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On diffraction and radiation problem for two cylinders in water of finite depth
Authors:BJ Wu  YH Zheng  YG You  DS Jie  Y Chen
Institution:aGuangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510070, China;bUniversity of Science and Technology of China, Hefei 230026, China
Abstract:The hydrodynamic problem arising form the interaction of linear water waves with a wave energy device consisting of two coaxial vertical cylinders of different radii is investigated. One cylinder is riding in waves, while another is submerged in fluid. By use of the method of separation of variables and the method of matched eigenfunction expansion, analytical expressions for the potentials are obtained. Using the expressions for the potentials, analytical expressions for the hydrodynamic coefficients and exciting forces/moments on the device are obtained. Numerical results of the hydrodynamic coefficients and exciting forces/moments are presented for some ratios of the radius of the submerged cylinder to that of the riding one. It is found that the radius of the submerged cylinder has a significant influence on the hydrodynamic coefficients and exciting forces/moments for relatively bigger radius of the submerged cylinder at low frequencies.
Keywords:Analytical approach  Velocity potential  Hydrodynamic coefficients  Exciting forces/moments
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