Acoustic Manifestations of a Gas Inclusion Near an Interface

Maksimov, A. O.; Polovinka, Yu. A.

doi:10.1134/s106377101801013x

Cited by 6 publications

(2 citation statements)

References 15 publications

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“…It was shown above that the presence of internal symmetry, which leads to the existence of very specific coordinate systems, allows one to analytically describe the behavior of a tethered bubble or a bubble located at a close distance from the boundary. Unlike these results, which are applicable to the case of passive acoustic methods of bubble diagnostics, there were carried out additional studies, reported in the paper [47], which concern to active acoustic methods. The purpose of that study was to describe the effect of an interface between media with different mechanical properties on the acoustic response of a gas inclusion.…”

Section: Discussionmentioning

confidence: 99%

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Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles

Maksimov

2018

Fluids

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The purpose of the present review is to describe the effect of an interface between media with different mechanical properties on the acoustic response of a gas bubble. This is necessary to interpret sonar signals received from underwater gas seeps and mud volcanoes, as well as in the case of acoustic studies on the Arctic shelf where rising gas bubbles accumulate at the lower boundary of the ice cover. The ability to describe the dynamics of constrained bubble by analytical methods is related to the presence of internal symmetry in the governing equations. This leads to the presence of specific (toroidal and bi-spherical) coordinate systems in which the variables are separated. The existence of symmetry properties is possible only under certain conditions. In particular, the characteristic wavelength should be larger than the bubble size and the distance to an interface. The derived analytical solution allows us to determine how the natural frequency, radiation damping, and bubble shape depend on the distance to the boundary and the material parameters of contacting media.

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Section: Discussionmentioning

confidence: 99%

“…Although the results of [47] refer to a bubble located near the boundary, there are no fundamental limitations for transferring them to the case of a tethered bubble. Moreover, the case where the bubble is attached to the boundary at one point is described in this study.…”

Section: Discussionmentioning

confidence: 99%

Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles

Maksimov

2018

Fluids

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Theoretical investigation on resonance characteristics of a vapor bubble based on Laplace transform method

Wang

Gao

et al. 2023

Ultrasonics Sonochemistry

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Radiation force on a bubble located near an interface

Maksimov

2022

The Journal of the Acoustical Society of America

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The presence of a boundary produces marked changes in the oscillation amplitudes and types of bubble distortion modes excited by an external acoustic field. In the majority of cases, the radiation force can be determined based on the linearized equations of motion. Bispherical coordinates are used to obtain an analytical description of linearized bubble dynamics at distances from the interface comparable to those of the bubble size. In the limit of weak dissipation, explicit formulas have been derived that describe the dependence of the radiation force on the separation distance between the bubble and the interface, the material parameters of the contacting media, and the angle of incidence of the incoming wave. The component of the radiation force directed to the interface has been shown to exhibit qualitative changes when the direction of the incoming field passes through the angle of the total internal reflection.

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Acoustic Manifestations of a Gas Inclusion Near an Interface

Cited by 6 publications

References 15 publications

Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles

Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles

Theoretical investigation on resonance characteristics of a vapor bubble based on Laplace transform method

Radiation force on a bubble located near an interface

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