Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-10T11:30:39.384Z Has data issue: false hasContentIssue false

Nonspherical dynamics and microstreaming of a wall-attached microbubble

Published online by Cambridge University Press:  31 January 2022

M. Fauconnier*
Affiliation:
Univ Lyon, Université Lyon 1, Centre Léon Bérard, INSERM, LabTAU, F-69003 Lyon, France
C. Mauger
Affiliation:
Univ Lyon, INSA Lyon, CNRS, ECL, UCBL, LMFA, 69621 Villeurbanne, France
J.-C. Béra
Affiliation:
Univ Lyon, Université Lyon 1, Centre Léon Bérard, INSERM, LabTAU, F-69003 Lyon, France
C. Inserra*
Affiliation:
Univ Lyon, Université Lyon 1, Centre Léon Bérard, INSERM, LabTAU, F-69003 Lyon, France
*
Email addresses for correspondence: maxime.fauconnier@hotmail.fr, claude.inserra@inserm.fr
Email addresses for correspondence: maxime.fauconnier@hotmail.fr, claude.inserra@inserm.fr

Abstract

Acoustic microstreaming is a nonlinear response of a fluid that undergoes high-amplitude acoustic stimulation and tends to viscously absorb it. The present experimental study investigates the generation of acoustic microstreaming induced by an oscillating wall-attached bubble undergoing nonspherical shape modes. From a microscope top view, the formation of particular flow signatures is explored for the main classes of spherical harmonics $Y_{nm}(\theta, \phi )$: zonal ($m = 0 < n$), sectoral ($n = m > 0$) and tesseral ($0 < m < n$) oscillation. The microstreaming induced by a bubble animated by a sectoral mode alone reveals a pattern characterized by a $4n$-lobe flower shape. Tesseral modes give rise to 4m-lobe flower-shaped patterns. Finally, when sectoral and zonal modes coexist, two kinds of pattern stand out: $2n$-lobe flower shape and $n$-pointed star shape. The preferential emergence of one or another streaming pattern is discussed on the basis of the amplitude and phase shift between both shape modes.

