{"title":"在靠近自由边界的流体中开始旋转","authors":"V. A. Batishchev","doi":"10.1134/S0021894423040089","DOIUrl":null,"url":null,"abstract":"<p>A system of Navier–Stokes equations is used to calculate rotational modes of thermocapillary fluid flows in a semi-infinite space bounded from above by a non-deformable free boundary, with a local temperature distribution specified on it. It is shown that, near the free boundary in the boundary layer, bifurcation causes rotational modes of fluid flows as this boundary is unevenly cooled. Secondary rotational modes are calculated, which form two families of solutions that depend on several parameters, two of which are not determined by external conditions.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"INITIATION OF ROTATION IN FLUID NEAR A FREE BOUNDARY\",\"authors\":\"V. A. Batishchev\",\"doi\":\"10.1134/S0021894423040089\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A system of Navier–Stokes equations is used to calculate rotational modes of thermocapillary fluid flows in a semi-infinite space bounded from above by a non-deformable free boundary, with a local temperature distribution specified on it. It is shown that, near the free boundary in the boundary layer, bifurcation causes rotational modes of fluid flows as this boundary is unevenly cooled. Secondary rotational modes are calculated, which form two families of solutions that depend on several parameters, two of which are not determined by external conditions.</p>\",\"PeriodicalId\":608,\"journal\":{\"name\":\"Journal of Applied Mechanics and Technical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-10-26\",\"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/S0021894423040089\",\"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/S0021894423040089","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
INITIATION OF ROTATION IN FLUID NEAR A FREE BOUNDARY
A system of Navier–Stokes equations is used to calculate rotational modes of thermocapillary fluid flows in a semi-infinite space bounded from above by a non-deformable free boundary, with a local temperature distribution specified on it. It is shown that, near the free boundary in the boundary layer, bifurcation causes rotational modes of fluid flows as this boundary is unevenly cooled. Secondary rotational modes are calculated, which form two families of solutions that depend on several parameters, two of which are not determined by external conditions.
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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