Journal Home Online First Current Issue Archive For Authors Journal Information 中文版

Strategic Study of CAE >> 2004, Volume 6, Issue 2

On Scattering and Radiation Problem for a Cylinder over a Cylindrical Barrier in Water of Finite Depth

1. University of Science and Technology of China , Hefei 230026 , China

2. Guangzhou Institute of Energy Conversion , Chinese Academy of Sciences , Guangzhou 510070 , China

Funding project:国家“八六三”计划资助项目(2001AA516010);中科院知识创新工程重要方向资助项目(KGCX2-SW-305) Received: 2003-07-20 Available online: 2004-02-20

Next Previous

Abstract

By use of an eigenfunction expansion method, the expressions for the properties of kinematics and kinetics, which are due to scattering and radiation for a floating vertical circular cylinder over a coaxial cylindrical barrier in water of finite depth, are derived in the presence of an incident linear waves. The radius of the barrier is larger than or equal to that of the floating vertical circular cylinder. This paper presents the analytical solution for the radiation potentials due to heave, surge, and pitch and for the diffraction potential due to the diffraction of an incident wave acting on the fixed cylinder. It also proposes a set of theoretical added masses, damping coefficients and exciting forces. The results of the expressions are the same as that of the cylinder over a cylindrical barrier, the radius of wich is the same as that of the cylinder, in water of finite depth for added masses, damping coefficients and exciting forces at the same condition. Two methods to calculate exciting forces are presented and the results of the methods are the same. Finally, Analytical results of added masses, damping coefficients and exciting forces are obtained for different size of the barrier.

Figures

图1

图10

图11

图12

图13

图14

图15

图2

图3

图4

图5

图6

图7

图8

图9

References

[ 1 ] Hagerman G, Heller T. Wave energy: a survey of twelve nearterm technologies[A]. Proceedings of the International Renewable Conference[C], Hawaii, 1998

[ 2 ] Su Yongling, You Yage, Zheng Yonghong. Investigation on the oscillating buoy wave power device[J]. China Ocean Engineering, 2002, 16 (1) :141~149

[ 3 ] Miles J W, Gilbert J F. Scattering of gravity waves by a circular dock[J]. Journal of Fluid Mechanics, 1968, 34:783~793

[ 4 ] Garrett C J R. Wave forces on a circular dock[J]. Journal of Fluid Mechanics, 1971, 46: 129~139

[ 5 ] YeungRW .Addedmassanddampingofaverticalcylinderinfinite depthwater[J], AppliedOceanResearch, 1981, 3 (3) :119~133

[ 6 ] WilliamsAN , AbulAzmAG .Hydrodynamicinteractionsinfloatingcylinderarrays———IIWaveradiation[J].OceanEngineering, 1989, 16 (3) :17~263

[ 7 ] Bhatta D D, Rahman M. On scattering and radiation problem for a cylinder in water of finite depth[J]. International Journal of Engineering Science, 2003, 41 (9) :931~967

[ 8 ] Black J L, Mei C C, Bray M C G. Radiation and scattering of water waves by rigid bodies[J]. J Fluid Mech ( Part 1) , 1971, 46: 151~164

[ 9 ] Berggren L , Johansson M. Hydrodynamic coefficients of a wave energy device consisting of a buoy and a submerged plate[J] . Applied Ocean Research, 1992, 14 (1) : 51~58

Related Research