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AdrienBussonnière1,2A.Antkowiak1,M.Baudouin2,F.Ollivier1,R.Wunenburger1
E.Blanc&V.Bertin
1- InstitutJeanLeRondd’Alembert– UniversitéPierreetMarieCurie– Paris6- UPMC-CNRS– UMR71902- Institutd’Electronique,deMicroélectroniqueetdeNanotechnologie,UMR8520CNRS- UniversitéLille1/EcoleCentraledeLille
Thebubbleburstingacousticsignature
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Introduction
Vidaletal. [1]
[1]V.Vidaletal.,Dynamicsofsoapbubbleburstinganditsimplicationstovolcanoacoustics,Geophys.Res.Lett.,2010,37[2]V.Vidaletal.,Acousticwaveformofcontinuousbubblinginanon-Newtonianfluid,PRE,2009,80[3]G.Deane,Determiningthebubblecapfilmthicknessofburstingbubblesfromtheiracousticemissions,JASA,2013,133[4]D.Spiel,AcousticalMeasurementsofAirBubblesBurstingataWaterSurface:BurstingBubblesasHelmholtzResonators,J.Geophys.Res.,
1992,97
p (P
a)p
(Pa)
Vidaletal. [2]
Deane[3]
Spiel[4]
Helmholtzresonator
?
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Experimentalsetup
Syringe-pump
VbubbleSDSatCMC
High-speedcamera
Oscilloscope
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Characteristic timescales
Acoustic Aeroacoustic Hydrodynamic
p+
p-
p+
p-
p+
p-
VTC
AirjetAcousticwaves
Openingtime
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20 1 0,05
Characteristic timescales
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Characteristic timescales
Noairjet
Openingtime<Airjettime
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t (ms)0 1 2 3 4 5 6 7
p (P
a)-0.2
-0.1
0
0.1
0.2
t (ms)0 1 2 3 4 5 6 7
p (P
a)-0.2
-0.1
0
0.1
0.2
t (ms)0 1 2 3 4 5 6 7
p (P
a)-0.2
-0.1
0
0.1
0.2
t (ms)0 1 2 3 4 5 6 7
p (P
a)-0.2
-0.1
0
0.1
0.2
t (ms)0 1 2 3 4 5 6 7
p (P
a)-0.2
-0.1
0
0.1
0.2
t (ms)0 1 2 3 4 5 6 7
p (P
a)-0.2
-0.1
0
0.1
0.2
t (ms)0 1 2 3 4 5 6 7
p (P
a)
-0.2
-0.1
0
0.1
0.2
t (ms)0 1 2 3 4 5 6 7
p (P
a)-0.2
-0.1
0
0.1
0.2
SounddirectivityMicrophonearray
Axisymmetrichypothesis
Dipolesource
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Simplemodel
ü DipolesourceÞ Forceappliedtotheairü Signalperiod≈Openingtime
p0+pb
p0
Forceappliedbytheliquidtotheairduring thebursting
DuringtheburstingInitialstate
p0+pb
p0
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SimplemodelRadiationoftheforcesource
Farfield Near field
t (ms)0 0.5 1 1.5 2 2.5 3 3.5 4
p (P
a)
-0.5
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
V=2mLr=30mmVTC =Cste
• Agreementontheamplitude• Waveformindisagreement
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FilmthicknessForcedbursting
nm
Taylor-Culick velocityintermofposition
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Filmthickness
t (ms)0 0.5 1 1.5 2 2.5 3 3.5 4
p (P
a)
-0.5
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
• Betteragreement inthewaveform• Non-symmetricsignals
Forcedbursting
t (ms)0 1 2 3 4 5
p (P
a)
-0.5
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
Spontaneousbursting
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Fouriertransform
Projection
Reconstruction
InverseFouriertransform
Nous ne
Nous ne
Nous ne pouvons pas afficher cette image pour l’instant.
Spherical harmonic decomposition
Axisymmetricassumption
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Nous ne pouvons pas afficher cette image pour l’instant.
Z=- 6mm
Nous ne pouvons pas afficher cette image pour l’instant.
Spherical harmonic decomposition
SignalMonopoleDipoleQuadripole
Z=0mm
Z=+6mm
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t (s) ×10-32 2.5 3 3.5 4
p (P
a)
-0.05
0
0.05
0.1
0.15
0.2
t (s) ×10-32 2.5 3 3.5 4
p (P
a)
-0.05
0
0.05
0.1
0.15
0.2
t (s) ×10-32 2.5 3 3.5 4
p (P
a)
-0.05
0
0.05
0.1
0.15
0.2
Quadrupole criteria Instantaneousacousticcenteraltitude
Spherical harmonic decompositionTestcase:movingdipole
• Quadripole vanishes Þ Dipole =Signal
Z=- 6mm Z=0mm Z=+6mm
SignalMonopoleDipoleQuadripole Þ
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t (s) ×10-30 0.5 1 1.5 2
Z ac (m
)
×10-3
-6
-4
-2
0
2
4
6
t (s) ×10-30 0.5 1 1.5 2 2.5 3 3.5
Z ac (m
)
×10-3
-4
-2
0
2
4
6
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Experiment
• Mobile dipole source• Sourceposition≈liquid rim position
Acoustic centertracking
Temps
Testcase
Camerameasurement
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Finite sizesourcemodel
Simplemodel:
Integrationoftheforceovertime
Radiationoftheforce
Radiationofinfinitesimal forces
Integrationofradiationsovertime
Finitesizesourcemodel:
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Finite sizesourcemodel
Forcedbursting Spontaneousbursting
t (ms)0 1 2 3 4 5
p (P
a)
-0.5
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
t (ms)0 0.5 1 1.5 2 2.5 3 3.5 4
p (P
a)
-0.5
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
• Excellentagreementonthetopsignal• Stillsomediscrepanciesonthebottomsignal
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Conclusion
• Understandingandmodelingofthe“blast-type”wave
Discrepancyontherimdynamic
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Perspectives
• Measurement ofhydrodynamicquantities
• Extensionofthismeasurementstrategytootherphenomenon• Bubblecoalescence• Foamageing
• Amplitude=>bubbleradiusandsurfacetension• Phase=>VTC =>Thicknessprofile
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Thanks foryour attention