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Lattice Boltzmann model for ternary fluids with solid particles.

Qiang He1, Yongjian Li1, Weifeng Huang1

  • 1Department of Mechanical Engineering, Tsinghua University, Beijing 10084, China.

Physical Review. E
|April 16, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a lattice Boltzmann model for simulating ternary fluid systems with solids. The model accurately captures fluid-solid interactions and capillary forces at contact lines, validated by analytical solutions.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling
  • Phase-field theory

Background:

  • Simulating complex fluid systems with multiple phases and solid interactions is computationally challenging.
  • Accurate modeling of fluid-solid interfaces, wetting phenomena, and capillary forces is crucial for understanding multiphase flow dynamics.

Purpose of the Study:

  • To develop a robust lattice Boltzmann model for ternary fluid systems incorporating solid phases.
  • To accurately describe fluid-solid interactions and capillary forces at ternary fluid-solid contact lines.
  • To provide a versatile computational tool for problems with high density and viscosity contrasts.

Main Methods:

  • Development of a lattice Boltzmann model based on phase-field theory.
  • Implementation of a modified bounce-back method for fluid-solid interactions.
  • Derivation and implementation of a wetting boundary condition for three-phase flows, including on curved boundaries.
  • Application of a diffuse interface method to compute capillary forces at ternary fluid-solid contact lines.

Main Results:

  • The developed model successfully simulates ternary fluids containing solid phases.
  • The modified bounce-back scheme and wetting boundary condition were validated against analytical solutions.
  • The capillary force model demonstrated accuracy in computing forces at fluid-solid contact lines.
  • Numerical results from test cases showed excellent agreement with analytical solutions.

Conclusions:

  • The proposed lattice Boltzmann model provides an accurate and stable method for simulating complex ternary fluid systems with solid interactions.
  • The model's ability to handle high density and viscosity contrasts, along with accurate capillary force computation, makes it suitable for various scientific and engineering applications.
  • The validated numerical schemes ensure reliability for both two- and three-dimensional simulations.