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Impact of Two Vertical Porous Barriers in Reflection of Water Waves and Mitigation of Wave Forces on a Rigid Floating Structure with Consideration of Uniform Current Over a Porous Sea-Bed
International Journal of Applied Mechanics ( IF 3.5 ) Pub Date : 2024-03-27 , DOI: 10.1142/s1758825124500492
Shilpi Jain 1 , Swaroop Nandan Bora 1
Affiliation  

This work examines an oblique water wave scattering by a rigid floating structure with the consideration of uniform current and no current, in the presence of two porous barriers with distinct height and porous properties placed in front of the structure. The objective is to study the associated reflection and to find means to mitigate the waveload on the floating structure. These barriers are considered at some distance apart from each other. It is assumed that the train of water waves interacts with the porous barriers and the floating structure due to which it undergoes partial reflection. The fluid domain is considered in terms of five distinct sub-regions in each of which the solution of the relevant boundary value problem in terms of the velocity potential is obtained through the employment of the techniques of separation of variables and eigenfunction expansion. The resulting system of equations is obtained by utilizing the matching conditions corresponding to the continuity of mass flux and pressure across each virtual vertical boundary. The roots of the dispersion relation are evaluated and utilized while solving the system of linear equations through a standard matrix technique which gives the unknown coefficients. For understanding the role of the porous barriers, the reflection coefficient and the hydrodynamic forces are evaluated and analyzed. In this context, the impact of the space between these two porous barriers, their height, and the values of the porous-effect parameters are thoroughly examined. It is observed that placing of these barriers at an appropriate distance from each other can substantially mitigate both horizontal force and vertical force acting on the floating structure. This study reveals a periodic nature of the reflection coefficient corresponding to an increase in the distance between the barriers. Further, another important observation is that the reflection coefficient results in an increment as the height of these porous barriers is increased. It, as a result, produces a reduction of the wave forces acting on the floating structure. The study of the oblique wave scattering by the floating structure is extended to the case of the presence of a uniform current. In this case, an enhancement in the reflection coefficient is observed, and subsequently, horizontal and vertical forces on the floating structure decrease. The impact of some other parameters on the reflection coefficient and the forces is also studied, and some observations are recorded. The results are validated against two established results which shows a very close match.



中文翻译:

考虑多孔海床上均匀水流的两个垂直多孔屏障对水波反射和波浪力对刚性浮式结构的影响

这项工作在考虑均匀电流和无电流的情况下,在结构前面放置两个具有不同高度和多孔特性的多孔屏障的情况下,研究刚性浮动结构的倾斜水波散射。目的是研究相关的反射并找到减轻浮动结构上的波浪载荷的方法。这些障碍被认为彼此相距一定距离。假设水波列与多孔屏障和漂浮结构相互作用,因此发生部分反射。流体域被认为是五个不同的子区域,其中每个子区域中速度势方面的相关边值问题的解都是通过采用变量分离和本征函数展开技术获得的。通过利用与每个虚拟垂直边界上的质量通量和压力的连续性相对应的匹配条件来获得所得到的方程组。在通过给出未知系数的标准矩阵技术求解线性方程组时,评估和利用色散关系的根。为了了解多孔屏障的作用,对反射系数和水动力进行了评估和分析。在这种情况下,彻底检查了这两个多孔屏障之间的空间、它们的高度以及多孔效应参数值的影响。据观察,将这些屏障放置在彼此适当的距离处可以显着减轻作用在浮动结构上的水平力和垂直力。这项研究揭示了反射系数的周期性,对应于障碍物之间距离的增加。此外,另一个重要的观察结果是,反射系数随着这些多孔屏障的高度增加而增加。结果,作用在浮动结构上的波浪力减小。对漂浮结构的斜波散射的研究扩展到存在均匀电流的情况。在这种情况下,观察到反射系数增强,随后浮动结构上的水平和垂直力减小。还研究了其他一些参数对反射系数和力的影响,并记录了一些观察结果。结果根据两个既定结果进行验证,显示非常接近的匹配。

更新日期:2024-03-28
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