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Rebounds of deformed cavitation bubbles
Phys. Rev. Fluids 3, 103604 – Published 16 October, 2018
DOI: https://doi.org/10.1103/PhysRevFluids.3.103604
Abstract
Presented here are experiments clarifying how the deformation of cavitation bubbles affects their rebound. Rebound bubbles carry the remaining energy of a bubble following its initial collapse, which dissipates energy mainly through shock waves, jets, and heat. The rebound bubble undergoes its own collapse, generating such violent events anew, which can be even more damaging or effective than at first bubble collapse. However, modeling rebound bubbles is an ongoing challenge because of the lack of knowledge on the exact factors affecting their formation. Here we use single-laser-induced cavitation bubbles and deform them by variable gravity or by a neighboring free surface to quantify the effect of bubble deformation on the rebound bubbles. Within a wide range of deformations, the energy of the rebound bubble follows a logarithmic increase with the bubble's initial dipole deformation, regardless of the origin of this deformation.
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References (55)
- X. Escaler, E. Egusquiza, M. Farhat, F. Avellan, and M. Coussirat, Detection of cavitation in hydraulic turbines, Mech. Syst. Signal Process. 20, 983 (2006).
- W. A. Spraker, The effects of fluid properties on cavitation in centrifugal pumps, J. Eng. Power 87, 309 (1965).
- T. van Terwisga, R. van Wijngaarden, J. Bosschers, and G. Kuiper, Achievements and challenges in cavitation research on ship propellers, Int. Shipbuilding Progr. 54, 165 (2007).
- A. J. Coleman, J. E. Saunders, L. A. Crum, and M. Dyson, Acoustic cavitation generated by an extracorporeal shockwave lithotripter, Ultrasound Med. Biol. 13, 69 (1987).
- T. Ikeda, S. Yoshizawa, T. Masataka, J. S. Allen, S. Takagi, N. Ohta, T. Kitamura, and Y. Matsumoto, Cloud cavitation control for lithotripsy using high intensity focused ultrasound, Ultrasound Med. Biol. 32, 1383 (2006).
- P. Marmottant and S. Hilgenfeldt, A bubble-driven microfluidic transport element for bioengineering, Proc. Natl. Acad. Sci. USA 101, 9523 (2004).
- C. D. Ohl, M. Arora, R. Ikink, N. De Jong, M. Versluis, M. Delius, and D. Lohse, Sonoporation from jetting cavitation bubbles, Biophys. J. 91, 4285 (2006).
- C. E. Brennen, Cavitation in medicine, Interface Focus 5, 20150022 (2015).
- D. Fernandez Rivas, B. Verhaagen, J. R. T. Seddon, A. G. Zijlstra, L.-M. Jiang, L. W. M. van der Sluis, M. Versluis, D. Lohse, and H. J. G. E. Gardeniers, Localized removal of layers of metal, polymer, or biomaterial by ultrasound cavitation bubbles, Biomicrofluidics 6, 034114 (2012).
- R. Dijkink and C.-D. Ohl, Laser-induced cavitation based micropump, Lab Chip 8, 1676 (2008).
- J. R. Blake and D. C. Gibson, Cavitation bubbles near boundaries, Ann. Rev. Fluid Mech. 19, 99 (1987).
- A. Philipp and W. Lauterborn, Cavitation erosion by single laser-produced bubbles, J. Fluid Mech. 361, 75 (1998).
- A. Vogel and W. Lauterborn, Acoustic transient generation by laser-produced cavitation bubbles near solid boundaries, J. Acoust. Soc. Am. 84, 719 (1988).
- J. Holzfuss, M. Rüggeberg, and A. Billo, Shock Wave Emissions of a Sonoluminescing Bubble, Phys. Rev. Lett. 81, 5434 (1998).
- R. Pecha and B. Gompf, Microimplosions: Cavitation Collapse and Shock Wave Emission on a Nanosecond Time Scale, Phys. Rev. Lett. 84, 1328 (2000).
- M. Brenner, S. Hilgenfeldt, and D. Lohse, Single-bubble sonoluminescence, Rev. Mod. Phys. 74, 425 (2002).
- O. Baghdassarian, H.-C. Chu, B. Tabbert, and G. A. Williams, Spectrum of Luminescence from Laser-Created Bubbles in Water, Phys. Rev. Lett. 86, 4934 (2001).
- P. B. Robinson, J. R. Blake, T. Kodama, A. Shima, and Y. Tomita, Interaction of cavitation bubbles with a free surface, J. Appl. Phys. 89, 8225 (2001).
- G. N. Sankin, W. N. Simmons, S. L. Zhu, and P. Zhong, Shock Wave Interaction with Laser-Generated Single Bubbles, Phys. Rev. Lett. 95, 034501 (2005).
- F. Reuter and R. Mettin, Electrochemical wall shear rate microscopy of collapsing bubbles, Phys. Rev. Fluids 3, 063601 (2018).
- D. Obreschkow, P. Kobel, N. Dorsaz, A. de Bosset, C. Nicollier, and M. Farhat, Cavitation Bubble Collapse Inside Liquid Spheres in Microgravity, Phys. Rev. Lett. 97, 094502 (2006).
- A. M. Zhang, P. Cui, J. Cui, and Q. X. Wang, Experimental study on bubble dynamics subject to buoyancy, J. Fluid Mech. 776, 137 (2015).
- S. Zhang, S. P. Wang, and A. M. Zhang, Experimental study on the interaction between bubble and free surface using a high-voltage spark generator, Phys. Fluids 28, 032109 (2016).
- T. Matula, Single-bubble sonoluminescence in microgravity, Ultrasonics 38, 559 (2000).
