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Conservative phase-field-based lattice Boltzmann equation for gas-liquid-solid flow.

Lin Zheng1, Song Zheng2, Qinglan Zhai3

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Summary
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A new conservative phase-field lattice Boltzmann equation (LBE) models gas-liquid-solid flows with significant density differences. This method accurately simulates complex interactions, including wettability and fluid-solid forces, validated by diverse test cases.

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Area of Science:

  • Multiphase Flow Dynamics
  • Computational Fluid Dynamics
  • Phase-Field Modeling

Background:

  • Simulating gas-liquid-solid flows with large density contrasts presents significant computational challenges.
  • Accurate modeling of interfaces and fluid-solid interactions is crucial for understanding multiphase phenomena.

Purpose of the Study:

  • To develop a conservative phase-field based lattice Boltzmann equation (LBE) for simulating gas-liquid-solid flows with large density contrasts.
  • To incorporate solid wettability into the phase-field model and accurately capture fluid-solid interactions.

Main Methods:

  • A conservative Allen-Cahn equation (CACE) is used to capture the gas-liquid interface, modified with a source term for wettability.
  • A lattice Boltzmann equation (LBE) solves the modified CACE (MCACE), while another LBE resolves the two-phase flow.
  • The smoothed-profile method (SPM) is employed to calculate fluid-solid interaction forces.

Main Results:

  • The developed MCACE-LBE-SPM successfully simulates gas-liquid-solid flows with large density contrasts.
  • Simulations of droplet spreading, cylinder buoyancy, capillary interactions, and channel flow demonstrate the model's capability.
  • Numerical predictions show good agreement with theoretical and previous numerical results.

Conclusions:

  • The proposed MCACE-LBE-SPM is a robust and accurate method for simulating complex gas-liquid-solid flows.
  • The model effectively handles large density ratios and incorporates solid wettability and fluid-solid interactions.