Open AccessA universal law for capillary rise in corners
Author(s) -
Alexandre Ponomarenko,
David Quéré,
Christophe Clanet
Publication year - 2011
Publication title -
journal of fluid mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.72
H-Index - 226
eISSN - 1469-7645
pISSN - 0022-1120
DOI - 10.1017/s0022112010005276
Subject(s) - capillary action , surface tension , meniscus , wetting , capillary number , capillary length , mechanics , limit (mathematics) , viscosity , materials science , physics , law , thermodynamics , optics , mathematics , mathematical analysis , incidence (geometry) , political science
International audienceWe 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 ≈ (ɣt/na)⅓, where ɣ and n stand for the surface tension and viscosity of the liquid while a =√γ /ρɣ g is the capillary length, based on the liquid density p and gravity g. This law is universal in the sense that it does not depend on the geometry of the corner. © 2011 Cambridge University Press
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