Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer
The aim of the paper is a theoretical analysis of propagation of high-intensity acoustic waves throughout a bubble layer. A simple model in the form of a layer with uniformly distributed mono-size spherical bubbles is considered. The mathematical model of the pressure wave’s propagation in a bubbl...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2013-10-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/93 |
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| author | Anna BARANOWSKA |
| author_facet | Anna BARANOWSKA |
| author_sort | Anna BARANOWSKA |
| collection | DOAJ |
| description | The aim of the paper is a theoretical analysis of propagation of high-intensity acoustic waves throughout
a bubble layer. A simple model in the form of a layer with uniformly distributed mono-size spherical
bubbles is considered. The mathematical model of the pressure wave’s propagation in a bubbly liquid
layer is constructed using the linear non-dissipative wave equation and assuming that oscillations of
a single bubble satisfy the Rayleigh-Plesset equation. The models of the phase sound speed, changes of
resonant frequency of bubbles and damping coefficients in a bubbly liquid are compared and discussed. The
relations between transmitted and reflected waves and their second harmonic amplitudes are analyzed.
A numerical analysis is carried out for different environmental parameters such as layer thicknesses and
values of the volume fraction as well as for different parameters of generated signals. Examples of results
of the numerical modeling are presented. |
| format | Article |
| id | doaj-art-7b287993b6214e8090de1f1c8127ed84 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2013-10-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-7b287993b6214e8090de1f1c8127ed842025-08-20T02:39:15ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2013-10-01373Theoretical Studies of Nonlinear Generation Efficiency in a Bubble LayerAnna BARANOWSKA0Faculty of Applied Physics and Mathematics Gdańsk University of TechnologyThe aim of the paper is a theoretical analysis of propagation of high-intensity acoustic waves throughout a bubble layer. A simple model in the form of a layer with uniformly distributed mono-size spherical bubbles is considered. The mathematical model of the pressure wave’s propagation in a bubbly liquid layer is constructed using the linear non-dissipative wave equation and assuming that oscillations of a single bubble satisfy the Rayleigh-Plesset equation. The models of the phase sound speed, changes of resonant frequency of bubbles and damping coefficients in a bubbly liquid are compared and discussed. The relations between transmitted and reflected waves and their second harmonic amplitudes are analyzed. A numerical analysis is carried out for different environmental parameters such as layer thicknesses and values of the volume fraction as well as for different parameters of generated signals. Examples of results of the numerical modeling are presented.https://acoustics.ippt.pan.pl/index.php/aa/article/view/93nonlinear acousticsbubble layertransmitted and reflected waves |
| spellingShingle | Anna BARANOWSKA Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer Archives of Acoustics nonlinear acoustics bubble layer transmitted and reflected waves |
| title | Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer |
| title_full | Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer |
| title_fullStr | Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer |
| title_full_unstemmed | Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer |
| title_short | Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer |
| title_sort | theoretical studies of nonlinear generation efficiency in a bubble layer |
| topic | nonlinear acoustics bubble layer transmitted and reflected waves |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/93 |
| work_keys_str_mv | AT annabaranowska theoreticalstudiesofnonlineargenerationefficiencyinabubblelayer |