Oscillations of a gas inclusion near an interface

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

doi:10.1134/s1063771016060099

Cited by 6 publications

(4 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the first stage [44], we will analyze natural bubble oscillations, and, therefore, the right-hand side of Equation (28) does not contain the term describing the source. The choice of the Green's function in Equation (28) makes it possible to simplify considerably the procedure for finding the solution.…”

Section: Bubble Oscillations Near An Interface Between Two Liquidsmentioning

confidence: 99%

“…The first two terms of the expansion of the Green's function that appear in Equations (30) have the form [44]:…”

Section: Bubble Oscillations Near An Interface Between Two Liquidsmentioning

confidence: 99%

“…It suffices to substitute a general solution to the Laplace equation and explicit form of the Green's function into the integral equation. Thus, the zero-approximation solution takes on the form [44]:…”

Section: Bubble Oscillations Near An Interface Between Two Liquidsmentioning

confidence: 99%

“…This leads [44] to the modified Rayleigh Equation (26) in which the frequency Ω 0 * is replaced by Ω * b and ν r is replaced by ν…”

Section: Bubble Oscillations Near An Interface Between Two Liquidsmentioning

confidence: 99%

See 3 more Smart Citations

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

Maksimov

2018

Fluids

View full text Add to dashboard Cite

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.

show abstract

Section: Bubble Oscillations Near An Interface Between Two Liquidsmentioning

confidence: 99%

“…The first two terms of the expansion of the Green's function that appear in Equations (30) have the form [44]:…”

Section: Bubble Oscillations Near An Interface Between Two Liquidsmentioning

confidence: 99%

Section: Bubble Oscillations Near An Interface Between Two Liquidsmentioning

confidence: 99%

“…This leads [44] to the modified Rayleigh Equation (26) in which the frequency Ω 0 * is replaced by Ω * b and ν r is replaced by ν…”

Section: Bubble Oscillations Near An Interface Between Two Liquidsmentioning

confidence: 99%

See 2 more Smart Citations

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

Maksimov

2018

Fluids

View full text Add to dashboard Cite

show abstract

Radiation force on a bubble located near an interface

Maksimov

2022

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

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.

show abstract

Acoustic Manifestations of a Gas Inclusion Near an Interface

Maksimov

Polovinka

2018

Acoust. Phys.

View full text Add to dashboard Cite

Oscillations of a gas inclusion near an interface

Cited by 6 publications

References 31 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

Radiation force on a bubble located near an interface

Acoustic Manifestations of a Gas Inclusion Near an Interface

Contact Info

Product

Resources

About