Interacting Lattice Gas Automaton Study of Liquid-Gas Properties in Porous Media
Résumé
We describe how lattice-gas cellular automata may be used to simulate evaporation phenomena in models of porous media constructed at the pore scale. Two-dimensional simulations of evaporation are performed in simple channel geometries and in a model of a microscopically disordered porous medium. We describe a variant of the lattice pas, called the liquid-gas model. By static and dynamic tests we show that this model can simulate low Reynolds number mechanical and thermodynamical equations for isothermal evaporation in a real system made of a single-species liquid in equilibrium with its vapor. From static simulations in simple geometries we obtain equilibrium pressures on both sides of meniscus. These are seen to obey the Gibbs-Thomson relations, which are equivalent to the Kelvin effect. We observe evaporation in simple capillary channels and compare the results to a simple theory based on Poiseuille flow. An unexpected effect is additional flow in the wetting films and sharp density jumps. In simulations of evaporation in disordered geometries, we observe bursting and convoluted interaces as previously reported in laboratory experiments.
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