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Lattice-Boltzmann model based on field mediators for immiscible fluids.

L O E Santos1, P C Facin, P C Philippi

  • 1Mechanical Engineering Department, Federal University of Santa Catarina, 88040-900 Florianópolis, Santa Catarina, Brazil. emerich@lmpt.ufsc.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
Summary

A new lattice Bhatnagar-Gross-Krook model simulates immiscible fluids by decoupling collision operators. This model accurately predicts interfacial tension using nonequilibrium solutions, advancing fluid dynamics research.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling
  • Statistical physics

Background:

  • Simulating immiscible fluids requires accurate models for interfacial phenomena.
  • Existing lattice Boltzmann methods face challenges in capturing interfacial dynamics and tension.
  • The concept of field mediators offers a potential avenue for improved fluid interaction modeling.

Purpose of the Study:

  • To propose a novel lattice Bhatnagar-Gross-Krook (BGK) model for immiscible fluids.
  • To extend the field mediator concept to lattice-Boltzmann equations for particle-mediator interactions.
  • To accurately predict interfacial tension and dynamical interface behavior.

Main Methods:

  • Decoupled collision operator in the lattice BGK model, considering mutual and cross-collisions.

Related Experiment Videos

  • Extension of the field mediator concept to model interference between mediators and particles.
  • Chapman-Enskog analysis for macroscopic equations and transition layer thickness prediction.
  • Nonequilibrium solution approach for accurate interfacial tension retrieval.

    • Main Results:

    • The proposed model incorporates species diffusivity and fluid viscosity through three independent parameters.
    • Chapman-Enskog analysis provided theoretical predictions for macroscopic equations and transition layer thickness.
    • Accurate prediction of interfacial tension was achieved using a nonequilibrium solution, outperforming equilibrium analysis.
    • Model validation through comparison with simulation results, demonstrating ability to describe interface dynamics and Galilean invariance.

    Conclusions:

    • The developed lattice BGK model effectively simulates immiscible fluids.
    • The nonequilibrium approach is crucial for accurately capturing interfacial tension.
    • The model shows promise for describing complex interfacial phenomena in fluid dynamics.