Lattice-gas model based on field mediators for immiscible fluids.
A Boolean lattice-gas model based on field mediators is proposed for simulating the flow of immiscible fluids. The field mediators introduced here simulate long-range action, enabling the use of local rules in separation step and, by avoiding the optimization step, reduce computer processing time with respect to previous models. In addition, field strength and interaction distance is modeled by introducing distinct emission P(e) and extinction P(a) probabilities, for field mediators, enabling us to control interfacial tension and transition thickness. The model's microdynamics is fully described and macroscopic parameters are related to model's parameters after a Chapman-Enskog asymptotic expansion for the ensemble-average distributions. Simulation results are presented for several sample case studies, including the verification of Laplace's law, coalescence phenomenon, interaction of a pair of wetting and nonwetting fluids with solid surfaces, and droplet formation under the action of gravity. These results are compared with available data.
dos Santos
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LO
LMPT, Mechanical Engineering Department, Federal University of Santa Catarina, Caixa Postal 476 Florianopolis, Santa Catarina 88040-900, Brazil.
Philippi
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PC