The ABS The ABS Acoustic Bubble Spectrometer Acoustic Bubble Spectrometer by G. L. Chahine D YNAFLOW , I NC . Jessup, MD www.dynaflow-inc.com Email: glchahine@dynaflow-inc.com www.dynaflow-inc.com
Background 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 www.dynaflow-inc.com
Spherical Bubble Dynamic Spherical Bubble Dynamic Equation Equation u r R r Spherical Symmetry + Conservation of Mass: 2 2 R(t) r P g u R R r / P v Conservation of Momentum 3 k 3 k P R P R g g 0 0 du 1 dp r u r r dt dr Rayleigh Plesset Equation (when linear relationship stress-strain) 3 k R 3 R 2 2 o RR R 4 P P P go v 2 R R R www.dynaflow-inc.com
Small scale oscillations Small scale oscillations P P 0 1 cos t Driving Pressure R R a t ( ) Bubble Radius 0 RP Equation degenerates to: 2 P a a cos t 0 1 3 kP 1 3 kP (3 k 1)2 / R 0 0 0 0 0 R R 0 0 f a ( , ) 0 www.dynaflow-inc.com
Resonance Resonance www.dynaflow-inc.com
Influence of Bubble Distribution Influence of Bubble Distribution on Sound Propagation on Sound Propagation • The ABS does not use the simple relationships showed above. • It considers sound propagation in a bubble medium • Sound Speed Change/Dispersion Pure Liquid Dispersion Sound Speed Relation 2-Phase Medium Sound Speed • Attenuation/Damping Distance Between Hydrophones www.dynaflow-inc.com
Dispersion Relations Dispersion Relations Resonance Radii www.dynaflow-inc.com
The ABS The ABS The ABS Acoustic Bubble Spectrometer 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 www.dynaflow-inc.com
POTENTIAL APPLICATIONS POTENTIAL APPLICATIONS Oceanography: Bubble Populations for Acoustic Background Measurements, Aeration, Mixing,…. Laboratory & Industrial Two-Phase Flows Cavitation Susceptibility Water/Cavitation Tunnels in which Underlying Nuclei Population Should be Known/Controlled Biomedical Devices – Bubbles in Blood, etc. Measurement of Effectiveness of Aeration Devices Bubbles/voids and Gas/Air Content of “Engineered” Specialty Fluids Bubble Clouds Used for Acoustic Signature Control Boiling – High vapor content www.dynaflow-inc.com
PC-BASED ABS SETUP PC Tested Liquid with USER INPUTS: Bubbles Operation • Properties Control • Frequencies Signal • Amplitude Generation AMPLIFIER • Sample Rate & • Processing FILTER Options GUI Transmitting Receiving • ………… Hydrophone Hydrophone ABS OUTPUT Data Acquisition Raw Signals Signal u, v Processing Bubble Size Inverse Distribution Method OSCILLOSCOPE Bubble Model (if desired for Algorithm checking) www.dynaflow-inc.com
User Input - - I I User Input www.dynaflow-inc.com
User Input - - II II User Input www.dynaflow-inc.com
User Input - - III III User Input www.dynaflow-inc.com
User Input - - IV IV User Input www.dynaflow-inc.com
Output - -I I Output RAW SIGNALS DISPLAY SENT (EMITTED) RECEIVED www.dynaflow-inc.com
Output - -II II Output Screen shot of the ABS graphical user interface showing the sound speed ratio, u, the attenuation ratio, v, and the resulting bubble size distribution www.dynaflow-inc.com
Recent Validation Experiments Air/Water Mixing Tank Air Injection Transducers Microporous Tube Water shear Transducers Test High Section Transducer Speed ABS Video Pump Camera Photograph of the test section . Sketch of experimental setup www.dynaflow-inc.com
Bubble Injector Injector in operation Close up view www.dynaflow-inc.com
Illustration of the degree of variation in the bubble size distribution measurements ABS 80%waterFlow 30% Air ABS 80%waterFlow 30% Air 14 14 Test 1 Test 1 12 12 3 3 Test 2 Test 2 N u m b e r p e r c m 10 N u m b e r p e r c m 10 Test 3 Test 3 8 8 Test 4 Test 4 6 6 4 4 2 2 0 0 14 15 25 35 45 55 64 74 84 94 104 114 124 134 14 15 25 35 45 55 64 74 84 94 104 114 124 134 Bubble Radius, � m Bubble Radius, � m ABS: one set of Micro video photography: 55 measurements each time frames per measurement www.dynaflow-inc.com
VALIDATION VALIDATION 7 6 ABS Average 6 tests Number per cm 3 5 Photos Average 132 frames 4 3 2 1 0 14 25 45 64 84 104 124 144 163 Bubble Radius, � m Comparison between ABS measurements and micro video photography www.dynaflow-inc.com
CONCLUSIONS CONCLUSIONS • ABS Acoustic Bubble Spectrometer • Near real time measurement of bubble size distributions • Flexibility of measuring volume size • No need for optical transparency • ABS measurements in Newtonian fluids validated in controlled experiments with microphotography • ABS and microphotography experiments found to have comparable scatter and give very close results www.dynaflow-inc.com
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