A universal law for capillary rise in corners

Alexandre Ponomarenko (1, 2) , David Quéré (1, 2) , Christophe Clanet (1, 2)

1 LadHyX - Laboratoire d'hydrodynamique
2 PMMH - Physique et mécanique des milieux hétérogenes (UMR 7636)

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 ≈ (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.

Domains: Fluid mechanics [physics.class-ph]; Fluids mechanics [physics.class-ph]

Alexandre Ponomarenko, David Quéré, Christophe Clanet. A universal law for capillary rise in corners. Journal of Fluid Mechanics, 2011, 666 (january), pp.146-154. ⟨10.1017/s0022112010005276⟩. ⟨hal-00994488⟩