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This study reveals that increased excitation pressure amplitude amplifies nonlinear bubble cloud dynamics, leading to higher wall pressure loads. Resonance frequency significantly impacts collective bubble behavior and pressure peaks.

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Area of Science:

  • Fluid dynamics
  • Acoustics
  • Multiphase flow

Background:

  • Bubble clouds near rigid boundaries are common in various applications.
  • Understanding their dynamics is crucial for predicting forces and acoustic loads.
  • Existing models often simplify bubble interactions and nonlinear effects.

Purpose of the Study:

  • To investigate the dynamics of a bubble cloud under sinusoidal pressure excitation near a rigid wall.
  • To analyze the influence of excitation parameters and bubble characteristics on collective behavior and wall pressure.
  • To explore nonlinear effects and resonance phenomena in bubble cloud dynamics.

Main Methods:

  • Development and application of a novel Eulerian/Lagrangian two-phase flow model.
  • Numerical simulation of bubble cloud behavior under varying sinusoidal pressure fields.
  • Systematic investigation of parameters: excitation amplitude/frequency, bubble size, void fraction, standoff distance.

Main Results:

  • Nonlinear bubble cloud dynamics and wall pressure loads increase with excitation pressure amplitude.
  • A preferred resonance frequency drives the strongest collective bubble behavior.
  • At resonance, pressure peaks can exceed excitation pressure by orders of magnitude due to bubble interactions.
  • Numerically obtained resonance frequency differs from linear theory predictions.
  • Resonance frequency decreases with increasing excitation amplitude relative to ambient pressure at high amplitudes.

Conclusions:

  • Nonlinear effects significantly alter bubble cloud dynamics and pressure loads near walls.
  • Resonance phenomena play a critical role, leading to amplified pressure peaks.
  • The developed model captures complex bubble cloud interactions not described by linear acoustics.