Abstract

DIEZ-BARROSO, R.; MEDINA, A.; LOPEZ-VILLA, A.  and  HIGUERA, F. J.. Dynamics of the capillary rise in tilted Taylor-Hauksbee cells. Rev. mex. fis. [online]. 2022, vol.68, n.6.  Epub July 31, 2023. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.68.060601.

In this work, we theoretically and experimentally study the issue of the spontaneous capillary rise of a viscous liquid in wedge-shaped tilted cells, with very short angles of aperture, α. We provide the equilibrium profiles $y_{s_e}$ and, by means of the Reynolds lubrication equations, we find the time-dependent profiles and the dynamic evolution of the meniscus close to the edge of the wedge, as a function of time, which follow power laws of the form $y_s\sim t^{1/3}$. Experiments performed at various inclinations are consistent with our theoretical results.

Keywords : Capillary rise; hydrostatics; lubrication flows.

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