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Effect of a porous sea-bed on water wave scattering by two thin vertical submerged porous plates
European Journal of Mechanics - B/Fluids ( IF 2.6 ) Pub Date : 2020-06-20 , DOI: 10.1016/j.euromechflu.2020.06.009
Ayan Chanda , Swaroop Nandan Bora

A hydrodynamic model, with incorporation of porosity, is considered to investigate oblique water wave scattering by two fully submerged parallel porous plates with the wave propagating over a porous bed in a homogeneous fluid flow with the upper surface exposed to atmosphere. The porous plates are assumed to follow the theory of thin plates and the wave propagation through the porous structure follows porous wave-maker theory. The behavior and properties of the roots of the dispersion relation are analyzed by adopting counting argument and contour plot. Time-harmonic propagating waves propagate with exactly one wavenumber along the free surface for any given frequency. Methods of eigenfunction expansion and least square are employed to acquire the complete analytical solution for interaction of water waves with submerged porous plates. Subsequently the reflection and transmission coefficients as well as the energy loss are computed. Then those are examined corresponding to various values of parameters such as porous-effect parameter, the submergence depth of plates from free surface, angle of incidence, porosity of the sea-bed. Present investigation clearly demonstrates that the wave reflection is of oscillatory nature. It further shows that the occurrence of minima in wave reflection is due to an increase in the inertial effect of the porous plates which dissipate a significant portion of the wave energy. The effect of the porous bed under consideration on surface gravity waves is carried out by introducing various numerical values to the hydrodynamic wave characteristics and it is noticed that a reasonable change in porosity of the sea-bed has a significant impact when the propagating wave encounters the submerged structure. The present approach is expected to be of great significance in designing and construction of different types of effective wave absorbers utilized in sea for studying reflection as well as dissipation of wave energy in coastal regions and hence for the purpose of coastal as well as offshore engineering. The present model is validated by comparing it with some established result.



中文翻译:

多孔海床对两个薄垂直浸没多孔板的水波散射的影响

结合孔隙度的流体力学模型被认为是通过两个完全浸没的平行多孔板研究斜向水波的散射,其中波在均匀流体流中在多孔床上传播,且上表面暴露于大气。假设多孔板遵循薄板理论,并且穿过多孔结构的波传播遵循多孔波制造者理论。通过采用计数自变量和等高线图来分析色散关系的根的行为和性质。对于任何给定的频率,时谐传播波均沿自由表面以正好一个波数传播。本征函数展开法和最小二乘法用于获得水波与浸没多孔板相互作用的完整解析解。随后,计算反射系数和透射系数以及能量损耗。然后,根据各种参数值(例如,多孔效应参数,板从自由表面的浸入深度,入射角,海床孔隙率)来检查这些值。目前的研究清楚地表明,波反射具有振荡性质。它进一步表明,在波反射中出现最小值是由于多孔板的惯性效应增加所致,这些惯性效应耗散了大部分波能。通过将各种数值引入流体动力波特性中来考虑所考虑的多孔床对表面重力波的影响,并注意到当传播波遇到水波时,合理的海床孔隙率变化会产生重大影响。淹没结构。预期本方法对于设计和构造用于海上的各种类型的有效波吸收器具有重要意义,所述波吸收器用于研究沿海地区的波能的反射以及消散,从而用于沿海以及近海工程。通过与一些已建立的结果进行比较来验证本模型。预期本方法对于设计和构造用于海上的各种类型的有效波吸收器具有重要意义,所述波吸收器用于研究沿海地区的波能的反射以及消散,从而用于沿海以及近海工程。通过与一些已建立的结果进行比较来验证本模型。预期本方法对于设计和构造用于海上的各种类型的有效波吸收器具有重要意义,所述波吸收器用于研究沿海地区的波能的反射以及消散,从而用于沿海以及近海工程。通过与一些已建立的结果进行比较来验证本模型。

更新日期:2020-06-20
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