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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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).
Blake, J.R., Gibson, D.C.: Growth and collapse of a vapour cavity near a free surface. J. Fluid Mech., 111, 123–140 (1981).
Blake, J.R., Taib, B.B., Doherty, G.: Transient cavities near boundaries. Part 1. Rigid boundary. J. Fluid Mech., 170, 479–497 (1986).
Blake, J.R., Taib, B.B., Doherty, G.: Transient cavities near boundaries. Part 2. Free surface. J. Fluid Mech., 181, 197–212 (1987).
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).
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).
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).
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).
Curtiss, G.A.: Non-linear, non-spherical bubble dynamics near a two fluid interface, PhD Thesis, The University of Birmingham (2009).
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).
Klaseboer, E., Khoo, B.C.: An oscillating bubble near an elastic material. J. Appl. Phys., 96, 5808–5818 (2004).
Lauterborn, W., Bolle, H.: Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary. J. Fluid Mech., 72, 391–399 (1975).
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).
Lundgren, T.S., Mansour, N.N.: Vortex ring bubbles. J. Fluid Mech., 224, 177–196 (1991).
Pearson, A.: Hydrodynamics of jet impact in a collapsing bubble. PhD Thesis, The University of Birmingham (2003).
Phillip, A., Lauterborn, W.: Cavitation erosion by single laser-produced bubbles. J. Fluid Mech., 361, 75–116 (1998).
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).
Tomita, Y., Shima, A.: Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse. J. Fluid Mech., 169, 535–564 (1986).
Taib, B.B.: Boundary integral method applied to cavitation bubble dynamics. Phd Thesis, The University of Wollongong (1985).
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).
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).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Curtiss, G.A., Leppinen, D.M., Wang, Q.X., Blake, J.R. (2011). Bubble Behavior Near a Two Fluid Interface. In: Constanda, C., Harris, P. (eds) Integral Methods in Science and Engineering. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8238-5_14
Download citation
DOI: https://doi.org/10.1007/978-0-8176-8238-5_14
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8237-8
Online ISBN: 978-0-8176-8238-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)