Hostname: page-component-848d4c4894-cjp7w Total loading time: 0 Render date: 2024-07-04T23:44:13.888Z Has data issue: false hasContentIssue false
  • English
  • Français

Cinematographic Analysis of Counter Jet Formation in a Single Cavitation Bubble Collapse Flow

Published online by Cambridge University Press:  16 June 2011

S.-H. Yang ,
S.-Y. Jaw  and
K.-C. Yeh
S.-H. Yang*
Affiliation:
Department of Civil Engineering, National Chiao Tung University, Hsinchu, Tainan, Taiwan 30010, R.O.C.
S.-Y. Jaw
Affiliation:
Department of Systems Engineering and Naval Architecture, National Taiwan Ocean University, Keelung, Taiwan 20224, R.O.C.
K.-C. Yeh
Affiliation:
Department of Civil Engineering, National Chiao Tung University, Hsinchu, Tainan, Taiwan 30010, R.O.C.
*
*Post-Doctoral Research Associate, corresponding author
Get access

Abstract

This study utilized a U-shape platform device to generate a single cavitation bubble for the detail analysis of the flow field characteristics and the cause of the counter jet during the process of bubble collapse induced by pressure wave. A series of bubble collapse flows induced by pressure waves of different strengths are investigated by positioning the cavitation bubble at different stand-off distances to the solid boundary. It is found that the Kelvin-Helmholtz vortices are formed when the liquid jet induced by the pressure wave penetrates the bubble surface. If the bubble center to the solid boundary is within one to three times the bubble's radius, a stagnation ring will form on the boundary when impacted by the penetrated jet. The liquid inside the stagnation ring is squeezed toward the center of the ring to form a counter jet after the bubble collapses. At the critical position, where the bubble center from the solid boundary is about three times the bubble's radius, the bubble collapse flows will vary. Depending on the strengths of the pressure waves applied, either just the Kelvin-Helmholtz vortices form around the penetrated jet or the penetrated jet impacts the boundary directly to generate the stagnation ring and the counter jet flow. This phenomenon used the particle image velocimetry method can be clearly revealed the flow field variation of the counter jet. If the bubble surface is in contact with the solid boundary, the liquid jet can only splash radially without producing the stagnation ring and the counter jet. The complex phenomenon of cavitation bubble collapse flows are clearly manifested in this study.

Keywords

Cavitation bubbleKelvin-helmholtz vorticesStagnation ringCounter jetParticle image velocimetry
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 2 , June 2011 , pp. 253 - 266
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

