1

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

2

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

?

3

Experimentalsetup

Syringe-pump

VbubbleSDSatCMC

High-speedcamera

Oscilloscope

4

Characteristic timescales

Acoustic Aeroacoustic Hydrodynamic

p+

p-

p+

p-

p+

p-

VTC

AirjetAcousticwaves

Openingtime

5

20 1 0,05

Characteristic timescales

6

Characteristic timescales

Noairjet

Openingtime<Airjettime

7

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

8

Simplemodel

ü DipolesourceÞ Forceappliedtotheairü Signalperiod≈Openingtime

p0+pb

p0

Forceappliedbytheliquidtotheairduring thebursting

DuringtheburstingInitialstate

p0+pb

p0

9

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

10

FilmthicknessForcedbursting

nm

Taylor-Culick velocityintermofposition

11

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

14

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

8

Experiment

• Mobile dipole source• Sourceposition≈liquid rim position

Acoustic centertracking

Temps

Testcase

Camerameasurement

16

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