Notes
Slide Show
Outline
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The ABS
Acoustic Bubble Spectrometer̉
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Background
  • Bubbles in a liquid are very sensitive to acoustic waves
  • Bubble acoustic cross section >10 times solid particle of the same size


  • Bubbles much more compressible than liquid
  • Bubbles act like a spring-mass oscillating system
      • Mass from liquid inertia
      • Spring constant from permanent gas, …etc


  • Possibility for strong resonance
  • ̃ acoustic energy absorption, re-radiation



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Spherical Bubble Dynamic Equation
  • Spherical Symmetry + Conservation of Mass:




  • Conservation of Momentum




  • Rayleigh Plesset Equation (when linear relationship stress-strain)


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Small scale oscillations
  • Driving Pressure
  • Bubble Radius
  • RP Equation degenerates to:






  • ̃
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Resonance
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Influence of Bubble Distribution
on Sound Propagation
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Dispersion Relations
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The ABS
  • The ABS Acoustic Bubble Spectrometer̉ is an acoustics based device that measures bubble size distributions in liquids.
    • Very sensitive to bubbles
    • No need for transparent liquid or “container”
    • Easy to Use
    • Packaged User-Friendly System
    • Near Real-Time measurement
    • Could be part of:
      • an on-line system
      • a distributive placement for large scale applications
      • a long-term continuous monitoring application
      • an off-line post-measurement analysis

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POTENTIAL APPLICATIONS
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PC-BASED ABS̉ SETUP
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User Input - I
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User Input - II
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User Input - III
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User Input - IV
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Output -I
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Output -II
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Recent Validation Experiments
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Bubble Injector
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Illustration of the degree of variation
in the bubble size distribution measurements
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VALIDATION
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CONCLUSIONS