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Experiments on bubble dynamics between a free surface and a rigid wall

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Abstract

Experiments were conducted where the underwater bubble oscillates between two boundaries, a free surface and a horizontal rigid wall. The motion features of both the bubble and the free surface were investigated, via the consideration of two key factors, i.e., the non-dimensional distances from the bubble to the two boundaries. To support the investigation, experiments were conducted in the first place where the bubble oscillates near only one of the two boundaries. Then the other boundary was inserted at different positions to observe the changes in the motion features, including the types, maximum speed and height of the water spike and skirt, the form and speed of the jets, and bubble shapes. Correspondence is found between the motion features of the free surface and different stages of bubble oscillation. Intriguing details such as gas torus around the jet, double jets, bubble entrapment, and microjet of the water spike, etc., are observed.

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References

  • Best JP (1993) The formation of toroidal bubbles upon the collapse of transient cavities. J Fluid Mech 251:79–107

    Article  MATH  Google Scholar 

  • Benjamin TB, Ellis AT (1966) The collapse of cavitation bubbles and the pressures thereby produced against solid boundaries. Phil Trans R Soc Lond A 260:221–240

    Article  Google Scholar 

  • Blake JR, Gibson DC (1981) Growth and collapse of a vapour cavity near a free surface. J Fluid Mech 111:123–140

    Article  Google Scholar 

  • Blake JR, Gibson DC (1987) Cavitation bubbles near boundaries. Annu Rev Fluid Mech 19:99–123

    Article  Google Scholar 

  • Blake JR, Taib BB, Doherty G (1987) Transient cavities near boundaries. Part 2 Free surface. J Fluid Mech 181:197–212

    Article  Google Scholar 

  • Blake JR, Hooton MC, Robinson PB, Tong RP (1997) Collapsing cavities, toroidal bubbles and jet impact. Phil Trans R Soc Lond A 355:537–550

    Article  MathSciNet  MATH  Google Scholar 

  • Blake JR, Tomita Y, Tong RP (1998) The art, craft and science of modelling jet impact in a collapsing cavitation bubble. In: Biesheuvel A, Heijst G (eds) In fascination of fluid dynamics. Springer, Netherlands, pp 77–90

    Chapter  Google Scholar 

  • Blake JR, Keen GS, Tong RP, Wilson M (1999) Acoustic cavitation: the fluid dynamics of non–spherical bubbles. Phil Trans R Soc Lond A 357:251–267

    Article  MathSciNet  MATH  Google Scholar 

  • Bourne NK, Field JE (1995) A high speed photographic study of cavitation damage. J Appl Phys 78:4423–4427

    Article  Google Scholar 

  • Brennen CE (2002) Fission of collapsing cavitation bubbles. J Fluid Mech 472:153–166

    Article  MATH  Google Scholar 

  • Brujan EA, Nahen K, Schmidt P, Vogel A (2001) Dynamics of laser-induced cavitation bubbles near an elastic boundary. J Fluid Mech 433:251–281

    Article  MATH  Google Scholar 

  • Brujan EA, Keen GS, Vogel A, Blake JR (2002) The final stage of the collapse of a cavitation bubble close to a rigid boundary. Phys Fluids 14:85–92

    Article  Google Scholar 

  • Chahine GL (1977) Interaction between an oscillating bubble and a free surface. J Fluids Eng 99:709–716

    Article  Google Scholar 

  • Dadvand A, Khoo BC, Shervani-Tabar MT (2009) A collapsing bubble-induced microinjector: an experimental study. Exp Fluids 46:419–434

    Article  Google Scholar 

  • Deng Q, Anilkumar AV, Wang TG (2007) The role of viscosity and surface tension in bubble entrapment during drop impact onto a deep liquid pool. J Fluid Mech 578:119–138

    Article  MATH  Google Scholar 

  • Fong SW, Adhikari D, Klaseboer E, Khoo BC (2009) Interactions of multiple spark-generated bubbles with phase differences. Exp Fluids 46:705–724

    Article  Google Scholar 

  • Fujikawa S, Akamatsu T (1980) 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 97:481–512

    Article  MATH  Google Scholar 

  • Gibson DC (1968) Cavitation adjacent to plane boundaries 3rd Australasian Conference on Hydraulic fluid mechanics

  • Gilmore FR (1952) The growth or collapse of a spherical bubble in a viscous compressible liquid. Cal Tech Inst Rep 26–4. Hydrodynamics Laboratory, California Institute of Technology, Pasadena, CA. http://authors.library.caltech.edu/561/

  • Lauterborn W, Bolle H (1975) Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary. J Fluid Mech 72:391–399

    Article  Google Scholar 

  • Li Z, Sun L, Zong Z, Dong J (2012) Some dynamical characteristics of a non-spherical bubble in proximity to a free surface. Acta Mech 223:2331–2355

    Article  MathSciNet  MATH  Google Scholar 

  • Lindau O, Lauterborn W (2003) Cinematographic observation of the collapse and rebound of a laser-produced cavitation bubble near a wall. J Fluid Mech 479:327–348

    Article  MATH  Google Scholar 

  • Longuet-Higgins MS (1983) Bubbles, breaking waves and hyperbolic jets at a free surface. J Fluid Mech 127:103–121

