Static contact angle in lattice Boltzmann models of immiscible fluids
- 3 October 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 72 (4), 046701
- https://doi.org/10.1103/physreve.72.046701
Abstract
We study numerically the capillary rise between two horizontal plates and in a rectangular tube, using a lattice Boltzmann (LB) method. We derive an equation for the static fluid-solid contact angle as a function of the wetting tendency of the walls and test its validity. We show that the generalized Laplace law with two independent radii of curvature is followed in capillary rise in rectangular tubes. Our method removes the history dependence of the fluid-solid contact angle that had been present in earlier LB schemes.Keywords
This publication has 23 references indexed in Scilit:
- Drainage in a Rough Gouge-Filled FractureTransport in Porous Media, 2003
- Contact line dynamics near the pinning threshold: A capillary rise and fall experimentPhysical Review E, 2000
- Geometry and dynamics of invasion percolation with correlated buoyancyPhysical Review E, 2000
- Experimental study of air-water two-phase flow through a fracture (narrow channel)International Journal of Multiphase Flow, 1995
- Quantitative visualization of entrapped phase dissolution within a horizontal flowing fractureGeophysical Research Letters, 1995
- Laboratory characterization of fluid flow parameters in a porous rock containing a discrete fractureGeophysical Research Letters, 1995
- Two‐phase flow in a variable aperture fractureWater Resources Research, 1993
- An experimental investigation of the dynamic contact angle in liquid-liquid systemsJournal of Colloid and Interface Science, 1991
- Harmonic generation as a probe of dissipation at a moving contact linePhysical Review Letters, 1990
- Wetting: statics and dynamicsReviews of Modern Physics, 1985