{"title":"两层分层流中的内波","authors":"N. I. Makarenko, J. L. Maltseva, A. A. Cherevko","doi":"10.1134/S0021894422060153","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"63 6","pages":"1022 - 1029"},"PeriodicalIF":0.5000,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"INTERNAL WAVES IN TWO-LAYER STRATIFIED FLOWS\",\"authors\":\"N. I. Makarenko, J. L. Maltseva, A. A. Cherevko\",\"doi\":\"10.1134/S0021894422060153\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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.</p>\",\"PeriodicalId\":608,\"journal\":{\"name\":\"Journal of Applied Mechanics and Technical Physics\",\"volume\":\"63 6\",\"pages\":\"1022 - 1029\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-03-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mechanics and Technical Physics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0021894422060153\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mechanics and Technical Physics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0021894422060153","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
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.
期刊介绍：
Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.
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