Type
JFM Papers
Copyright
© The Author(s), 2022. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Baresch, D. & Garbin, V. 2020 Acoustic trapping of microbubbles in complex environments and controlled payload release. Proc. Natl. Acad. Sci. USA 117, 1549015496.CrossRefGoogle ScholarPubMed
Bolañs-Jimenez, R., Rossi, M., Rivas, D.F., Kähler, C.J. & Marin, A. 2017 Streaming flow by oscillating bubbles: quantitative diagnostics via particle tracking velocimetry. J. Fluid Mech. 820, 529548.CrossRefGoogle Scholar
Brenner, M.P., Lohse, D. & Dupont, T.F. 1995 Bubble shape oscillations and the onset of sonoluminescence. Phys. Rev. Lett. 75, 954957.CrossRefGoogle ScholarPubMed
Chahine, G.L., Kapahi, A., Choi, J.-K. & Hsiao, C.-T. 2016 Modeling of surface cleaning by cavitation bubble dynamics and collapse. Ultrason. Sonochem. 29, 528549.CrossRefGoogle Scholar
Choi, J., Kim, T.-H. & Kim, H.-Y. 2016 Ultrasonic washing of textiles. Ultrason. Sonochem. 29, 563567.CrossRefGoogle ScholarPubMed
Cleve, S., Guédra, M., Mauger, C., Inserra, C. & Blanc-Benon, P. 2019 Microstreaming induced by acoustically trapped, nonspherically oscillating microbubbles. J. Fluid Mech. 875, 597621.CrossRefGoogle Scholar
Collis, J., Manasseh, R., Liovic, P., Tho, P., Ooi, A., Petkovic-Duran, K. & Zhu, Y. 2010 Cavitation microstreaming and stress fields created by microbubbles. Ultrasonics 50, 273279.CrossRefGoogle ScholarPubMed
Davidson, B.J. & Riley, N. 1971 Cavitation microstreaming. J. Sound Vib. 15, 217233.CrossRefGoogle Scholar
Doinikov, A.A. & Bouakaz, A. 2010 Exploration of shear stresses induced by a contrast agent bubble on the cell membrane. In 10ème Congrès Français d'Acoustique 12-16 April 2010, Lyon. SFA.Google Scholar
Doinikov, A.A., Cleve, S., Regnault, G., Mauger, C. & Inserra, C. 2019 a Acoustic microstreaming produced by nonspherical oscillations of a gas bubble. I. Case of modes 0 and m. Phys. Rev. E 100, 033104.CrossRefGoogle Scholar
Doinikov, A.A., Cleve, S., Regnault, G., Mauger, C. & Inserra, C. 2019 b Acoustic microstreaming produced by nonspherical oscillations of a gas bubble. II. Case of modes 1 and m. Phys. Rev. E 100, 033105.CrossRefGoogle ScholarPubMed
Dular, M., et al. 2016 Use of hydrodynamic cavitation in (waste)water treatment. Ultrason. Sonochem. 29, 577588.CrossRefGoogle ScholarPubMed
Elder, S.A. 1959 Cavitation microstreaming. J. Acoust. Soc. Am. 31, 54.CrossRefGoogle Scholar
Faraday, M. 1831 On a peculiar class of acoustical figures, and on certain forms assumed by groups of particles upon vibrating elastic surfaces. Phil. Trans. R. Soc. Lond. 121, 299340.Google Scholar
Fauconnier, M., Béra, J.-C. & Inserra, C. 2020 Nonspherical modes nondegeneracy of a tethered bubble. Phys. Rev. E 102, 033108.CrossRefGoogle ScholarPubMed
Feng, Z.C. & Leal, L.G. 1997 Nonlinear bubble dynamics. Annu. Rev. Fluid Mech. 29, 201243.CrossRefGoogle Scholar
Francescutto, A. & Nabergoj, R. 1978 Pulsation amplitude threshold for surface waves on oscillating bubbles. Acustica 41, 215220.Google Scholar
Gormley, G. & Wu, J. 1998 Observation of acoustic streaming near Albunex (r) spheres. J. Acoust. Soc. Am. 104, 31153118.CrossRefGoogle Scholar
Inserra, C., Regnault, G., Cleve, S., Mauger, C. & Doinikov, A.A. 2020 a Acoustic microstreaming produced by nonspherical oscillations of a gas bubble. III. Case of self-interacting modes n–n. Phys. Rev. E 101, 013111.CrossRefGoogle ScholarPubMed
Inserra, C., Regnault, G., Cleve, S., Mauger, C. & Doinikov, A.A. 2020 b Acoustic microstreaming produced by nonspherical oscillations of a gas bubble. IV. Case of modes n and m. Phys. Rev. E 102, 043103.CrossRefGoogle ScholarPubMed
Kolb, J. & Nyborg, W.L. 1956 Small-scale acoustic streaming in liquids. J. Acoust. Soc. Am. 28, 6.CrossRefGoogle Scholar
Lamb, H. 1916 Hydrodynamics. Cambridge University Press.Google Scholar
Longuet-Higgins, M.S. 1998 Viscous streaming from an oscillating spherical bubble. Proc. R. Soc. Lond. A 454, 725742.CrossRefGoogle Scholar
Maksimov, A.O. 2020 Splitting of the surface modes for bubble oscillations near a boundary. Phys. Fluids 32, 102104.CrossRefGoogle Scholar
Marmottant, P. & Hilgenfeldt, S. 2003 Controlled vesicle deformation and lysis by single oscillating bubbles. Nature 423, 153156.CrossRefGoogle ScholarPubMed
Marmottant, P., Versluis, M., de Jong, N., Hilgenfeldt, S. & Lohse, D. 2006 High-speed imaging of an ultrasound-driven bubble in contact with a wall: narcissus effect and resolved acoustic streaming. Exp. Fluids 41, 147153.CrossRefGoogle Scholar
Minnaert, M. 1933 XVI. On musical air-bubbles and the sounds of running water. Lond. Edinb. Dublin Phil. Mag. J. Sci. 16, 235–248.Google Scholar
Noblin, X., Buguin, A. & Brochard-Wyart, F. 2009 Vibrations of sessile drops. Eur. Phys. J. Spec. Top. 166, 710.CrossRefGoogle Scholar
Pommella, A., Brooks, N.J., Seddon, J.M. & Garbin, V. 2015 Selective flow-induced vesicle rupture to sort by membrane mechanical properties. Sci. Rep. 5, 13163.CrossRefGoogle ScholarPubMed
Rayleigh, Lord 1884 On the circulation of air observed in Kundt's tubes, and on some allied acoustical problems. Phil. Trans. R. Soc. Lond. 175, 121.Google Scholar
Reuter, F. & Mettin, R. 2016 Mechanisms of single bubble cleaning. Ultrason. Sonochem. 29, 550562.CrossRefGoogle ScholarPubMed
Schindelin, J., et al. 2012 Fiji: an open-source platform for biological-image analysis. Nat. Meth. 9, 676682.CrossRefGoogle ScholarPubMed
Schneider, C.A., Rasban, W.S. & Eliceiri, K.W. 2012 NIH Image to ImageJ: 25 years of image analysis. Nat. Meth. 9, 671675.CrossRefGoogle ScholarPubMed
Shaw, S.J. 2017 Nonspherical sub-millimeter gas bubble oscillations: parametric forcing and nonlinear shape mode coupling. Phys. Fluids 29, 122103.CrossRefGoogle Scholar
Spelman, T.A. & Lauga, E. 2017 Arbitrary axisymmetric steady streaming: flow, force and propulsion. J. Engng Maths 105, 3165.CrossRefGoogle Scholar
Tho, P., Manasseh, R. & Ooi, A. 2007 Cavitation microstreaming patterns in single and multiple bubble systems. J. Fluid Mech. 576, 191233.CrossRefGoogle Scholar
Tinevez, J.-Y., Perry, N., Schindelin, J., Hoopes, G.M., Reynolds, G.D., Laplantine, E., Bednarek, S.Y., Shorte, S.L. & Eliceiri, K.W. 2017 TrackMate: an open and extensible platform for single-particle tracking. Methods 115, 8090.CrossRefGoogle ScholarPubMed
Tropea, C., Yarin, A.L. & Foss, J.F. 2007 Handbook of Experimental Fluid Mechanics. Springer.Google Scholar
Verhaagen, B. & Rivas, D.F. 2016 Measuring cavitation and its cleaning effect. Ultrason. Sonochem. 29, 619628.CrossRefGoogle ScholarPubMed
Versluis, M. 2010 Microbubble shape oscillations excited through ultrasonic parametric driving. Phys. Rev. E 82, 026321.CrossRefGoogle ScholarPubMed
Yu, H. & Chen, S. 2014 A model to calculate microstreaming-shear stress generated by oscillating microbubbles on the cell membrane in sonoporation. Biomed. Mater. Engng 24, 861868.Google Scholar

