| 规则波作用下开孔圆盘阵列绕射效应研究 |
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| 引用本文： | 王广原,王多银,房皓,于法军.规则波作用下开孔圆盘阵列绕射效应研究[J].工程力学,2023,40(5):236-244. |
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| 作者姓名： | 王广原 王多银 房皓 于法军 |
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| 作者单位： | 1.重庆交通大学河海学院，重庆 400074 |
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| 基金项目： | 国家自然科学基金面上项目(51979017) |
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| 摘 要： | 在势流理论和线性波理论的假设下，运用特征函数展开法和贝塞尔函数加法理论，研究了规则波作用下开孔圆盘阵列的绕射效应。阵列中每个圆盘都是刚性、开孔的，固定在静水面以下，其厚度相对于入射波波长可以忽略，且通过其表面的流体运动满足达西定律。根据推导出的速度势，进一步得到圆盘的垂荡力和流场的自由表面高程解析表达式。利用该解析解与已发表的孤立圆盘计算结果进行验证；分析了四盘阵列在各种波浪和结构参数下的绕射现象。研究表明：当圆盘开孔率、吃水深度及入射波波长在一定范围内时，圆盘阵列内部将发生显著的相互作用现象，主要表现为迎浪侧圆盘对背浪侧圆盘的遮蔽效应。在特定的入射波波数下，选择适当的四盘阵列圆盘间距，最大可将背浪侧圆盘垂荡力降低至迎浪侧圆盘的76%。同时还发现，四盘阵列中，迎浪侧圆盘上可能发生波能聚焦现象，引起自由表面高程的急剧增大，但这种波能聚焦现象会随着圆盘开孔率的增大而逐渐减弱。
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| 关 键 词： | 开孔圆盘 线性波浪 波浪绕射 垂荡力 自由表面高程 |
| 收稿时间： | 2021-10-18 |
STUDY ON DIFFRACTION EFFECT OF POROUS PLATE ARRAY UNDER REGULAR WAVE |
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| Affiliation: | 1.College of River and Ocean Engineering, Chongqing Jiaotong University, Chongqing 400074, China2.National Engineering Research Center of Port Hydraulic Construction Technology, Tianjin Research Institute for Water Transport Engineering, M.O.T, Tianjin 300000, China3.College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China |
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| Abstract: | Under the assumptions of potential flow theory and of linear wave theory, the diffraction effect of porous plates array under the action of regular waves is investigated by applying the eigenfunction expansion method and Bessel function addition theory. Each plate in the array is rigid, porous, and fixed below the still water surface with negligible thickness relative to the incident wave wavelength. The fluid motion through its surface satisfies Darcy's law. Based on the derived velocity potential, further analytical expressions for the heave force of the plate and the free surface elevation of the flow field are obtained. The analytical solution is verified by the published calculation results of the isolated plate, after which the diffraction phenomena of the four-plates system are analyzed for various wave and structural parameters. It is shown that when the plate opening ratio, draft depth, and incident wave wavelength are within a certain range, significant interaction phenomena will occur inside the array, mainly manifesting as the shielding effect of the plate on the upstream side to the plate on the downstream side. At a specific incident wave number, the maximum reduction of the downstream plate droop force to 76% of the upstream plate can be achieved by selecting the appropriate spacing for the four-plates system. It is also found that the wave energy focusing phenomenon may occur on the upstream side plate in the four-plates system, causing a sharp increase in the free surface elevation, but this wave energy focusing phenomenon will gradually diminish with the increase of the plate opening rate. |
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