Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-18T14:14:36.527Z Has data issue: false hasContentIssue false
  • English
  • Français

Interaction between two laser-induced cavitation bubbles in a quasi-two-dimensional geometry

Published online by Cambridge University Press:  25 August 2009

PEDRO A. QUINTO-SU  and
CLAUS-DIETER OHL
PEDRO A. QUINTO-SU
Affiliation:
School of Physical and Mathematical Sciences, Division of Physics and Applied Physics, Nanyang Technological University, 21 Nanyang Link, Singapore 637371
CLAUS-DIETER OHL*
Affiliation:
School of Physical and Mathematical Sciences, Division of Physics and Applied Physics, Nanyang Technological University, 21 Nanyang Link, Singapore 637371
*
†Email address for correspondence: cdohl@ntu.edu.sg
Get access Rights & Permissions [Opens in a new window]

Abstract

We report on experimental and numerical studies of pairs of cavitation bubbles growing and collapsing close to each other in a narrow gap. The bubbles are generated with a pulsed and focused laser in a liquid-filled gap of 15 μm height; during their lifetime which is shorter than 14 μs they expand to a maximum radius of up to Rmax = 38 μm. Their motion is recorded with high-speed photography at up to 500000 frames s−1. The separation at which equally sized bubbles are created, d, is varied from d = 46–140 μm which results into a non-dimensional stand-off distance, γ = d/(2Rmax), from 0.65 to 2. For large separation the bubbles shrink almost radially symmetric; for smaller separation the bubbles repulse each other during expansion and during collapse move towards each other. At closer distances we find a flattening of the proximal bubbles walls. Interestingly, due to the short lifetime of the bubbles (≤14 μs), the radial and centroidal motion can be modelled successfully with a two-dimensional potential flow ansatz, i.e. neglecting viscosity. We derive the equations for arbitrary configurations of two-dimensional bubbles. The good agreement between model and experiments supports that the fluid dynamics is essentially a potential flow for the experimental conditions of this study. The interaction force (secondary Bjerknes force) is long ranged dropping off only with 1/d as compared to previously studied three-dimensional geometries where the force is proportional to 1/d2.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 633 , 25 August 2009 , pp. 425 - 435
Copyright
Copyright © Cambridge University Press 2009

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

Basset, A. B. 1887 On the motion of two spheres in a liquid. Proc. Lond. Math. Soc. 18, 369–378.Google Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.Google Scholar
Bergmann, R., van der Meer, D., Stijnman, M., Sandtke, M., Prosperetti, A. & Lohse, D. 2006 Giant bubble pinch-off. Phys. Rev. Lett. 96, 154505.CrossRefGoogle ScholarPubMed
Bjerknes, C. A. 1915 Hydrodynamische Fernkraft. Engelmann.Google Scholar
Bjerknes, V. F. K. 1906 Fields of Force. Columbia University Press.Google Scholar
Bremond, N., Arora, M., Dammer, S. M. & Lohse, D. 2006 a Interaction of cavitation bubbles on a wall. Phys. Fluids 18, 121505.CrossRefGoogle Scholar
Bremond, N., Arora, M., Ohl, C. D. & Lohse, D. 2006 b Controlled multibubble surface cavitation. Phys. Rev. Lett. 18, 121505.Google Scholar
Crowdy, D. G., Surana, A. & Yick, K.-Y. 2007 The irrotational flow generated by two planar stirrers in inviscid fluid. Phys. Fluids 19, 018103.CrossRefGoogle Scholar
Crum, L. A. 1975 Bjerknes forces on bubbles in a stationary sound field. J. Acoust. Soc. Am. 57, 1363–1370.CrossRefGoogle Scholar
Dear, J. P., Field, J. E. & Walton, A. J. 1988 Gas compression and jet formation in cavities collapsed by a shock wave. Nature 332, 505–508.CrossRefGoogle Scholar
Doinikov, A. 2004 Mathematical model for collective bubble dynamics in strong ultrasound fields. J. Acoust. Soc. Am. 116, 821–827.CrossRefGoogle Scholar
Harkin, A., Kaper, T. J. & Nadim, A. 2001 Coupled pulsation and translation of two gas bubbles in a liquid. J. Fluid Mech. 445, 377–411.CrossRefGoogle Scholar
Hilgenfeldt, S., Brenner, M. P., Grossmann, S. & Lohse, D. 1998 Analysis of Rayleigh–Plesset dynamics for sonoluminescing bubbles. J. Fluid Mech. 365, 171–204.CrossRefGoogle Scholar
Illinskii, Y. A., Hamilton, M. F. & Zabotskaya, E. A. 2007 Bubble interaction dynamics in Lagrangian and Hamiltonian mechanics. J. Acoust. Soc. Am. 121, 786–795.CrossRefGoogle Scholar
Lamb, H. 1932 Hydrodynamics, 6th edition. Cambridge University Press.Google Scholar
Leighton, T. G. 1994 The Acoustic Bubble. Academic Press.Google Scholar
Lohse, D., Bergmann, R., Mikkelsen, R., Zeilstra, C., van der Meer, D., Versluis, M., van der Weele, K., van der Hoef, M. & Kuipers, H. 2004 Impact on soft sand: void collapse and jet formation. Phys. Rev. Lett. 93, 198003.CrossRefGoogle ScholarPubMed
Luther, S., Mettin, R. & Lauterborn, W. 2000 Modeling acoustic cavitation by a Lagrangian approach. In Nonlinear Acoustics at the Turn of the Milenium, ISNA 15th International Symposium on Nonlinear Acoustics (ed. Lauterborn, W. & Kurz, T.), International Symposia on Nonlinear Acoustics, vol. 524, pp. 351–354. AIP.Google Scholar
Nair, S. & Kanso, E. 2007 Hydrodynamically-coupled rigid bodies. J. Fluid Mech. 592, 393–411.CrossRefGoogle Scholar
Naudé, C. F. & Ellis, A. T. 1961 On the mechanism of cavitation damage by non hemispherical cavities collapsing in contact with a solid boundary. Trans. ASME D.: J. Basic Engng 83, 648–656.CrossRefGoogle Scholar
Oguz, H. N. & Prosperetti, A. 1993 Dynamics of bubble growth and detachment from a needle. J. Fluid. Mech. 257, 111–145.CrossRefGoogle Scholar
Quinto-Su, P. A., Venugopalan, V. & Ohl, C. D. 2008 Generation of laser-induced cavitation bubbles with a digital hologram. Opt. Exp. 16, 18964–18969.CrossRefGoogle ScholarPubMed
Rayleigh, L. 1917 On the pressure developed in a liquid during the collapse of a spherical cavity. Phil. Mag. 34, 94–98.CrossRefGoogle Scholar
Wang, Q. X. 2004 Interaction of two circular cylinders in inviscid fluid. Phys. Fluids 16, 4412–4425.CrossRefGoogle Scholar
Zwaan, E., Gac, S.Le Tsuji, K. & Ohl, C. D. 2007 Controlled cavitation in microfluidic systems. Phys. Rev. Lett. 98, 254501.CrossRefGoogle ScholarPubMed
Supplementary material: PDF

Quinto-Su supplementay material

Appendix

Download Quinto-Su supplementay material(PDF)
PDF 76.3 KB