Bjerknes forces between small cavitation bubbles in a strong acoustic field

Mettin, Robert; Akhatov, Iskander; Parlitz, Ulrich; Ohl, Claus‐Dieter; Lauterborn, Werner

doi:10.1103/physreve.56.2924

Cited by 365 publications

(357 citation statements)

References 14 publications

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“…Interactions between bubbles and their emitted sound fields will be very important above a certain volume fraction of gas, which may be as low as 10 Ϫ5 (Marsh et al, 1998). These interactions take on a plethora of different shapes, such as secondary Bjerknes forces (Brennen, 1995;Mettin et al, 1997), bubble shadowing (Marsh et al, 1998), collective bubble collapses (Brennen, 1995), or collective bubble translation (streamers; Akhatov et al, 1996). In addition, multibubble applications always have to deal with the interaction of bubbles with boundaries, be they hard (as in materials science) or soft (as in biological and medical contexts).…”

Section: E Multibubble Fields: In Search Of a Theorymentioning

confidence: 99%

Single-bubble sonoluminescence

2002

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Single-bubble sonoluminescence occurs when an acoustically trapped and periodically driven gas bubble collapses so strongly that the energy focusing at collapse leads to light emission. Detailed experiments have demonstrated the unique properties of this system: the spectrum of the emitted light tends to peak in the ultraviolet and depends strongly on the type of gas dissolved in the liquid; small amounts of trace noble gases or other impurities can dramatically change the amount of light emission, which is also affected by small changes in other operating parameters (mainly forcing pressure, dissolved gas concentration, and liquid temperature). This article reviews experimental and theoretical efforts to understand this phenomenon. The currently available information favors a description of sonoluminescence caused by adiabatic heating of the bubble at collapse, leading to partial ionization of the gas inside the bubble and to thermal emission such as bremsstrahlung. After a brief historical review, the authors survey the major areas of research: Section II describes the classical theory of bubble dynamics, as developed by Rayleigh, Plesset, Prosperetti, and others, while Sec. III describes research on the gas dynamics inside the bubble. Shock waves inside the bubble do not seem to play a prominent role in the process. Section IV discusses the hydrodynamic and chemical stability of the bubble. Stable single-bubble sonoluminescence requires that the bubble be shape stable and diffusively stable, and, together with an energy focusing condition, this fixes the parameter space where light emission occurs. Section V describes experiments and models addressing the origin of the light emission. The final section presents an overview of what is known, and outlines some directions for future research. CONTENTS

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Section: E Multibubble Fields: In Search Of a Theorymentioning

confidence: 99%

Single-bubble sonoluminescence

2002

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“…Comparison of this destruction of the foil with the distribution of the VDPCE shows that the model is applicable even in the presence of several independent waves in the liquid, if the oscillations are the coherent. By phenomenological description of this model can explain fact of the dependence of pressure, achieved on collapse of a bubble from the size of the all cavitation field which is established, for example, in [16,38]. The parameters N or D, R 0 and P* -the constants, that characterize a specific liquid and its behavior in cavitation process.…”

Section: Discussion Of Results Of the Computational Experiments Withmentioning

confidence: 99%

“…Acoustic cavitation it is ripple of the vapor-gas bubbles which concentrated under the action of the ponderomotive and hydrodynamic forces in the so-called cavitation areas near antinodes of sound pressure, where it amplitude in elastic wave in the liquid exceeds a certain threshold [1,2,3]. They produce the cavitation noise (the secondary sound).…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model of Multibubble Cavitation into Sonochemical Reactor

Shestakov¹

2014

AJMO

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The research described in this paper shows that main parameter of acoustic cavitation which should be used for practical applications this phenomenon, are not the temperatures of plasma into the cavitation bubbles (the intensity of son luminescence), but the power of pressure pulses, which they produce, and which cause destruction of phases existing in a liquid (the intensity of erosion). The distribution of the density power of erosion in space can be the subject of numerically simulated, if it is assumed that process of multibubble cavitation is an ergodic process. For this the integral of pressure superposition from all bubbles of cavitation field at any point in space, must be approximated by the function of the pressure pulse on the surface of a single cavitation bubble, that pulsate with a period equal to the period of oscillations of the harmonic wave. This superposition of pressure can be described using a two metrics of space, which are belongs to this point. The first -the average distance from this a point until all points of the cavitation region. It determines the average time of arrival into this point of a total perturbation of pressure from all bubbles. The second -the average harmonic distance -determines the average coefficient of attenuation of this perturbation. The results of computational and laboratory experiments illustrate the adequacy and the applicability of model. The model makes it possible to quantitatively compare the results of physical and chemical effects of cavitation in the any liquids in the reactors of any size. The model also gives a sufficient degree of accuracy and reliability of performing the technical calculations for the design of such devices and the possibility to make comparative assessments of different reactors. Keywords

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“…32 It is found that the coupling of bubbles may lead to a variety of phenomena that a single bubble can never exhibit, such as attraction and repulsion of pulsating bubbles, 24,28,33,34 phase delays 35 and even coalescence. 36,37 However, most previous studies on BBI in these flow fields focused on the oscillations of bubbles at their static balance positions, which denote the positions of stationary bubbles when the inner pressure equals to the fluid pressure outside, instead of the translations of bubbles, so the effect of BBI on the motion equations of moving bubbles has been seldom considered.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, BBI have been extensively studied in various flow fields, such as in infinite flow field, 22,23 near the walls, [24][25][26] in homogeneous bubbly flows, 27 in a sound field [28][29][30][31] and under given pressure waves. 32 It is found that the coupling of bubbles may lead to a variety of phenomena that a single bubble can never exhibit, such as attraction and repulsion of pulsating bubbles, 24,28,33,34 phase delays 35 and even coalescence.…”

Section: Introductionmentioning

confidence: 99%

Bubble–bubble interaction effects on dynamics of multiple bubbles in a vortical flow field

Cui

2016

Advances in Mechanical Engineering

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Bubble-bubble interactions play important roles in the dynamic behaviours of multiple bubbles or bubble clouds in a vortical flow field. Based on the Rayleigh-Plesset equation and the modified Maxey-Riley equation of a single bubble, bubble-bubble interaction terms are derived and introduced for multiple bubbles. Thus, both the Rayleigh-Plesset and modified Maxey-Riley equations are improved by considering bubble-bubble interactions and then applied for the multiple bubbles entrainment into a stationary Gaussian vortex. Runge-Kutta fourth-order scheme is adopted to solve the coupled dynamic and kinematic equations and the convergence study has been conducted. Numerical result has also been compared and validated with the published experimental data. On this basis, the oscillation, trajectory and effects of different parameters of double-bubble and multi-bubble entrainment into Gaussian vortex have been studied and the results have been compared with those of the cases without bubble-bubble interactions. It indicates that bubble-bubble interactions influence the amplitudes and periods of bubble oscillations severely, but have small effects on bubble trajectories.

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Bjerknes forces between small cavitation bubbles in a strong acoustic field

Cited by 365 publications

References 14 publications

Single-bubble sonoluminescence

Single-bubble sonoluminescence

Mathematical Model of Multibubble Cavitation into Sonochemical Reactor

Bubble–bubble interaction effects on dynamics of multiple bubbles in a vortical flow field

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