| WAVES GENERATED BY A SUBMERGED BODY MOVING IN STRATIFIED FLUIDS AND VERTICAL STRUCTURES OF INTERNAL WAVES |
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| 引用本文： | WEIGang DaiShi-qiang MiaoGuo-ping HuangSi-xun TaoMing-de LiBai-qi LiuYu-lu WangDao-zeng YouYun-xiang. WAVES GENERATED BY A SUBMERGED BODY MOVING IN STRATIFIED FLUIDS AND VERTICAL STRUCTURES OF INTERNAL WAVES[J]. 水动力学研究与进展(B辑), 2004, 16(1): 113-114 |
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| 作者姓名： | WEIGang DaiShi-qiang MiaoGuo-ping HuangSi-xun TaoMing-de LiBai-qi LiuYu-lu WangDao-zeng YouYun-xiang |
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| 作者单位： | [1]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China [2]ShanghaiUniversity,ShanghaiUniversity,Shanghai200072,China [3]ShanghaiJiaotongUniversity,Chairman [4]P.L.A.UniversityofScienceandTechnology,Chairman [5]FudanUniversity,Chairman [6]ChinaShipScientificResearchCenter,Chairman [7]ShanghaiJiaotongUniversity,Chairman |
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| 摘 要： | This dissertation deals with the internal waves generated by a submerged moving body in stratified fluids by combining theoretical and experimental methods. Our purpose is to provide some scientific evidences for non-acoustic detection of underwater moving bodies based on the principles of dynamics of the internal waves. An approach to velocity potentials obtained by superposing Green‘s functions of sources and sinks was proposed for Kelvin waves at the free surface or interface in a two-layer fluid. The effects of interacting surface and internal wave modes induced by a dipole on the surface divergence field were investigated. A new theoretical model formulating the interaction of a two dimensional submerged moving body with the conjugate flow in a three-layer fluid was established. An exact solution satisfying the two dimensional Benjamin Ono equation was obtained and the vertically propagating properties of the weakly nonlinear long waves were studied hy means of the ray theory and WKB method. The above theoretical results are qualitatively consistent with those obtained in the experiments conducted by the author.
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| 关 键 词： | 分层流体 内波 格林函数 开尔文波 Benjamin-Ono方程 流体力学 |
WAVES GENERATED BY A SUBMERGED BODY MOVING IN STRATIFIED FLUIDS AND VERTICAL STRUCTURES OF INTERNAL WAVES |
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| WEIGang. WAVES GENERATED BY A SUBMERGED BODY MOVING IN STRATIFIED FLUIDS AND VERTICAL STRUCTURES OF INTERNAL WAVES[J]. Journal of Hydrodynamics, 2004, 16(1): 113-114 |
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| Authors: | WEIGang |
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| Affiliation: | WEIGang Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China,Supervisor: Dai Shi-qiang |
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| Abstract: | This dissertation deals with the internal waves generated by a submerged moving body in stratified fluids by combining theoretical and experimental methods. Our purpose is to provide some scientific evidences for non-acoustic detection of underwater moving bodies based on the principles of dynamics of the internal waves. An approach to velocity potentials obtained by superposing Green's functions of sources and sinks was proposed for Kelvin waves at the free surface or interface in a two-layer fluid. The effects of interacting surface- and internal-wave modes induced by a dipole on the surface divergence field were investigated. A new theoretical model formulating the interaction of a two-dimensional submerged moving body with the conjugate flow in a three-layer fluid was established. An exact solution satisfying the two-dimensional Benjamin-Ono equation was obtained and the vertically propagating properties of the weakly nonlinear long waves were studied by means of the ray theory and WKB method. The above theoretical results are qualitatively consistent with those obtained in the experiments conducted by the author. |
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| Keywords: | stratified fluid internal wave Kelvin wave flat solitary wave algebraic solitary wave conjugate flow Green's function Benjamin-Ono equation |
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