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

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