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1
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2
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- 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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3
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- Spherical Symmetry + Conservation of Mass:
- Conservation of Momentum
- Rayleigh Plesset Equation (when linear relationship stress-strain)
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4
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- Driving Pressure
- Bubble Radius
- RP Equation degenerates to:
- ̃
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5
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6
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7
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8
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- 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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9
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10
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11
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12
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13
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14
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15
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16
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17
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18
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19
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20
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21
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