INTERNAL WAVES IN TWO-LAYER STRATIFIED FLOWS
This paper deals with a problem of internal waves in a two-layer stratified fluid with a density that depends exponentially on the depth inside the layers and has a jump at the interface. The equation of second-order long-wave approximation, which describes solitary waves, is derived. The spectral p...
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| Veröffentlicht in: | Journal of applied mechanics and technical physics 2022-12, Vol.63 (6), p.1022-1029 |
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| container_issue | 6 |
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| container_title | Journal of applied mechanics and technical physics |
| container_volume | 63 |
| creator | Makarenko, N. I. Maltseva, J. L. Cherevko, A. A. |
| description | This paper deals with a problem of internal waves in a two-layer stratified fluid with a density that depends exponentially on the depth inside the layers and has a jump at the interface. The equation of second-order long-wave approximation, which describes solitary waves, is derived. The spectral properties of the equations of small perturbations of a horizontal piecewise constant flow are studied, and possible mechanisms for the shear instability of a stratified flow are characterized. |
| doi_str_mv | 10.1134/S0021894422060153 |
| format | Article |
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I. ; Maltseva, J. L. ; Cherevko, A. A.</creator><creatorcontrib>Makarenko, N. I. ; Maltseva, J. L. ; Cherevko, A. A.</creatorcontrib><description>This paper deals with a problem of internal waves in a two-layer stratified fluid with a density that depends exponentially on the depth inside the layers and has a jump at the interface. The equation of second-order long-wave approximation, which describes solitary waves, is derived. The spectral properties of the equations of small perturbations of a horizontal piecewise constant flow are studied, and possible mechanisms for the shear instability of a stratified flow are characterized.</description><identifier>ISSN: 0021-8944</identifier><identifier>EISSN: 1573-8620</identifier><identifier>DOI: 10.1134/S0021894422060153</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Applications of Mathematics ; Classical and Continuum Physics ; Classical Mechanics ; Flow stability ; Fluid- and Aerodynamics ; Internal waves ; Kelvin-Helmholtz instability ; Mathematical Modeling and Industrial Mathematics ; Mechanical Engineering ; Perturbation ; Physics ; Physics and Astronomy ; Solitary waves ; Stratified flow</subject><ispartof>Journal of applied mechanics and technical physics, 2022-12, Vol.63 (6), p.1022-1029</ispartof><rights>Pleiades Publishing, Ltd. 2023</rights><rights>Pleiades Publishing, Ltd. 2023.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c268t-2d9404fa0b60e5e8e326629a6775b4fdee16ab0158c010e6bf581358640b938d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0021894422060153$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0021894422060153$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids></links><search><creatorcontrib>Makarenko, N. I.</creatorcontrib><creatorcontrib>Maltseva, J. L.</creatorcontrib><creatorcontrib>Cherevko, A. A.</creatorcontrib><title>INTERNAL WAVES IN TWO-LAYER STRATIFIED FLOWS</title><title>Journal of applied mechanics and technical physics</title><addtitle>J Appl Mech Tech Phy</addtitle><description>This paper deals with a problem of internal waves in a two-layer stratified fluid with a density that depends exponentially on the depth inside the layers and has a jump at the interface. The equation of second-order long-wave approximation, which describes solitary waves, is derived. The spectral properties of the equations of small perturbations of a horizontal piecewise constant flow are studied, and possible mechanisms for the shear instability of a stratified flow are characterized.</description><subject>Applications of Mathematics</subject><subject>Classical and Continuum Physics</subject><subject>Classical Mechanics</subject><subject>Flow stability</subject><subject>Fluid- and Aerodynamics</subject><subject>Internal waves</subject><subject>Kelvin-Helmholtz instability</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mechanical Engineering</subject><subject>Perturbation</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Solitary waves</subject><subject>Stratified flow</subject><issn>0021-8944</issn><issn>1573-8620</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kE9Pg0AUxDdGE7H6AbyReBV9-_YPy5FUqCQEkoI2njZQFmOjpe62B7-9NJh4MJ7eYeY38zKEXFO4o5Tx-woAqYo4RwQJVLAT4lERskBJhFPiHeXgqJ-TC-c2ABApGnrkNivqZFnEub-Kn5PKzwq_XpVBHr8kS7-ql3GdpVny4Kd5uaouyVnfvDtz9XNn5ClN6vljkJeLbB7nwRql2gfYRRx430ArwQijDEMpMWpkGIqW950xVDbt-KRaAwUj214oyoSSHNqIqY7NyM2Uu7PD58G4vd4MB7sdKzWGChEFF3x00cm1toNz1vR6Z98-GvulKejjKPrPKCODE-NG7_bV2N_k_6Fvmedcew</recordid><startdate>20221201</startdate><enddate>20221201</enddate><creator>Makarenko, N. 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| ispartof | Journal of applied mechanics and technical physics, 2022-12, Vol.63 (6), p.1022-1029 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Applications of Mathematics Classical and Continuum Physics Classical Mechanics Flow stability Fluid- and Aerodynamics Internal waves Kelvin-Helmholtz instability Mathematical Modeling and Industrial Mathematics Mechanical Engineering Perturbation Physics Physics and Astronomy Solitary waves Stratified flow |
| title | INTERNAL WAVES IN TWO-LAYER STRATIFIED FLOWS |
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