2009/04/01 by C. M. Pooley, Halim Kusumaatmaja, H. Kusumaatmaja +2 · 50 citations
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Aerosol Filtration and Electrostatic Precipitation #Binary number #Capillary action #Capillary condensation #Capillary number #Chemistry #Fluid Dynamics and Thin Films #Geometry #Lattice Boltzmann Simulation Studies #Lattice Boltzmann methods #Materials science #Mathematics #Mechanics #Penetration (warfare) #Physics #Scaling #Scaling law #Statistical physics #Thermodynamics #physics.comp-ph #physics.flu-dyn
paper · pdf · doi:10.1140/epjst/e2009-01012-0
published in The European Physical Journal Special Topics 171(1), 63-71 (Springer Science+Business Media) · 9 pages, 7 figures, DSFD 2007 proceedings
openalex publication_date 2009/04/01 · arxiv created 2009/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the dynamics of capillary filling using two lattice Boltzmann schemes: a liquid-gas model and a binary model. The simulation results are compared to the well-known Washburn's law, which predicts that the filled length of the capillary scales with time as l ∝ t1/2. We find that the liquid-gas model does not reproduce Washburn's law due to condensation of the gas phase at the interface, which causes the asymptotic behaviour of the capillary penetration to be faster than t1/2. The binary model, on the other hand, captures the correct scaling behaviour when the viscosity ratio between the two phases is sufficiently high.