    Article  MathSciNet  MATH  Google Scholar 

  • Menon S, Lal M (1998) On the dynamics and instability of bubbles formed during underwater explosions. Exp Therm Fluid Sci 16:305–321

    Article  Google Scholar 

  • Naudé CF, Ellis AT (1961) On the mechanism of cavitation damage by nonhemispherical cavities collapsing in contact with a solid boundary. J Fluids Eng 83:648–656

    Google Scholar 

  • Ohl CD, Ikink R (2003) Shock-wave-induced jetting of micron-size bubbles. Phys Rev Lett 90:214502

    Article  Google Scholar 

  • Ohl CD, Philipp A, Lauterborn W (1995) Cavitation bubble collapse studied at 20 million frames per second. Ann Physik 4:26–34

    Article  Google Scholar 

  • Pearson A, Blake JR, Otto SR (2004a) Jets in bubbles. J Eng Math 48:391–412

    Article  MathSciNet  MATH  Google Scholar 

  • Pearson A, Cox E, Blake JR, Otto SR (2004b) Bubble interactions near a free surface. Eng Anal Bound Elem 28:295–313

    Article  MATH  Google Scholar 

  • Philipp A, Lauterborn W (1998) Cavitation erosion by single laser-produced bubbles. J Fluid Mech 361:75–116

    Article  MATH  Google Scholar 

  • Prosperetti A, Lezzi A (1986) Bubble dynamics in a compressible liquid. Part 1. First-order theory. J Fluid Mech 168:457–478

    Article  MATH  Google Scholar 

  • Rayleigh L (1917) On the pressure developed in a liquid during the collapse of a spherical cavity. Philos Mag 34:94–98

    Article  MATH  Google Scholar 

  • Robinson PB, Blake JR, Kodama T, Shima A, Tomita Y (2001) Interaction of cavitation bubbles with a free surface. J Appl Phys 89:8225–8237

    Article  Google Scholar 

  • Shaw SJ, Jin YH, Schiffers WP, Emmony DC (1996) The interaction of a laser-generated cavity in water with a solid surface. J Acoust Soc Am 99:2811–2824

    Article  Google Scholar 

  • Shaw SJ, Jin YH, Gentry TP, Emmony DC (1999) Experimental observations of the interaction of a laser generated cavitation bubble with a flexible membrane. Phys Fluids 11:2437–2439

    Article  MATH  Google Scholar 

  • Shima A, Takayama K, Tomita Y, Miura N (1981) An experimental study on effects of a solid wall on the motion of bubbles and shock waves in bubble collapse. Acta Acust Acust 48:293–301

    Google Scholar 

  • Shima A, Takayama K, Tomita Y (1983) Mechanism of impact pressure generation from spark-generated bubble collapse near a wall. AAIA J 21:55–59

    Article  Google Scholar 

  • Tomita Y, Shima A (1986) Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse. J Fluid Mech 169:535–564

    Article  Google Scholar 

  • Tong RP, Schiffers WP, Shaw SJ, Blake JR, Emmony DC (1999) The role of ‘splashing’ in the collapse of a laser-generated cavity near a rigid boundary. J Fluid Mech 380:339–361

    Article  MATH  Google Scholar 

  • Turangan CK, Ong GP, Klaseboer E, Khoo BC (2006) Experimental and numerical study of transient bubble-elastic membrane interaction. J Appl Phys 100:054910-1–054910-7

    Article  Google Scholar 

  • Vogel A, Lauterborn W, Timm R (1989) Optical and acoustic investigations of the dynamics of laser-produced cavitation bubbles near a solid boundary. J Fluid Mech 206:299–338

    Article  Google Scholar 

  • Wang QX, Yeo KS, Khoo BC, Lam KY (1996) Nonlinear interaction between gas bubble and free surface. Comput Fluids 25:607–628

    Article  MATH  Google Scholar 

  • Wang QX, Yeo KS, Khoo BC, Lam KY (2005) Vortex ring modelling of toroidal bubbles. Theor Comp Fluid Dyn 19:303–317

    Article  MATH  Google Scholar 

  • Ward B, Emmony DC (1991) Interferometric studies of the pressure developed in a liquid during infrared-laser-induced cavitation bubble oscillation. Infrared Phys 32:489–515

    Article  Google Scholar 

  • Zhang S, Duncan JH, Chahine GL (1993) The final stage of the collapse of a cavitation bubble near a rigid wall. J Fluid Mech 257:147–181

    Article  MATH  Google Scholar 

  • Zhang AM, Wang SP, Bai ZH (2011) Experimental study on bubble pulse features under different circumstances. Chin J Theor Appl Mech 43:71–83

    Google Scholar 

Download references

Acknowledgments

This work was supported by the project of the Outstanding Youth Fund of China (Grant No. 51222904) and the National Security Major Fundamental Research Program of China (Grant No. 613157). The authors are also grateful for the precious advice and support from Dr. Q. X. Wang from University of Birmingham.

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Correspondence to A. M. Zhang.

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Zhang, A.M., Cui, P. & Wang, Y. Experiments on bubble dynamics between a free surface and a rigid wall. Exp Fluids 54, 1602 (2013). https://doi.org/10.1007/s00348-013-1602-7

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  • DOI: https://doi.org/10.1007/s00348-013-1602-7

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