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

1. Plesset, M. S. and Chapman, R. B., “Collapse of an Initially Spherical Vapour Cavity in the Neighbourhood of a Solid Boundary,” Journal of Fluid Mechanics, 47, pp. 283–290 (1971).CrossRefGoogle Scholar
2. Raleigh, L., “On the Pressure Developed in a Liquid During the Collapse of a Spherical Cavity,” Philosophical Magazine, 34, pp.94–98 (1917).Google Scholar
3. Plesset, M. S., “The Dynamics of Cavitation Bubbles,” Transactions, ASME: Journal of Applied Mechanics, 16, pp. 277–282 (1949). chanics, 16, pp. 277–282 (1949).CrossRefGoogle Scholar
4. Gilmore, F. R., “The Growth and Collapse of a Spherical Bubble in a Viscous Compressible Liquid,” Technical Report California Institute of Technology, Pasadena, CA (1952).Google Scholar
5. Plesset, M. S. and Zwick, S. A., “A Nonsteady Heat Diffusion Problem with Spherical Symmetry,” Journal of Applied Physics, 23, pp. 95–98 (1952).CrossRefGoogle Scholar
6. Kornfeld, M. and Suvorov, L., “On the Destructive Action of Cavitation,” Journal of Applied Physics, 15, pp. 495–506. (1944).CrossRefGoogle Scholar
7. Naude, C. F. and Elli, A. T., “On the Mechanism of Cavitation Damage by Nonhemispherical Cavities Collapse in Contact with a Solid Boundary,” Transactions, ASME D, Journal of Basic Engineering, 83, pp. 648–656 (1961).CrossRefGoogle Scholar
8. Benjamin, T. B. and Ellis, A. T., “The Collapse of Cavitation Bubbles and the Pressures Thereby Produced Against Solid Boundaries,” Philosophical Transactions of the Royal Society of London Series A, Mathematical and Physical Sciences, 260, pp. 221–240 (1966).Google Scholar
9. Philipp, A. and Lauterborn, W., “Cavitation Erosion by Single Laser-Produced Bubbles,” Journal of Fluid Mechanics, 361, pp. 75–116 (1998).CrossRefGoogle Scholar
10. Harrison, M., “An Experimental Study of Single Bubble Cavitation Noise,” Journal of the Acoustical Society of America, 24, pp. 776–782 (1952).CrossRefGoogle Scholar
11. Vogel, A. and Lauterborn, W., “Time-Resolved Particle Image Velocimetry Used in the Investigation of Cavitation Bubble Dynamics,” Applied Optics, 29, pp. 1869–1876 (1988).CrossRefGoogle Scholar
12. Tomita, Y. and Shima, A., “Mechanisms of Impulsive Pressure Generation and Damage Pit Formation by Bubble Collapse,” Journal of Fluid Mechanics, 169, pp. 535–564 (1986).CrossRefGoogle Scholar
13. Ward, B. and Emmony, D. C., “Direct Observation of the Pressure Developed in a Liquid During Cavitation-Bubble Collapse,” Applied Physics Letters, 59, pp. 2228–2231 (1991).CrossRefGoogle Scholar
14. Ohl, C. D., Philipp, A. and Lauterborn, W., “Cavitation Bubble Collapse Studied at 20 Million Frames Per Second,” Annalen Der Physik, 4, pp. 26–34 (1995).CrossRefGoogle Scholar
15. Shaw, S. J., Jin, Y. H., Schiffers, W. P. and Emmony, D. C., “The Interaction of a Single Laser-Generated Cavity in Water with a Solid Surface,” The Journal of the Acoustical Society of America, 99, pp. 2811–2824 (1996).CrossRefGoogle Scholar
16. Lindau, O. and Lauterborn, W., “Cinematographic Observation of the Collapse and Rebound of a Laser-Produced Cavitation Bubble Near a Wall,” Journal of Fluid Mechanics, 479, pp. 327–348 (2003).CrossRefGoogle Scholar
17. Ohl, C. D., Lindau, O. and Lauterborn, W., “Luminescence from Spherically and Aspherically Collapsing Laser Induced Bubbles,” Physical Review Letters, 80, pp. 393–397 (1998).CrossRefGoogle Scholar
18. Buzukov, A. A. and Teslenko, V. S., “Sonoluminescence Following Focusing of Laser Radiation Into Liquid,” Journal of Experimental and Theoretical Physics Letters, 14, pp. 189–191 (1971).Google Scholar
19. Akmanov, A. G., Ben'kovskii, V. G., Golubnichii, P. I., Maslennikov, S. I. and Shemanin, V. G., “Laser Sonoluminescence in a Liquid,” Soviet Physics Acoustics, 19, pp. 417–418 (1974).Google Scholar
