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Experimental study on bubble dynamics subject to buoyancy

  • A. M. Zhang (a1), P. Cui (a1), J. Cui (a2) and Q. X. Wang (a3)

This paper is concerned with the dynamics of large bubbles subject to various strengths of buoyancy effects, which are associated with applications for underwater explosion. The bubble is produced by electric discharge in a low-pressure tank to enhance the buoyancy effects. Experiments are carried out for a bubble in an infinite field, below a free surface and above a rigid boundary. The effects of buoyancy are reflected by the dimensionless parameter ${\it\delta}=\sqrt{{\it\rho}gR_{m}/(p_{amb}-p_{v})}$ , where $R_{m}$ , $p_{amb}$ , $p_{v}$ , ${\it\rho}$ and $g$ are the maximum bubble radius, ambient pressure, saturated vapour pressure, density of water and the acceleration of gravity respectively. A systematic study of buoyancy effects is carried out for a wide range of ${\it\delta}$ from 0.034 to 0.95. A series of new phenomena and new features is observed. The bubbles recorded are transparent, and thus we are able to display and study the jet formation, development and impact on the opposite bubble surface as well as the subsequent collapsing and rebounding of the ring bubble. Qualitative analyses are carried out for the bubble migration, jet velocity and jet initiation time, etc. for different values of ${\it\delta}$ . When a bubble oscillates below a free surface or above a rigid boundary, the Bjerknes force due to the free surface (or rigid boundary) and the buoyancy are in opposite directions. Three situations are studied for each of the two configurations: (i) the Bjerknes force being dominant, (ii) the buoyancy force being dominant and (iii) the two forces being approximately balanced. For case (iii), we further consider two subcases, where both the balanced Bjerknes and buoyancy forces are weak or strong. When the Bjerknes and buoyancy forces are approximately balanced over the pulsation, some representative bubble behaviours are observed: the bubble near free surface is found to split into two parts jetting away from each other for small ${\it\delta}$ , or involutes from both top and bottom for large ${\it\delta}$ . A bubble above a rigid wall is found to be subject to contraction from the lateral part leading to bubble splitting. New criteria are established based on experimental results for neutral collapses where there is no dominant jetting along one direction, which correlate well with the criteria of Blake et al. (J. Fluid Mech., vol. 170, 1986, pp. 479–497; J. Fluid Mech., vol. 181, 1987, pp. 197–212) but agree better with the experimental and computational results.

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I. Akhatov , O. Lindau , A. Topolnikov , R. Mettin , N. Vakhitova  & W. Lauterborn 2001 Collapse and rebound of a laser-induced cavitation bubble. Phys. Fluids 13, 28052819.

T. Benjamin  & A. T. Ellis 1966 The collapse of cavitation bubbles and the pressures thereby produced against solid boundaries. Phil. Trans. R. Soc. Lond. A 260, 221240.

J. P. Best  & A. Kucera 1992 A numerical investigation of non-spherical rebounding bubbles. J. Fluid Mech. 245, 137154.

J. P. Best , W. K. Soh  & C. F. Yu 1996 An experimental investigation of buoyant transient cavity collapse near rigid cylindrical boundaries. Trans. ASME J. Fluids Engng 118, 195198.

J. R. Blake  & D. C. Gibson 1981 Growth and collapse of a vapour cavity near a free surface. J. Fluid Mech. 111, 123140.

J. R. Blake  & D. C. Gibson 1987 Cavitation bubbles near boundaries. Annu. Rev. Fluid Mech. 19, 99123.

J. R. Blake , B. B. Taib  & G. Doherty 1986 Transient cavities near boundaries. Part 1. Rigid boundary. J. Fluid Mech. 170, 479497.

J. R. Blake , B. B. Taib  & G. Doherty 1987 Transient cavities near boundaries. Part 2. Free surface. J. Fluid Mech. 181, 197212.

J. M. Boulton-Stone  & J. R. Blake 1993 Gas bubbles bursting at a free surface. J. Fluid Mech. 254, 437466.

J. M. Brett  & G. Yiannakopolous 2008 A study of explosive effects in close proximity to a submerged cylinder. Intl J. Impact Engng 35, 206225.

