Dynamics of the capillary rise in tilted Taylor-Hauksbee cells

• R. Diéz-Barroso ^[1] ; A. Medina ^[1] ; A. López-Villa ^[1] ; F.J. Higuera ^[2]
  1. [1] Instituto Politécnico Nacional

     Instituto Politécnico Nacional

     México

     
  2. [2] Universidad Politécnica de Madrid

     Universidad Politécnica de Madrid

     Madrid, España

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 68, Nº. 6, 2022, págs. 1008-1013
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

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