Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation
The nonlinear interaction of wave and non-wave modes in a gas planar flow are considered. Attention is mainly paid to the case when one sound mode is dominant and excites the counter-propagating sound mode and the entropy mode. The modes are determined by links between perturbations of pressure, den...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research Polish Academy of Sciences
2019-07-01
|
| Series: | Archives of Acoustics |
| Subjects: | |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2495 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849415552551878656 |
|---|---|
| author | Anna PERELOMOVA |
| author_facet | Anna PERELOMOVA |
| author_sort | Anna PERELOMOVA |
| collection | DOAJ |
| description | The nonlinear interaction of wave and non-wave modes in a gas planar flow are considered. Attention is mainly paid to the case when one sound mode is dominant and excites the counter-propagating sound mode and the entropy mode. The modes are determined by links between perturbations of pressure, density, and fluid velocity. This definition follows from the linear conservation equations in the differential form and thermodynamic equations of state. The leading order system of coupling equations for interacting modes is derived. It consists of diffusion inhomogeneous equations. The main aim of this study is to identify the principle features of the interaction and to establish individual contributions of attenuation (mechanical and thermal attenuation) in the solution to the system. |
| format | Article |
| id | doaj-art-31473bc6158a4e71bbec454877b66d51 |
| institution | Kabale University |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2019-07-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-31473bc6158a4e71bbec454877b66d512025-08-20T03:33:31ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2019-07-0144310.24425/aoa.2019.129270Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal AttenuationAnna PERELOMOVA0Technical University of GdanskThe nonlinear interaction of wave and non-wave modes in a gas planar flow are considered. Attention is mainly paid to the case when one sound mode is dominant and excites the counter-propagating sound mode and the entropy mode. The modes are determined by links between perturbations of pressure, density, and fluid velocity. This definition follows from the linear conservation equations in the differential form and thermodynamic equations of state. The leading order system of coupling equations for interacting modes is derived. It consists of diffusion inhomogeneous equations. The main aim of this study is to identify the principle features of the interaction and to establish individual contributions of attenuation (mechanical and thermal attenuation) in the solution to the system.https://acoustics.ippt.pan.pl/index.php/aa/article/view/2495nonlinear wave theorynonlinear acousticscoupling dynamic equationsBurgers equationdiffusion equation |
| spellingShingle | Anna PERELOMOVA Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation Archives of Acoustics nonlinear wave theory nonlinear acoustics coupling dynamic equations Burgers equation diffusion equation |
| title | Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation |
| title_full | Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation |
| title_fullStr | Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation |
| title_full_unstemmed | Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation |
| title_short | Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation |
| title_sort | nonlinear interaction of modes in a planar flow of a gas with viscous and thermal attenuation |
| topic | nonlinear wave theory nonlinear acoustics coupling dynamic equations Burgers equation diffusion equation |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2495 |
| work_keys_str_mv | AT annaperelomova nonlinearinteractionofmodesinaplanarflowofagaswithviscousandthermalattenuation |