Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles
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 acoust...
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2018
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ftdoajarticles:oai:doaj.org/article:8e30f611bbfe4b7db8eeb537ae41c368 2023-05-15T15:06:39+02:00 Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles Alexey Maksimov 2018-11-01T00:00:00Z https://doi.org/10.3390/fluids3040090 https://doaj.org/article/8e30f611bbfe4b7db8eeb537ae41c368 EN eng MDPI AG https://www.mdpi.com/2311-5521/3/4/90 https://doaj.org/toc/2311-5521 2311-5521 doi:10.3390/fluids3040090 https://doaj.org/article/8e30f611bbfe4b7db8eeb537ae41c368 Fluids, Vol 3, Iss 4, p 90 (2018) bubble symmetry toroidal and bi-spherical coordinates natural frequency radiation damping Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 article 2018 ftdoajarticles https://doi.org/10.3390/fluids3040090 2022-12-31T14:05:53Z 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. Article in Journal/Newspaper Arctic Directory of Open Access Journals: DOAJ Articles Arctic Fluids 3 4 90 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
bubble symmetry toroidal and bi-spherical coordinates natural frequency radiation damping Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 |
spellingShingle |
bubble symmetry toroidal and bi-spherical coordinates natural frequency radiation damping Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 Alexey Maksimov Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles |
topic_facet |
bubble symmetry toroidal and bi-spherical coordinates natural frequency radiation damping Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 |
description |
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. |
format |
Article in Journal/Newspaper |
author |
Alexey Maksimov |
author_facet |
Alexey Maksimov |
author_sort |
Alexey Maksimov |
title |
Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles |
title_short |
Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles |
title_full |
Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles |
title_fullStr |
Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles |
title_full_unstemmed |
Symmetry Approach in the Evaluation of the Effect of Boundary Proximity on Oscillation of Gas Bubbles |
title_sort |
symmetry approach in the evaluation of the effect of boundary proximity on oscillation of gas bubbles |
publisher |
MDPI AG |
publishDate |
2018 |
url |
https://doi.org/10.3390/fluids3040090 https://doaj.org/article/8e30f611bbfe4b7db8eeb537ae41c368 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
Fluids, Vol 3, Iss 4, p 90 (2018) |
op_relation |
https://www.mdpi.com/2311-5521/3/4/90 https://doaj.org/toc/2311-5521 2311-5521 doi:10.3390/fluids3040090 https://doaj.org/article/8e30f611bbfe4b7db8eeb537ae41c368 |
op_doi |
https://doi.org/10.3390/fluids3040090 |
container_title |
Fluids |
container_volume |
3 |
container_issue |
4 |
container_start_page |
90 |
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1766338208425050112 |