2008/01/28 by S. Chibbaro, Sergio Chibbaro, L. Biferale +8
Engineering · Physics and Astronomy · #Aerosol Filtration and Electrostatic Precipitation #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #Fluid Dynamics and Thin Films #Lattice Boltzmann Simulation Studies #nlin.CG
paper · pdf · doi:10.48550/arxiv.0801.4225
Proceedings for DSFD 2007 Conference
arxiv created 2008/01/28 · openalex publication_date 2008/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a systematic study of capillary filling for a binary fluid by using mesoscopic a lattice Boltzmann model describing a diffusive interface moving at a given contact angle with respect to the walls. We compare the numerical results at changing the ratio the typical size of the capillary, H, and the wettability of walls. Numerical results yield quantitative agreement with the Washburn law in all cases, provided the channel lenght is sufficiently larger then the interface width. We also show that in the initial stage of the filling process, transient behaviour induced by inertial effects are under control in our lattice Boltzmann equation and in good agreement with the phenomenology of capillary filling. Finally, at variance with multiphase LB simulations, velocity and pressure profiles evolve under the sole effect of capillary drive all along the channel.