Knowledge Management System Of Guangzhou Institute of Energy Conversion, CAS
Interaction of linear waves with an array of infinitely long horizontal circular cylinders in a two-layer fluid of infinite depth | |
Feng, B.1,2; Zheng, Y. H.1,3; You, Y. G.1,2; Wu, B. J.1,2; Sheng, S. W.1,2 | |
2008-07-01 | |
Source Publication | OCEAN ENGINEERING |
ISSN | 0029-8018 |
Volume | 35Issue:10Pages:963-982 |
Corresponding Author | fengbo@ms.giec.ac.cn |
Abstract | The linear water wave scattering and radiation by an array of infinitely long horizontal circular cylinders in a two-layer fluid of infinite depth is investigated by use of the multipole expansion method. The diffracted and radiated potentials are expressed as a linear combination of infinite multipoles placed at the centre of each cylinder with unknown coefficients to be determined by the cylinder boundary conditions. Analytical expressions for wave forces, hydrodynamic coefficients, reflection and transmission coefficients and energies are derived. Comparisons are made between the present analytical results and those obtained by the boundary element method, and some examples are presented to illustrate the hydrodynamic behavior of multiple horizontal circular cylinders in a two-layer fluid. It is found that for two submerged circular cylinders the influence of the fluid density ratio on internal-mode wave forces is more appreciable than surface-mode wave forces, and the periodic oscillations of hydrodynamic results occur with the increase of the distance between two cylinders; for four submerged circular cylinders the influence of adding two cylinders on the wave forces of the former cylinders is small in low and high wave frequencies, but the influence is appreciable in intermediate wave frequencies. (c) 2008 Elsevier Ltd. All rights reserved. |
Subtype | Article |
Other Abstract | The linear water wave scattering and radiation by an array of infinitely long horizontal circular cylinders in a two-layer fluid of infinite depth is investigated by use of the multipole expansion method. The diffracted and radiated potentials are expressed as a linear combination of infinite multipoles placed at the centre of each cylinder with unknown coefficients to be determined by the cylinder boundary conditions. Analytical expressions for wave forces, hydrodynamic coefficients, reflection and transmission coefficients and energies are derived. Comparisons are made between the present analytical results and those obtained by the boundary element method, and some examples are presented to illustrate the hydrodynamic behavior of multiple horizontal circular cylinders in a two-layer fluid. It is found that for two submerged circular cylinders the influence of the fluid density ratio on internal-mode wave forces is more appreciable than surface-mode wave forces, and the periodic oscillations of hydrodynamic results occur with the increase of the distance between two cylinders; for four submerged circular cylinders the influence of adding two cylinders on the wave forces of the former cylinders is small in low and high wave frequencies, but the influence is appreciable in intermediate wave frequencies. |
Keyword | Scattering Radiation Two-layer Fluid Multipole Expansion Hydrodynamic Behavior |
WOS Headings | Science & Technology ; Technology ; Physical Sciences |
DOI | 10.1016/j.oceaneng.2008.03.004 |
WOS Subject Extended | Engineering ; Oceanography |
URL | 查看原文 |
WOS Keyword | SURFACE-WAVES ; SCATTERING ; RADIATION |
Indexed By | SCI |
Language | 英语 |
WOS Subject | Engineering, Marine ; Engineering, Civil ; Engineering, Ocean ; Oceanography |
WOS ID | WOS:000257362800002 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.giec.ac.cn/handle/344007/3420 |
Collection | 中国科学院广州能源研究所 |
Affiliation | 1.Chinese Acad Sci, Guangzhou Inst Energy Convers, Guangzhou 510640, Guangdong, Peoples R China 2.Chinese Acad Sci, Key Lab Renewable Energy & Gas Hydrate, Beijing 100864, Peoples R China 3.Chinese Acad Sci, Qingdao Inst Biomass Energy & Bioproc Technol, Qingdao 266071, Peoples R China |
First Author Affilication | GuangZhou Institute of Energy Conversion,Chinese Academy of Sciences |
Recommended Citation GB/T 7714 | Feng, B.,Zheng, Y. H.,You, Y. G.,et al. Interaction of linear waves with an array of infinitely long horizontal circular cylinders in a two-layer fluid of infinite depth[J]. OCEAN ENGINEERING,2008,35(10):963-982. |
APA | Feng, B.,Zheng, Y. H.,You, Y. G.,Wu, B. J.,&Sheng, S. W..(2008).Interaction of linear waves with an array of infinitely long horizontal circular cylinders in a two-layer fluid of infinite depth.OCEAN ENGINEERING,35(10),963-982. |
MLA | Feng, B.,et al."Interaction of linear waves with an array of infinitely long horizontal circular cylinders in a two-layer fluid of infinite depth".OCEAN ENGINEERING 35.10(2008):963-982. |
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