Wetting boundaries for ternary high density ratio Lattice Boltzmann Method
arXiv:1904.06881 · doi:10.1103/PhysRevE.100.013308
Abstract
We extend a recently proposed ternary free energy lattice Boltzmann model with high density contrast, by incorporating wetting boundaries at solid walls. The approaches are based on forcing and geometric schemes, with implementations optimised for ternary (and more generally higher order multicomponent) models. Advantages and disadvantages of each method are addressed by performing both static and dynamic tests, including the capillary filling dynamics of a liquid displacing the gas phase, and the self-propelled motion of a train of drops. Furthermore, we measure dynamic angles and show that the slip length critically depends on the equilibrium value of the contact angles, and whether it belongs to liquid-liquid or liquid-gas interfaces. These results validate the model capabilities of simulating complex ternary fluid dynamic problems near solid boundaries, for example drop impact solid substrates covered by a lubricant layer.
arXiv comment15 pages, 13 figures
References in corpus (12)
- Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part I. Theoretical Foundation
- Symmetry-breaking in drop bouncing on curved surfaces
- Minimal entropic kinetic models for simulating hydrodynamics
- Modelling contact angle hysteresis on chemically patterned and superhydrophobic surfaces
- Ternary Free Energy Lattice Boltzmann Model with Tunable Surface Tensions and Contact Angles
- Drop dynamics on chemically patterned surfaces
- Ternary free-energy entropic lattice Boltzmann model with high density ratio
- Drops bouncing off macro-textured superhydrophobic surfaces
- Sliding drops across alternating hydrophobic and hydrophilic stripes
- Numerical Study of Drop Motion on a Surface with Wettability Gradient and Contact Angle Hysteresis
- Moving contact line dynamics: from diffuse to sharp interfaces
- Lattice Boltzmann simulation of mixtures with multicomponent van der Waals equation of state