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