Multibubble cavitation inception

The inception of cavitation in multibubble cases is studied numerically and theoretically to show that it is different from that in single-bubble cases in several aspects. Using a multibubble model based on the Rayleigh–Plesset equation with an acoustic interaction term, we confirmed that the recently reported suppression of cavitation inception due to the interaction of nonidentical bubbles can take place not only in liquid mercury but also in water, and we found that a relatively large bubble can significantly decrease the cavitation threshold pressure of a nearby small bubble. By examining in detail the transition region where the dynamics of the suppressed bubble changes drastically as the interbubble distance changes, we determined that the explosive expansion of a bubble under negative pressure can be interrupted and turn into collapse even though the far-field liquid pressure well exceeds the bubble’s threshold pressure. Numerical results suggest that the interruption of expansion occurs when the b...

[1]  M. Ida.  Phase properties and interaction force of acoustically interacting bubbles: A complementary study of the transition frequency , 2005 .

[2]  Douglas L. Miller,et al.  Sonoporation: Mechanical DNA Delivery by Ultrasonic Cavitation , 2002, Somatic cell and molecular genetics.

[3]  A. Shima.  The Natural Frequencies of Two Spherical Bubbles Oscillating in Water , 1971 .

[4]  T. Kaper,et al.  On acoustic cavitation of slightly subcritical bubbles , 1997 .

[5]  Teruyuki Kozuka,et al.  Strongly interacting bubbles under an ultrasonic horn. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  T. Naoe,et al.  Direct observation and theoretical study of cavitation bubbles in liquid mercury. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  M. Ida.  Investigation of Transition Frequencies of Two Acoustically Coupled Bubbles Using a Direct Numerical Simulation Technique , 2001, physics/0111138.

[8]  L. G. Leal,et al.  NONLINEAR BUBBLE DYNAMICS , 1997 .

[9]  T. Naoe,et al.  Suppression of cavitation inception by gas bubble injection: a numerical study focusing on bubble-bubble interaction. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  A. Prosperetti,et al.  Bubble Dynamics and Cavitation , 1977 .

[11]  M. Ida.  Alternative interpretation of the sign reversal of secondary Bjerknes force acting between two pulsating gas bubbles. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  A. Ooi,et al.  Coupled nonlinear oscillations of microbubbles , 2005 .

[13]  J. T. S. Ma,et al.  Effect of initial air content on the dynamics of bubbles in liquids , 1962 .

[14]  F. Avellan,et al.  Cavitation bubble behavior inside a liquid jet , 2007 .

[15]  D. Lohse,et al.  Superstability of surface nanobubbles. , 2007, Physical review letters.

[16]  L. Gary Leal,et al.  THE ONSET OF CHAOTIC OSCILLATIONS AND RAPID GROWTH OF A SPHERICAL BUBBLE AT SUBCRITICAL CONDITIONS IN AN INCOMPRESSIBLE LIQUID , 1991 .

[17]  Ronald A. Roy,et al.  Applications of Acoustics and Cavitation to Noninvasive Therapy and Drug Delivery , 2008 .

[18]  Ali Nadim,et al.  Coupled pulsation and translation of two gas bubbles in a liquid , 2001, Journal of Fluid Mechanics.

[19]  L. H. Thompson,et al.  Sonochemistry: Science and Engineering , 1999 .

[20]  Zhen Ye,et al.  ACOUSTIC LOCALIZATION IN BUBBLY LIQUID MEDIA , 1998 .

[21]  L. Rayleigh.  VIII. On the pressure developed in a liquid during the collapse of a spherical cavity , 1917 .

[22]  R. Smith,et al.  A Photographic Study of the Effect of an Air Bubble on the Growth and Collapse of a Vapor Bubble Near a Surface , 1972 .

[23]  Knud Aage Mørch,et al.  Cavitation inception by almost spherical solid particles in water , 2003 .

[24]  T. Naoe,et al.  Cavitation damage reduction by microbubble injection , 2008 .

[25]  K. Mørch,et al.  Energy considerations on the collapse of cavity clusters , 1982 .

[26]  S. Emelianov,et al.  Nonlinear bubble dynamics in viscoelastic media , 2003 .

[27]  Viscous effects on the interaction force between two small gas bubbles in a weak acoustic field. , 2002, The Journal of the Acoustical Society of America.

[28]  Georges L. Chahine,et al.  A singular-perturbation theory of the growth of a bubble cluster in a superheated liquid , 1985, Journal of Fluid Mechanics.

[29]  A. Doinikov,et al.  Translational motion of two interacting bubbles in a strong acoustic field. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Detlef Lohse,et al.  Interaction of cavitation bubbles on a wall , 2006 .

[31]  Z. Ye.  A note on nonlinear radiation from a gas bubble in liquids , 1997 .

[32]  Y. Matsumoto,et al.  Influence of Homogeneous Condensation Inside a Small Gas Bubble on Its Pressure Response , 1985 .

[33]  H. Kato,et al.  A new modelling of cavitating flows: a numerical study of unsteady cavitation on a hydrofoil section , 1992, Journal of Fluid Mechanics.

[34]  A. Prosperetti,et al.  A generalization of the impulse and virial theorems with an application to bubble oscillations , 1990, Journal of Fluid Mechanics.

[35]  Frédéric Caupin,et al.  Cavitation in water: a review , 2006 .

[36]  M. Kafesaki,et al.  Air bubbles in water: a strongly multiple scattering medium for acoustic waves. , 2000, Physical review letters.

[37]  Ulrich Parlitz,et al.  Bjerknes forces between small cavitation bubbles in a strong acoustic field , 1997 .

[38]  Roman Samulyak,et al.  Direct Numerical Simulation of Bubbly Flows and Application to Cavitation Mitigation , 2007 .

[39]  Hsueh-Chia Chang,et al.  Growth of a gas bubble in a viscous fluid , 1986 .

[40]  A characteristic frequency of two mutually interacting gas bubbles in an acoustic field , 2001, physics/0111133.

[41]  Lawrence A. Crum,et al.  Bjerknes forces on bubbles in a stationary sound field , 1975 .

[42]  Parlitz,et al.  Towards a theory of self-organization phenomena in bubble-liquid mixtures. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[43]  U. Parlitz,et al.  Structure formation in cavitation bubble fields , 1995 .

[44]  Yi Chun Wang,et al.  Numerical Computation of Shock Waves in a Spherical Cloud of Cavitation Bubbles , 1999 .

[45]  D. Lohse,et al.  Effect of nuclei concentration on cavitation cluster dynamics. , 2007, The Journal of the Acoustical Society of America.

[46]  C. Brennen.  Cavitation and Bubble Dynamics , 1995 .

[47]  S. Fujikawa,et al.  Dynamics of a Cluster of Bubbles in a Liquid : Theoretical Analysis , 1994 .