Corner-transport-upwind lattice Boltzmann model for bubble cavitation
V Sofonea1, T Biciuşcă1,2, S Busuioc1,2
1Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, 300223 Timişoara, Romania.
Physical Review. E
|March 18, 2018
Summary
This study introduces a lattice Boltzmann model to simulate bubble cavitation in liquids. The model accurately captures bubble behavior in both quiescent and sheared fluids, revealing new insights into bubble dynamics under stress.
Area of Science:
- Fluid Dynamics
- Computational Physics
- Nonlinear Dynamics
Background:
- Bubble cavitation is a complex phenomenon with implications in various scientific and engineering fields.
- Understanding bubble behavior in nonideal fluids requires advanced modeling techniques.
- Existing models may not fully capture the dynamics of bubble cavitation in sheared liquids.
Purpose of the Study:
- To introduce and validate a third-order isothermal lattice Boltzmann model for simulating bubble cavitation.
- To investigate bubble dynamics in quiescent and sheared liquids.
- To analyze the relationship between bubble deformation and shear rate.
Main Methods:
- Developed a 2D lattice Boltzmann model based on the van der Waals equation of state.
- Employed a corner-transport-upwind (CTU) numerical scheme on large square lattices.
- Validated the model against the 2D Rayleigh-Plesset equation for quiescent liquids.
Main Results:
- The second-order CTU scheme accurately reproduced the nonideal fluid phase diagram.
- Simulations in quiescent liquids matched the Rayleigh-Plesset equation.
- Investigated bubble area, deformation, and tilt angle in sheared liquids, finding a linear relationship between deformation and capillary number at low values.
Conclusions:
- The developed lattice Boltzmann model is a robust tool for studying bubble cavitation.
- The study provides new quantitative data on bubble deformation in sheared nonideal fluids.
- A distinct linear regime of bubble deformation was identified for capillary numbers above 0.2.
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