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Lattice Boltzmann model for axisymmetric multiphase flows.

Kannan N Premnath1, John Abraham

  • 1M.J. Zucrow Labs., School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907, USA. nandha@ecn.purdue.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

This study introduces a lattice Boltzmann model for axisymmetric multiphase flows, accurately simulating phenomena like drop formation and collisions using novel source terms.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling
  • Numerical methods

Background:

  • Lattice Boltzmann methods (LBM) are powerful for fluid dynamics.
  • Modeling axisymmetric multiphase flows presents unique challenges.
  • Existing models may lack accuracy or efficiency for these specific geometries.

Purpose of the Study:

  • To develop a novel lattice Boltzmann model for simulating axisymmetric multiphase flows.
  • To incorporate source terms that accurately represent axisymmetric dynamics.
  • To validate the model against known physical phenomena.

Main Methods:

  • A two-dimensional lattice Boltzmann equation was adapted using source terms.
  • Chapman-Enskog multiscale analysis was employed to ensure macroscopic equation recovery.

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  • The model was extended to include reduced compressibility effects.
  • Main Results:

    • The model accurately simulates axisymmetric equilibrium drop formation and oscillations.
    • It successfully models the breakup of viscous liquid jets and satellite droplet formation.
    • Simulations of drop collisions show satisfactory agreement with existing data.

    Conclusions:

    • The developed lattice Boltzmann model is effective for axisymmetric multiphase flows.
    • The incorporated source terms accurately capture essential physical forces.
    • The model provides a reliable tool for studying complex multiphase flow phenomena in cylindrical coordinates.