- E. A. Brujan, T. Ikeda, and Y. Matsumoto, Jet formation and shock wave emission during collapse of ultrasound-induced cavitation bubbles and their role in the therapeutic applications of high-intensity focused ultrasound, Phys. Med. Biol. 50, 4797 (2005).
- B. B. Taib, G. Doherty, and J. R. Blake, High order boundary integral modelling of cavitation bubbles, in Proceedings of the Eighth Australasian Fluid Mechanics Conference (University of Newcastle, 1983), pp. 10B.11–10B.14.
- Y. Tomita, P. B. Robinson, R. P. Tong, and J. R. Blake, Growth and collapse of cavitation bubbles near a curved rigid boundary, J. Fluid Mech. 466, 259 (2002).
- S. Zhang, J. H. Duncan, and G. L. Chahine, The final stage of the collapse of a cavitation bubble near a rigid wall, J. Fluid Mech. 257, 147 (1993).
- A. Pearson, J. R. Blake, and S. R. Otto, Jets in bubbles, J. Eng. Math. 48, 391 (2004).
- Q. X. Wang, Local energy of a bubble system and its loss due to acoustic radiation, J. Fluid Mech. 797, 201 (2016).
- E. Johnsen and T. Colonius, Numerical simulations of non-spherical bubble collapse, J. Fluid Mech. 629, 231 (2009).
- C.-T. Hsiao, A. Jayaprakash, A. Kapahi, J.-K. Choi, and G. L. Chahine, Modelling of material pitting from cavitation bubble collapse, J. Fluid Mech. 755, 142 (2014).
- 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).
- P. Koukouvinis, M. Gavaises, O. Supponen, and M. Farhat, Simulation of bubble expansion and collapse in the vicinity of a free surface, Phys. Fluids 28, 052103 (2016).
- P. Koukouvinis, M. Gavaises, O. Supponen, and M. Farhat, Numerical simulation of a collapsing bubble subject to gravity, Phys. Fluids 28, 032110 (2016).
- L. Rayleigh, On the pressure developed in a liquid during the collapse of a spherical cavity, Philos. Mag. 34, 94 (1917).
- I. Akhatov, O. Lindau, A. Topolnikov, R. Mettin, N. Vakhitova, and W. Lauterborn, Collapse and rebound of a laser-induced cavitation bubble, Phys. Fluids 13, 2805 (2001).
- G. Hauke, D. Fuster, and C. Dopazo, Dynamics of a single cavitating and reacting bubble, Phys. Rev. E 75, 066310 (2007).
- L. Trilling, The collapse and rebound of a gas bubble, J. Appl. Phys. 23, 14 (1952).
- J. B. Keller and M. Miksis, Bubble oscillations of large amplitude, J. Acoust. Soc. Am. 68, 628 (1980).
- A. Prosperetti, The equation of bubble dynamics in a compressible fluid, Phys. Fluids 30, 3626 (1987).
- D. Fuster, C. Dopazo, and G. Hauke, Liquid compressibility effects during the collapse of a single cavitating bubble, J. Acoust. Soc. Am. 129, 122 (2011).
- J. R. Blake, The Kelvin impulse: Application to cavitation bubble dynamics, J. Austral. Math. Soc. Ser. B 30, 127 (1988).
- J. R. Blake, D.M. Leppinen, and Q. Wang, Cavitation and bubble dynamics: The Kelvin impulse and its applications, Interface Focus 5, 20150017 (2015).
- O. Supponen, D. Obreschkow, M. Tinguely, P. Kobel, N. Dorsaz, and M. Farhat, Scaling laws for jets of single cavitation bubbles, J. Fluid Mech. 802, 263 (2016).
- 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).
- O. Supponen, D. Obreschkow, P. Kobel, M. Tinguely, N. Dorsaz, and M. Farhat, Shock waves from nonspherical cavitation bubbles, Phys. Rev. Fluids 2, 093601 (2017).
- C.-D. Ohl, Probing luminescence from nonspherical bubble collapse, Phys. Fluids 14, 2700 (2002).
- O. Supponen, D. Obreschkow, P. Kobel, and M. Farhat, Luminescence from cavitation bubbles deformed in uniform pressure gradients, Phys. Rev. E 96, 033114 (2017).
- D. C. Gibson, Cavitation adjacent to plane boundaries, Proceedings of the Third Australasian Conference on Hydraulics and Fluid Mechanics (The Institution of Engineers, Sydney, 1968), pp. 210–214.
- Note that a simpler way to approximate the relationship between and for a bubble near a rigid surface would be to compute the pressure gradient in by combining the unsteady Bernoulli equation and an image source with potential flow , where is the radial distance away from the source. At the maximum bubble radius, when the effect of the boundary is assumed the strongest, the nondimensionalized pressure gradient produced by the image at the bubble's center yields a similar relation, .
- D. Obreschkow, M. Tinguely, N. Dorsaz, P. Kobel, A. de Bosset, and M. Farhat, The quest for the most spherical bubble: Experimental setup and data overview, Exp. Fluids 54, 1503 (2013).
- M. Tinguely, D. Obreschkow, P. Kobel, N. Dorsaz, A. de Bosset, and M. Farhat, Energy partition at the collapse of spherical cavitation bubbles, Phys. Rev. E 86, 046315 (2012).
- T. Sato, M. Tinguely, M. Oizumi, and M. Farhat, Evidence for hydrogen generation in laser- or spark-induced cavitation bubbles, Appl. Phys. Lett. 102, 074105 (2013).
- S. Fujikawa and T. Akamatsu, Effects of the non-equilibrium condensation of vapour on the pressure wave produced by the collapse of a bubble in a liquid, J. Fluid Mech. 97, 481 (1979).