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Three-dimensional lattice Boltzmann model for immiscible two-phase flow simulations.

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This study introduces an advanced lattice Boltzmann model for simulating immiscible fluids. The model accurately predicts interfacial tension and droplet behavior, crucial for fluid dynamics research.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling
  • Thermodynamics

Background:

  • Lattice Boltzmann methods are widely used for simulating fluid dynamics.
  • Modeling immiscible binary fluids with variable properties presents significant challenges.
  • Accurate representation of interfacial tension and phase segregation is critical for reliable simulations.

Purpose of the Study:

  • To develop an improved three-dimensional 19-velocity lattice Boltzmann model for immiscible binary fluids.
  • To accurately capture variable viscosity and density ratios in fluid simulations.
  • To validate the model against established physical laws and experimental data.

Main Methods:

  • A novel perturbation step to generate interfacial tension.
  • A recoloring step for phase segregation and surface maintenance.
  • Derivation of a generalized perturbation operator based on continuum surface force and conservation laws.

Main Results:

  • The model accurately predicts interfacial tension for density ratios up to 1000, validated by Laplace law.
  • Simulations of droplet deformation and breakup in shear flow show excellent agreement with theoretical relations.
  • Numerical results for rising bubbles under buoyancy align well with theoretical and experimental data.

Conclusions:

  • The developed lattice Boltzmann model offers a robust and accurate approach for simulating complex multiphase fluid systems.
  • The model's ability to handle variable fluid properties and interfacial phenomena is demonstrated.
  • This work contributes to advancing computational methods in fluid dynamics research.