J. M. Brett , G. Yiannakopoulos  & P. J. van der Schaaf 2000 Time-resolved measurement of the deformation of submerged cylinders subjected to loading from a nearby explosion. Intl J. Impact Engng 24, 875890.

E. A. Brujan , G. S. Keen , A. Vogel  & J. R. Blake 2002 The final stage of the collapse of a cavitation bubble close to a rigid boundary. Phys. Fluids 14, 8592.

E. A. Brujan , K. Nahen , P. Schmidt  & A. Vogel 2001 Dynamics of laser-induced cavitation bubbles near an elastic boundary. J. Fluid Mech. 433, 251281.

E. A. Brujan , A. Pearson  & J. R. Blake 2005 Pulsating, buoyant bubbles close to a rigid boundary and near the null final Kelvin impulse state. Intl J. Multiphase Flow 31, 302317.

S. Buogo  & G. B. Cannelli 2002 Implosion of an underwater spark-generated bubble and acoustic energy evaluation using the Rayleigh model. J. Acoust. Soc. Am. 111, 25942600.

G. L. Chahine 1977 Interaction between an oscillating bubble and a free surface. Trans. ASME J. Fluids Engng 99, 709716.

G. Chahine  & A. Bovis 1980 Oscillation and collapse of a cavitation bubble in the vicinity of a two-liquid interface. In Cavitation and Inhomogeneities in Underwater Acoustics (ed. W. Lauterborn ), pp. 2329. Springer.

A. Dadvand , B. C. Khoo  & M. T. Shervani-Tabar 2009 A collapsing bubble-induced microinjector: an experimental study. Exp. Fluids 46, 419434.

D. C. Gibson 1972 The kinetic and thermal expansion of vapor bubbles. Trans. ASME J. Fluids Engng 94, 8995.

D. C. Gibson  & J. R. Blake 1982 The growth and collapse of bubbles near deformable surfaces. Appl. Sci. Res. 38, 215224.

S. R. Gonzalez-Avila , E. Klaseboer , B. C. Khoo  & C. Ohl 2011 Cavitation bubble dynamics in a liquid gap of variable height. J. Fluid Mech. 682, 241260.

M. C. Hooton , J. R. Blake  & W. K. Soh 1994 Behaviour of an underwater explosion bubble near a rigid boundary: theory and experiment. In Bubble Dynamics and Interface Phenomena (ed. J. R. Blake , J. M. Boulton-Stone  & N. H. Thomas ), pp. 421428. Springer.

C. Hung  & J. Hwangfu 2010 Experimental study of the behaviour of mini-charge underwater explosion bubbles near different boundaries. J. Fluid Mech. 651, 5580.

A. Jayaprakash , C.-T. Hsiao  & G. Chahine 2012 Numerical and experimental study of the interaction of a spark-generated bubble and a vertical wall. Trans. ASME J. Fluids Engng 134, 031301.

Y. H. Jin , S. J. Shaw  & D. C. Emmony 1996 Observations of a cavitation bubble interacting with a solid boundary as seen from below. Phys. Fluids 8, 16991701.

K. K. Kan , J. H. Stuhmiller  & P. C. Chan 2005 Simulation of the collapse of an underwater explosion bubble under a circular plate. Shock Vib. 12, 217225.

E. Klaseboer , K. C. Hung , C. Wang , C. W. Wang , B. C. Khoo , P. Boyce , S. Debono  & H. Charlier 2005 Experimental and numerical investigation of the dynamics of an underwater explosion bubble near a resilient/rigid structure. J. Fluid Mech. 537, 387413.

J. R. Krieger  & G. L. Chahine 2005 Acoustic signals of underwater explosions near surfaces. J. Acoust. Soc. Am. 118, 29612974.

W. Lauterborn 1982 Cavitation bubble dynamics – new tools for an intricate problem. Appl. Sci. Res. 38, 165178.

W. Lauterborn  & H. Bolle 1975 Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary. J. Fluid Mech. 72, 391399.

W. Lauterborn  & W. Hentschel 1985 Cavitation bubble dynamics studied by high speed photography and holography: part one. Ultrasonics 23, 260268.

W. Lauterborn  & A. Vogel 1984 Modern optical techniques in fluid mechanics. Annu. Rev. Fluid Mech. 16, 223244.

O. Lindau  & W. Lauterborn 2003 Cinematographic observation of the collapse and rebound of a laser-produced cavitation bubble near a wall. J. Fluid Mech. 479, 327348.

