{"title":"圆柱体在深层流体表面下的自由运动","authors":"A.E. Golikov, N.I. Makarenko","doi":"10.1134/S0021894424050067","DOIUrl":null,"url":null,"abstract":"<p>A nonlinear problem of unsteady motion of a circular cylinder in an ideal infinitely deep fluid under the action of arising hydrodynamic loads is considered. A method of reducing the solution of the initial mathematical problem to the solution of an equivalent integrodifferential system of equations for the function determining the shape of the sought free surface for the normal and tangential components of the fluid velocity on the free surface, and for the unknown trajectory of cylinder motion is used. The initial (in terms of time) asymptotic curve of the solution, which describes the cylinder motion from the state at rest is constructed.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"858 - 865"},"PeriodicalIF":0.5000,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"FREE MOTION OF A CYLINDER UNDER THE SURFACE OF A DEEP FLUID\",\"authors\":\"A.E. Golikov, N.I. Makarenko\",\"doi\":\"10.1134/S0021894424050067\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A nonlinear problem of unsteady motion of a circular cylinder in an ideal infinitely deep fluid under the action of arising hydrodynamic loads is considered. A method of reducing the solution of the initial mathematical problem to the solution of an equivalent integrodifferential system of equations for the function determining the shape of the sought free surface for the normal and tangential components of the fluid velocity on the free surface, and for the unknown trajectory of cylinder motion is used. The initial (in terms of time) asymptotic curve of the solution, which describes the cylinder motion from the state at rest is constructed.</p>\",\"PeriodicalId\":608,\"journal\":{\"name\":\"Journal of Applied Mechanics and Technical Physics\",\"volume\":\"65 5\",\"pages\":\"858 - 865\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2025-04-08\",\"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/S0021894424050067\",\"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/S0021894424050067","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
FREE MOTION OF A CYLINDER UNDER THE SURFACE OF A DEEP FLUID
A nonlinear problem of unsteady motion of a circular cylinder in an ideal infinitely deep fluid under the action of arising hydrodynamic loads is considered. A method of reducing the solution of the initial mathematical problem to the solution of an equivalent integrodifferential system of equations for the function determining the shape of the sought free surface for the normal and tangential components of the fluid velocity on the free surface, and for the unknown trajectory of cylinder motion is used. The initial (in terms of time) asymptotic curve of the solution, which describes the cylinder motion from the state at rest is constructed.
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.