Multibubble cavitation inception

Ida, Masato

doi:10.1063/1.3265547

Cited by 38 publications

(26 citation statements)

References 53 publications

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“…For the multibubble model, the modified Rayleigh-Plesset equation Ida, 2009] is used. With N b the number of bubbles, this equation, rewritten with the variable flow rate, is:…”

Section: Multibubble Cavitation Modelmentioning

confidence: 99%

Interactions by Exchange of Volume Between Two Spherical Bubbles

Maiga

Coutier-Delgosha

Buisine

2014

Int. J. Appl. Mechanics

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. In this paper, by using the system potential of two bubbles and with a special interest in the interaction by exchange of volume and without exchange of mass, a system of equations governing the evolution of two bubbles is proposed. This two-bubble model shows terms that do not appear in the models of interaction between bubbles. The twobubble model is compared with the modified Rayleigh-Plesset equation and a validation with the experimental study of Ohl [2002] is presented. The numerical results show that, on one hand, the development of small nearby bubbles can slow down the evolution of the biggest local one, while their disappearance can favor its growing. Furthermore, in the case of two bubbles in particular, the small bubble exchanges volume with the big one during their evolutions. On the other hand, contrary to the modified Rayleigh-Plesset model, the two-bubble model predicts appearance and disappearance of small bubbles in the neighborhood of the big bubble as it is observed in the experimental study of Ohl [2002].The present findings show in particular that the interaction by exchange of volume can be very important in the cavitation born phase and it is necessary to take into account the interaction between bubbles as well as the disappearance of small ones on the evolution of the biggest local bubble. Also, this two-bubble model predicts an exchange of volume between both bubbles equal to zero when they are perfectly identical.

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“…For the multibubble model, the modified Rayleigh-Plesset equation Ida, 2009] is used. With N b the number of bubbles, this equation, rewritten with the variable flow rate, is:…”

Section: Multibubble Cavitation Modelmentioning

confidence: 99%

Interactions by Exchange of Volume Between Two Spherical Bubbles

Maiga

Coutier-Delgosha

Buisine

2014

Int. J. Appl. Mechanics

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“…Subsequent research has looked into the effects of multiple scattering, nonlinearity, compressibility, shape oscillations, the coupling with the translation of the bubbles, and dual-frequency driving [36,37,11,31,3,16,35,44,21,46]. Suggestions have been made to use the force to manipulate bubbles as carriers of micro-devices [18,24,1].…”

Section: Introductionmentioning

confidence: 99%

The secondary Bjerknes force between two oscillating bubbles in Kelvin-Voigt-type viscoelastic fluids driven by harmonic ultrasonic pressure

Chen

Lai

Chen

et al. 2019

Ultrasonics Sonochemistry

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The interaction between two small bubbles experiencing transient cavitation in a nonlinear Kelvin-Voigt fluid is investigated. The time-delay effect in the interaction is incorporated in the coupled Keller-Miksis model. The refined model predicts that bubbles with radii smaller than 2µm will be repelled by large bubbles, in contrast to predictions from previous models. The matching pressure needed to obtain same level of transient cavitation in different Kelvin-Voigt fluids is shown to depend mainly on the shear modulus and is insensitive to other parameters, which makes it a useful parameter to correlate the results. When the radii of the bubbles fall between 4µm and 6µm, the secondary Bjerknes force obtained with matching pressures shows only weak dependence on the shear modulus. For the pressure amplitudes investigated, equilibrium distances can be found between two bubbles when the equilibrium radius of one of the bubbles is in a narrow range around 2µm. The equilibrium distance decreases when the shear modulus is increased. A simple relation between the two quantities is established.

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“…The high aggressiveness of cloud cavitation was reported by several researchers (e.g. [3][4][5][6]). It is now understood that the cloud plays a key role in the temporal and spatial energy focusing cascade which is essential for the cavitation erosion process.…”

Section: Introductionmentioning

confidence: 98%

On the Kinematics of Sheet and Cloud Cavitation and Related Erosion

Pelz

Keil

Ludwig

2014

Advanced Experimental and Numerical Techniques for Cavitation Erosion Prediction

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The influence of flow parameters such as cavitation number and Reynolds number on the cavitating cloud behavior and aggressiveness is analysed in an experimental work. The focused geometry is a convergent-divergent nozzle with a given radius of curvature at the minimum cross section. By means of a highspeed camera the kinematics of cloud cavitation is visualized. The shape of the cloud is a horse shoe (U-shaped) with two legs ending at the material surface which is in agreement with the Helmholtz vortex theorem. Indeed it is worthwhile to look at the cavitation cloud as a ring vortex whose second half is a mirror vortex within the material. Due to the convection flow, the legs of the vortex are elongated and hence the rotational speed of the vortex core will increase. Thus cavitation bubbles will concentrate within the legs of the vortex and that behavior is observed in the cavitation experiments. The aggressiveness of the cloud is quantified by using soft metal inserts adapted on the nozzle geometry. The interpretation of the plastic deformation, called pits, is done with a 2-dimensional optical measurement system, which is developed to scan large and curved surfaces. In this way damage maps are obtained. Consequently dimensional analysis is used to analyse and generalize the experimental results. Thus a critical Reynolds number is found for the transition from sheet to cloud cavitation. Further an upper limit for the Strouhal number exists for the given geometry. A physical model for the critical Reynolds number is given elsewhere [1]. Also a model for the dynamics of the observed stretched cloud with circulation is published by Buttenbender and Pelz [2].

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Multibubble cavitation inception

Cited by 38 publications

References 53 publications

Interactions by Exchange of Volume Between Two Spherical Bubbles

Interactions by Exchange of Volume Between Two Spherical Bubbles

The secondary Bjerknes force between two oscillating bubbles in Kelvin-Voigt-type viscoelastic fluids driven by harmonic ultrasonic pressure

On the Kinematics of Sheet and Cloud Cavitation and Related Erosion

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