D. Obreschkow , P. Kobel , N. Dorsaz , A. De Bosset , C. Nicollier  & M. Farhat 2006 Cavitation bubble dynamics inside liquid drops in microgravity. Phys. Rev. Lett. 97, 094502.

D. Obreschkow , M. Tinguely , N. Dorsaz , P. Kobel , A. De Bosset  & M. Farhat 2011 Universal scaling law for jets of collapsing bubbles. Phys. Rev. Lett. 107, 204501.

A. Pearson , E. Cox , J. R. Blake  & S. R. Otto 2004 Bubble interactions near a free surface. Engng Anal. Bound. Elem. 28, 295313.

A. Philipp  & W. Lauterborn 1998 Cavitation erosion by single laser-produced bubbles. J. Fluid Mech. 361, 75116.

P. B. Robinson , J. R. Blake , T. Kodama , A. Shima  & Y. Tomita 2001 Interaction of cavitation bubbles with a free surface. J. Appl. Phys. 89, 82258237.

S. J. Shaw , Y. H. Jin , T. P. Gentry  & D. C. Emmony 1999 Experimental observations of the interaction of a laser generated cavitation bubble with a flexible membrane. Phys. Fluids 11, 24372439.

S. J. Shaw , Y. H. Jin , W. P. Schiffers  & D. C. Emmony 1996 The interaction of a laser-generated cavity in water with a solid surface. J. Acoust. Soc. Am. 99, 28112824.

A. Shima  & K. Nakajima 1977 Collapse of a non-hemispherical bubble attached to a solid wall. J. Fluid Mech. 80, 369391.

A. Shima , K. Takayama  & Y. Tomita 1983 Mechanism of impact pressure generation from spark-generated bubble collapse near a wall. AAIA J. 21, 5559.

A. Shima , Y. Tomita , D. C. Gibson  & J. R. Blake 1989 The growth and collapse of cavitation bubbles near composite surfaces. J. Fluid Mech. 203, 199214.

Y. Tomita  & T. Kodama 2003 Interaction of laser-induced cavitation bubbles with composite surfaces. J. Appl. Phys. 94, 28092816.

Y. Tomita  & A. Shima 1986 Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse. J. Fluid Mech. 169, 535564.

R. P. Tong , W. P. Schiffers , S. J. Shaw , J. R. Blake  & D. C. Emmony 1999 The role of ‘splashing’ in the collapse of a laser-generated cavity near a rigid boundary. J. Fluid Mech. 380, 339361.

C. K. Turangan , G. P. Ong , E. Klaseboer  & B. C. Khoo 2006 Experimental and numerical study of transient bubble–elastic membrane interaction. J. Appl. Phys. 100, 054910.

A. Vogel , W. Lauterborn  & R. Timm 1989 Optical and acoustic investigations of the dynamics of laser-produced cavitation bubbles near a solid boundary. J. Fluid Mech. 206, 299338.

Q. X. Wang 1998 The evolution of a gas bubble near an inclined wall. J. Theor. Comput. Fluid Dyn. 12, 2951.

Q. X. Wang 2013 Underwater explosion bubble dynamics in a compressible liquid. Phys. Fluids 25, 072104.

Q. X. Wang , K. S. Yeo , B. C. Khoo  & K. Y. Lam 1996a Nonlinear interaction between gas bubble and free surface. Comput. Fluids 25, 607628.

Q. X. Wang , K. S. Yeo , B. C. Khoo  & K. Y. Lam 1996b Strong interaction between a buoyancy bubble and a free surface. Theor. Comput. Fluid Dyn. 8, 7388.

Y. X. Yang , Q. X. Wang  & S. K. Tan 2013 Dynamic features of a laser-induced cavitation bubble near a solid boundary. Ultrason. Sonochem. 20, 10981103.

A. M. Zhang  & Y. L. Liu 2015 Improved three-dimensional bubble dynamics model based on boundary element method. J. Comput. Phys. 294, 208223.

A. M. Zhang , S. P. Wang , C. Huang  & B Wang 2013 Influences of initial and boundary conditions on underwater explosion bubble dynamics. Eur. J. Mech. (B/Fluids) 42, 6991.

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