. 131 - 149
Copyright
© 2002 Cambridge University Press

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