Advertisement

Bubble Behavior Near a Two Fluid Interface

  • G. A. Curtiss
  • D. M. Leppinen
  • Q. X. Wang
  • J. R. Blake

Abstract

The influence of rigid and free boundaries on the dynamics of bubbles has been researched extensively, both experimentally and theoretically. Experiments by (Benjamin and Ellis 1966) showed that the presence of a solid boundary caused the formation of a liquid jet through the bubble, forming a toroidal bubble. This behavior has been observed in many other experiments since, including (Brujan et al. 2002), (Phillip and Lauterborn 1998), (Tomita and Shima 1986), (Lauterborn and Bolle 1975). Similar behavior is also observed when a bubble collapses near a free surface. In such conditions bubble jetting may be directed away from the surface, with a counter-jet forming out of the free surface. Experiments using spark-generated bubbles by (Blake and Gibson 1981) under free fall conditions and (Chahine and Bovis 1980) in standard gravity showed this counter-jet to be greatly influenced by the standoff distance. Bubbles formed very close to the surface generate severe vertical surface spikes, and those at greater distances create much smaller and smoother deformations to the surface.

Keywords

Free Surface Cavitation Bubble Standoff Distance Bubble Surface Fluid Interface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [Be66]
    Benjamin, T.B., Ellis, A.T.: The collapse of cavitation bubbles and the pressures thereby produced against solid boundaries. Phil. Trans. R. Soc. Lond. A, 260, 221–240 (1966). CrossRefGoogle Scholar
  2. [Bl81]
    Blake, J.R., Gibson, D.C.: Growth and collapse of a vapour cavity near a free surface. J. Fluid Mech., 111, 123–140 (1981). CrossRefGoogle Scholar
  3. [Bl86]
    Blake, J.R., Taib, B.B., Doherty, G.: Transient cavities near boundaries. Part 1. Rigid boundary. J. Fluid Mech., 170, 479–497 (1986). zbMATHCrossRefGoogle Scholar
  4. [Bl87]
    Blake, J.R., Taib, B.B., Doherty, G.: Transient cavities near boundaries. Part 2. Free surface. J. Fluid Mech., 181, 197–212 (1987). CrossRefGoogle Scholar
  5. [Br02]
    Brujan, E.A., Keen, G.S., Vogel, A., Blake, J.R.: The final stage of the collapse of a cavitation bubble close to a rigid boundary. Phys. Fluids, 14, 85–92 (2002). CrossRefGoogle Scholar
  6. [Br01a]
    Brujan, E.A., Nahen, K., Schmidt, P., Vogel, A.: Dynamics of laser-induced cavitation bubbles near an elastic boundary. J. of Fluid Mech., 433, 251–281 (2001). zbMATHGoogle Scholar
  7. [Br01b]
    Brujan, E.A., Nahen, K., Schmidt, P., Vogel, A.: Dynamics of laser-induced cavitation bubbles near elastic boundaries: Influence of the elastic modulus. J. Fluid Mech., 433, 283–314 (2001). zbMATHGoogle Scholar
  8. [Ch80]
    Chahine, G.L., Bovis, A.: Oscillation and collapse of a cavitation bubble in the vicinity of a two-liquid interface. Springer Series in Electrophysics 4 - Cavitation and inhomogeneities in underwater acoustics, 23–29 (1980). Google Scholar
  9. [Cu09]
    Curtiss, G.A.: Non-linear, non-spherical bubble dynamics near a two fluid interface, PhD Thesis, The University of Birmingham (2009). Google Scholar
  10. [Kl04a]
    Klaseboer, E., Khoo, B.C.: Boundary integral equations as applied to an oscillating bubble near a fluid–fluid interface. Comp. Mech., 33, 129–138 (2004). zbMATHCrossRefGoogle Scholar
  11. [Kl04b]
    Klaseboer, E., Khoo, B.C.: An oscillating bubble near an elastic material. J. Appl. Phys., 96, 5808–5818 (2004). CrossRefGoogle Scholar
  12. [La75]
    Lauterborn, W., Bolle, H.: Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary. J. Fluid Mech., 72, 391–399 (1975). CrossRefGoogle Scholar
  13. [Le76]
    Lenoir, M.: Calcul numérique de l’implosion d’une bulle de cavitation au voisinage d’une paroi ou d’une surface libre. J. Mécanique, 15, 725–751 (1976). MathSciNetzbMATHGoogle Scholar
  14. [Lu91]
    Lundgren, T.S., Mansour, N.N.: Vortex ring bubbles. J. Fluid Mech., 224, 177–196 (1991). zbMATHCrossRefGoogle Scholar
  15. [Pe03]
    Pearson, A.: Hydrodynamics of jet impact in a collapsing bubble. PhD Thesis, The University of Birmingham (2003). Google Scholar
  16. [Pi98]
    Phillip, A., Lauterborn, W.: Cavitation erosion by single laser-produced bubbles. J. Fluid Mech., 361, 75–116 (1998). CrossRefGoogle Scholar
  17. [Ro01]
    Robinson, P.B., Blake, J.R., Kodama, T., Shima, A., Tomita, Y.: Interaction of cavitation bubbles with a free surface. J. Appl. Phys., 89, 8225–8237 (2001). CrossRefGoogle Scholar
  18. [To86]
    Tomita, Y., Shima, A.: Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse. J. Fluid Mech., 169, 535–564 (1986). CrossRefGoogle Scholar
  19. [Ta85]
    Taib, B.B.: Boundary integral method applied to cavitation bubble dynamics. Phd Thesis, The University of Wollongong (1985). Google Scholar
  20. [Vo80]
    Vogel, A., Schweigner, P., Frieser, A., Asiyo, M.N., Birngruber, R.: Intraocular Nd:YAG Laser surgery: Light tissue interaction, damage range, and reduction of collateral effects. J. Quant. Elec., 26, 2240–2260 (1990). CrossRefGoogle Scholar
  21. [Wa96]
    Wang, Q.X., Yeo, K.S., Khoo, B.C., Lam, K.Y.: Nonlinear interaction between gas bubble and free surface. Computers and Fluids, 25, 607–628 (1996). zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • G. A. Curtiss
    • 1
  • D. M. Leppinen
    • 1
  • Q. X. Wang
    • 1
  • J. R. Blake
    • 1
  1. 1.University of BirminghamBirminghamUK

Personalised recommendations