Radiation dynamics of a cavitation bubble in a liquid-filled cavity surrounded by an elastic solid

Drysdale, Catherine; Doinikov, Alexander A.; Marmottant, Philippe

doi:10.1103/physreve.95.053104

Cited by 11 publications

(38 citation statements)

References 21 publications

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“…In order to calculate the eigenfrequencies of the system of Eqs. (15) and (16), we set the external acoustic excitation equal to zero ( 0 ac P ) and exp( ) j j x a i t . As a result, Eqs.…”

Section: Linearized Equationsmentioning

confidence: 99%

“…In such cases, the natural frequency of a single bubble in a cavity is approximately equal to 1 given by Eq. (18) [13,15].…”

Section: Linearized Equationsmentioning

confidence: 99%

“…It has been shown in Refs. [15] and [16] that the resonance frequency of the system (a cavity with a bubble inside) decreases with decreasing bubble radius, in contrast to what occurs in an unbounded liquid, where the resonance frequency of a bubble increases with decreasing bubble radius. This result is explained by the fact that the dynamics of the system is governed by the solid environment rather than by the bubble.…”

Section: Introductionmentioning

confidence: 96%

“…The dependence of the resonance frequency on the material parameters of the system, such as the modulus of rigidity of the solid, is not trivial and therefore cannot be described in brief. A detailed analysis of the behavior of the resonance frequency in various limiting cases was performed by Drysdale et al [15]. As an interesting result, it should be mentioned that the resonance frequency does not become zero when the modulus of rigidity tends to infinity.…”

Section: Introductionmentioning

confidence: 99%

“…There are a number of theoretical studies on the dynamics of a single bubble in a spherical liquid-filled cavity surrounded by an infinite elastic solid [11][12][13][14][15][16]. In particular, it has been shown in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear dynamics of two coupled bubbles oscillating inside a liquid-filled cavity surrounded by an elastic medium

Doinikov¹,

Bienaimé²,

Gonzalez-Avila³

et al. 2019

Phys. Rev. E

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A theory is developed to model the nonlinear dynamics of two coupled bubbles inside a spherical liquid-filled cavity surrounded by an elastic medium. The aim is to study how the conditions of full confinement affect the coupled oscillations of the bubbles. To make the problem amenable to analytical consideration, the bubbles are assumed to be located on a diameter of the cavity, which makes the problem axisymmetric. Equations for the pulsation and translation motion of the bubbles are derived by the Lagrangian formalism. The derived equations are used in numerical simulations.The behavior of two bubbles in a cavity is compared with the behavior of the same bubbles in an unbounded liquid. It is found that both forced and free oscillations of two bubbles in a cavity occur differently than those in an unbounded liquid. In particular, it is shown that the eigenfrequencies of a two-bubble system in a cavity are different from those in an unbounded liquid.

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“…In order to calculate the eigenfrequencies of the system of Eqs. (15) and (16), we set the external acoustic excitation equal to zero ( 0 ac P ) and exp( ) j j x a i t . As a result, Eqs.…”

Section: Linearized Equationsmentioning

confidence: 99%

“…In such cases, the natural frequency of a single bubble in a cavity is approximately equal to 1 given by Eq. (18) [13,15].…”

Section: Linearized Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nonlinear dynamics of two coupled bubbles oscillating inside a liquid-filled cavity surrounded by an elastic medium

Doinikov¹,

Bienaimé²,

Gonzalez-Avila³

et al. 2019

Phys. Rev. E

Self Cite

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Natural oscillations of a gas bubble in a liquid-filled cavity located in a viscoelastic medium

Doinikov

Marmottant

2018

Journal of Sound and Vibration

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The present study is motivated by cavitation phenomena that occur in the stems of trees. The internal pressure in tree conduits can drop down to significant negative values. This drop gives rise to cavitation bubbles, which undergo high-frequency eigenmodes. The aim of the present study is to determine the parameters of the bubble natural oscillations. To this end, a theory is developed that describes the pulsation of a spherical bubble located at the center of a spherical cavity surrounded by an infinite solid medium. It is assumed that the medium inside the bubble is a gas-vapor mixture, the cavity is filled with a compressible viscous liquid, and the medium surrounding the cavity behaves as a viscoelastic solid. The theoretical solution takes into account the outgoing acoustic wave produced by the bubble pulsation, the incoming wave caused by reflection from the liquid-solid boundary, and the outgoing wave propagating in the solid. A dispersion equation for the calculation of complex wavenumbers of the bubble eigenmodes is derived. Approximate analytical solutions to the dispersion equation are found. Numerical simulations are performed to reveal the effect of different physical parameters on the resonance frequency and the attenuation coefficient of the bubble oscillations.

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Radial oscillation and translational motion of a gas bubble in a micro-cavity

Zhang

Wang

et al. 2022

Ultrasonics Sonochemistry

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Radiation dynamics of a cavitation bubble in a liquid-filled cavity surrounded by an elastic solid

Cited by 11 publications

References 21 publications

Nonlinear dynamics of two coupled bubbles oscillating inside a liquid-filled cavity surrounded by an elastic medium

Nonlinear dynamics of two coupled bubbles oscillating inside a liquid-filled cavity surrounded by an elastic medium

Natural oscillations of a gas bubble in a liquid-filled cavity located in a viscoelastic medium

Radial oscillation and translational motion of a gas bubble in a micro-cavity

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