Fauconnier et al. supplementary movie 1

High frame rate top-view visualization of the dynamics of a bubble animated by a zonal mode of degree n=4. Recording frame rate: 67065 images/s. Visualization frame rate: 20 images/s.

Download Fauconnier et al. supplementary movie 1(Video)
Video 21.6 MB

Fauconnier et al. supplementary movie 2

Low frame rate top-view visualization of the microstreaming induced by a bubble animated by a zonal mode of degree n=4. Recording frame rate: 2000 images/s. Visualization frame rate: 20 images/s.

Download Fauconnier et al. supplementary movie 2(Video)
Video 24.9 MB

Fauconnier et al. supplementary movie 3

High frame rate top-view visualization of the dynamics of a bubble animated by a sectoral mode of degree n=4. Recording frame rate: 67065 images/s. Visualization frame rate: 20 images/s.

Download Fauconnier et al. supplementary movie 3(Video)
Video 22.2 MB

Fauconnier et al. supplementary movie 4

Low frame rate top-view visualization of the microstreaming induced by a bubble animated by a sectoral mode of degree n=4. Recording frame rate: 2000 images/s. Visualization frame rate: 20 images/s.

Download Fauconnier et al. supplementary movie 4(Video)
Video 26.4 MB

Fauconnier et al. supplementary movie 5

High frame rate top-view visualization of the dynamics of a bubble animated by a tesseral mode of order m=1. Recording frame rate: 67065 images/s. Visualization frame rate: 20 images/s.

Download Fauconnier et al. supplementary movie 5(Video)
Video 22 MB

Fauconnier et al. supplementary movie 6

Low frame rate top-view visualization of the microstreaming induced by a bubble animated by a tesseral mode of order m=1. Recording frame rate: 2000 images/s. Visualization frame rate: 20 images/s.

Download Fauconnier et al. supplementary movie 6(Video)
Video 25.8 MB

Fauconnier et al. supplementary movie 7

High frame rate top-view visualization of the dynamics of a bubble simultaneously animated by a zonal and a sectoral mode of degree n=3. Recording frame rate: 67065 images/s. Visualization frame rate: 20 images/s.

Download Fauconnier et al. supplementary movie 7(Video)
Video 21.7 MB

Fauconnier et al. supplementary movie 8

Low frame rate top-view visualization of the microstreaming induced by a bubble simultaneously animated by a zonal and a sectoral mode of degree n=3. Recording frame rate: 2000 images/s. Visualization frame rate: 20 images/s.

Download Fauconnier et al. supplementary movie 8(Video)
Video 27.3 MB

Fauconnier et al. supplementary movie 9

High frame rate top-view visualization of the dynamics of a bubble simultaneously animated by a zonal and a sectoral mode of degree n=4. Recording frame rate: 67065 images/s. Visualization frame rate: 20 images/s.
Download Fauconnier et al. supplementary movie 9(Video)
Video 21.9 MB

Fauconnier et al. supplementary movie 10

Low frame rate top-view visualization of the microstreaming induced by a bubble simultaneously animated by a zonal and a sectoral mode of degree n=4. Recording frame rate: 2000 images/s. Visualization frame rate: 20 images/s.

Download Fauconnier et al. supplementary movie 10(Video)
Video 25.2 MB