Dynamics of the capillary rise in tilted Taylor-Hauksbee cells

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_se 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 ∼ t^1/3. Experiments performed at various inclinations are consistent with our theoretical results.