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Pseudo-turbulence in two-dimensional buoyancy-driven bubbly flows: A DNS study.

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This study uses direct numerical simulation to analyze bubbly flows, finding the Galilei number dictates energy spectrum scaling and reveals an inverse energy cascade at high values. Bubble properties do not affect this scaling.

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Area of Science:

  • Fluid Dynamics
  • Multiphase Flow
  • Computational Physics

Background:

  • Buoyancy-driven bubbly flows are prevalent in various natural and industrial processes.
  • Understanding the spectral properties of these flows is crucial for predicting their behavior.
  • Previous studies often lack detailed spectral analysis of energy transfer mechanisms.

Purpose of the Study:

  • To investigate the spectral properties of two-dimensional buoyancy-driven bubbly flows using direct numerical simulation.
  • To derive and analyze the scale-by-scale energy budget equation.
  • To determine the influence of the Galilei number and bubble characteristics on flow scaling.

Main Methods:

  • Direct Numerical Simulation (DNS) was employed to model the flow dynamics.
  • The Volume of Fluid (VOF) method was utilized for accurate interface tracking of bubbles.
  • Scale-by-scale energy budget analysis was performed to examine spectral characteristics.

Main Results:

  • The Galilei number (Ga) was identified as the key parameter controlling different scaling regimes in the energy spectrum.
  • An inverse energy cascade was observed in the energy spectrum at high Galilei numbers.
  • The density ratio and bubble coalescence were found to have no significant impact on the observed scaling behavior.

Conclusions:

  • The study successfully elucidates the spectral dynamics of buoyancy-driven bubbly flows.
  • The findings highlight the critical role of the Galilei number in dictating energy transfer and scaling.
  • The robustness of the scaling behavior against variations in bubble properties offers valuable insights for modeling.