20. Ohl, C. D., Kurz, T., Geisler, R., Lindau, O. and Lauterborn, W., “Bubble Dynamics, Shock Waves and Sonoluminescence,” Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 357, pp. 269–294 (1999).CrossRefGoogle Scholar
21. Wolfrum, B., Kurz, T., Lindau, O. and Lauterborn, W., “Luminescence of Transient Bubbles at Elevated Ambient Pressure,” Physical Review E, 64, pp. 046306 (2001).CrossRefGoogle Scholar
22. Baghdassarian, O., Chu, H. C., Tabbert, B. and Williams, G. A., “Spectrum of Luminescence from Laser-Created Bubbles in Water,” Physical Review Letters, 86, pp. 4934–4937 (2001).CrossRefGoogle ScholarPubMed
23. Kling, C. L. and Hammitt, F. G., “A Photographic Study of Spark-Induced Cavitation Bubble Collapse,” Transactions of the ASME D: Journal of Basic Engineering, 94, pp. 825–833 (1972).CrossRefGoogle Scholar
24. Lauterborn, W., “Kavitation Durch Laserlicht,” Acustica, 31, pp. 52–78 (1974).Google Scholar
25. Best, J. P., “The Formation of Toroidal Bubbles Upon the Collapse of Transient Cavities,” Journal of Fluid Mechanics, 251, pp. 79–107 (1993).CrossRefGoogle Scholar
26. Zhang, S., Duncan, J. H. and Chahine, G. L., “The Final Stage of the Collapse of a Cavitation Bubble Near a Rigid Wall,” Journal of Fluid Mechanics, 257, pp. 147–181 (1993).CrossRefGoogle Scholar
27. Blake, J. R., Hooton, M. C., Robinson, P. B. and Tong, R. P., “Collapsing Cavities, Toroidal Bubbles and Jet Impact,” Philosophical Transactions Mathematical, Physical and Engineering Sciences, 355, pp. 537–550 (1997).CrossRefGoogle Scholar
28. Vogel, A., Lauterborn, W. and Timm, R., “Optical and Acoustic Investigations of the Dynamics of Laser-Produced Cavitation Bubbles Near a Solid Boundary,” Journal of Fluid Mechanics, 206, pp. 299–338 (1989).CrossRefGoogle Scholar
29. Kodama, T. and Tomita, Y., “Cavitation Bubble Behavior and Bubble-Shock Wave Interaction Near a Gelatin Surface as a Study of in Vivo Bubble Dynamics,” Applied Physical B, 70, pp. 139–149 (2000).CrossRefGoogle Scholar
30. Tong, R. P., Schiffers, W. P. and Blake, S. J., “Splashing in the Collapse of a Laser-Generated Cavity Near a Rigid Boundary,” Journal of Fluid Mechanics, 380, pp. 339–361 (1999).CrossRefGoogle Scholar
31. Shaw, S. J., Schiffers, W. P. and Emmony, D. C., “Experimental Observations of the Stress Experienced by a Solid Surface When a Laser-Created Bubble Oscillates in its Vicinity,” Journal of the Acoustical Society of America, 110, pp. 1822–1827 (2001).CrossRefGoogle Scholar
32. Brujan, E. A., Keen, G. S., Vogel, A. and Blake, J. R., “The Final Stage of the Collapse of a Cavitation Bubble Close to a Rigid Boundary,” Physics of Fluids, 14, pp. 85–92 (2002).CrossRefGoogle Scholar
33. Lawson, N. J., Rudman, A., Guerra, J. and Liow, J. L., “Experimental and Numerical Comparisons of the Break-Up of a Large Bubble,” Experiments in Fluids, 26, pp. 524–534 (1999).CrossRefGoogle Scholar
34. Jaw, S. Y., Chen, C. J. and Hwang, R. R., “Flow Visualization of Bubble Collapse Flow,” Journal of Visualization, 10, pp. 21–24 (2007).CrossRefGoogle Scholar
35. Lauterborn, W., “High-Speed Photography of LaserInduced Breakdown in Lquids,” Applied Physical Letters, 21, pp. 27–29 (1972).CrossRefGoogle Scholar
36. Philipp, A., Delius, M., Scheffczyk, C., Vogel, A. and Lauterborn, W., “Interaction of LithotripterGenerated Shock Waves with Air Bubbles,” Journal of the Acoustical Society of America, 93, pp. 2496–2509 (1993).CrossRefGoogle Scholar
37. Sankin, G. N., Simmons, W. N., Zhu, S. L. and Zhong, P., “Shock Wave Interaction with LaserGenerated Single Bubble,” Physical Review Latter, 95, 034501 (2005).CrossRefGoogle Scholar
38. Zhu, S. and Zhong, P., “Shock Wave—Inertial Microbubble Interaction: A Theoretical Study Based on the Gilmore Formulation for Bubble Dynamics,” Journal of the Acoustical Society of America, 106, pp. 3024–2033 (1999).CrossRefGoogle ScholarPubMed