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Diffraction of Water Waves by A Vertically Floating Cylinder in A Two-Layer Fluid
作者姓名:石强  尤云祥  缪国平
作者单位:Key Laboratory of Ocean Engineering School of Naval Architecture Ocean and Civil Engineering,Shanghai Jiao Tong University,Key Laboratory of Ocean Engineering School of Naval Architecture Ocean and Civil Engineering,Shanghai Jiao Tong University,Key Laboratory of Ocean Engineering School of Naval Architecture Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200030 China,Shanghai 200030 China,Shanghai 200030 China
基金项目:国家自然科学基金,国家高技术研究发展计划(863计划)
摘    要:In this paper, the diffraction of water waves by a vertically floating cylinder in a two-layer fluid of a finite depth is studied. Analytical expressions for the hydrodynamic loads on the vertically floating cylinder are obtained by use of the method of eigenfunction expansions. The hydrodynamic loads on the vertically floating cylinder in a two-layer fluid inelude not only the surge, heave and pitch exciting forces due to the incident wave of the surface-wave mode, but also those due to the incident wave of the internal-wave mode. This is different from the case of a homogenous fluid. Some given examples show that, for a two-layer fluid system with a small density difference, the hydrodynamic loads for the surface-wave mode do not differ significantly from those due to surface waves in a single-layer fluid, but the hydrodynamic loads for the internal-wave mode are important over a wide range of frequencies. Moreover, also considered are the free surface and interface elevations generated by the diffraction wave due to the incident wave of the surface-wave and interhal-wave modes, and transfer of energy between modes.

关 键 词:二层流体  水波  水力载荷  表面波模式

Diffraction of Water Waves by A Vertically Floating Cylinder in A Two-Layer Fluid
SHI Qiang,YOU Yun-xiang,MIAO Guo-ping.Diffraction of Water Waves by A Vertically Floating Cylinder in A Two-Layer Fluid[J].China Ocean Engineering,2008,22(2):181-193.
Authors:SHI Qiang  YOU Yun-xiang  MIAO Guo-ping
Institution:State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, China
Abstract:In this paper, the diffraction of water waves by a vertically floating cylinder in a two-layer luid of a finite depth is studied. Analytical expressions for the hydrodynamic loads on the vertically floating cylinder are obtained by use of the method of eigenfunction expansions. The hydrodynamic loads on the vertically floating cylinder in a two-layer fluid include not only the surge, heave and pitch exciting forces due to the incident wave of the surface-wave mode, but also those due to the incident wave of the internal-wave mode. This is different from the case of a homogenous fluid. Some given examples show that, for a two-layer fluid system with a small density difference, the hydrodynamic loads for the surface-wave mode do not differ significantly from those due to surface waves in a single-layer fluid, but the hydrodynamic loads for the internal-wave mode are important over a wide range of frequencies. Moreover, also considered are the free surface and interface elevations generated by the diffraction wave due to the incident wave of the surface-wave and internal-wave modes, and transfer of energy between modes.
Keywords:two-layer fluid  vertically floating cylinder  hydrodynamic loads  surface-wave mode  internal-wave mode
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