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Waves induced by a submerged moving dipole in a two-layer fluid of finite depth
Authors:Email author" target="_blank">Gang?WeiEmail author  Dongqiang?Lu  Shiqiang?Dai
Institution:(1) School of Naval Architecture and Ocean Engineering, Shanghai Jiaotong University, Shanghai, 200030, China;(2) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China
Abstract:The waves induced by a moving dipole in a two-fluid system are analytically and experimentally investigated. The velocity potential of a dipole moving horizontally in the lower layer of a two-layer fluid with finite depth is derived by superposing Greenrsquos functions of sources (or sinks). The far-field waves are studied by using the method of stationary phase. The effects of two resulting modes, i.e. the surface- and internal-wave modes, on both the surface divergence field and the interfacial elevation are analyzed. A laboratory study on the internal waves generated by a moving sphere in a two-layer fluid is conducted in a towing tank under the same conditions as in the theoretical approach. The qualitative consistency between the present theory and the laboratory study is examined and confirmed.The project supported by the National Natural Science Foundation of China (10172059) and the National Laboratory on Hydrodynamics (51443030103QT0601).
Keywords:Divergence field  Internal wave  Small density difference  Greenrsquos function" target="_blank">gif" alt="rsquo" align="BASELINE" BORDER="0">s function  The method of stationary phase
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