Abstract Flow past a circular cylinder fitted with a rear rigid wavy plate at a low Reynolds number of Re = 150 is first numerically studied in this work. The effects of the plate length and the surface undulation on the hydrodynamic forces and vortex shedding behavior of the circular cylinder are examined. The mean drag coefficient and the fluctuation of lift coefficient are reduced up to 27.5% and 54.9%, respectively, in the presence of a wavy plate. Additionally, the vortex formation length is elongated and the wake width is shortened, illustrating the suppression of vortex shedding. According to the flow control performance, the 1.5D-length (D is the cylinder diameter) wavy plate with wavelength of 3D is employed to control the vortex-induced vibration (VIV). The two-degree-of-freedom of flow-induced vibration is computed for a wide range of reduced velocities (Ur = 2–20) in comparison with a bare cylinder. The results indicate the initial and lower branches of VIV are effectively suppressed by the wavy plate with the maximum reduction of cross-flow amplitude up to 92.44%. Nevertheless, the reattachment of shear layers on the wavy plate surface and the asymmetric P + S (a single vortex and a pair of opposite signed vortices released per cycle of shedding) vortex structure stir the galloping instability at Ur > 8, instead of the desynchronization branch. The monotonic increase of vibration amplitude in galloping branch shows a greater potential for energy harvesting.

中文翻译：

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带波浪板的圆柱体的流动控制和振动响应

摘要 在这项工作中，首先数值研究了流过装有后刚性波浪板的低雷诺数 Re = 150 的圆柱体。检查了板长度和表面起伏对圆柱体的流体动力和涡流脱落行为的影响。在波浪板的存在下，平均阻力系数和升力系数的波动分别降低了27.5%和54.9%。此外，涡旋形成长度拉长，尾流宽度缩短，说明涡旋脱落得到抑制。根据流量控制性能，采用波长为3D的1.5D长度（D为圆柱直径）波片控制涡激振动（VIV）。与裸圆柱体相比，针对较宽范围的降低速度 (Ur = 2-20) 计算了流动引起的振动的二自由度。结果表明，波浪板有效抑制了VIV的起始和下支，横流幅度最大降低达92.44%。然而，波浪板表面上剪切层的重新附着和不对称的 P + S（每个脱落周期释放的单个涡和一对相反符号的涡）涡结构激起了 Ur > 8 处的飞驰不稳定性，而不是不同步分支。奔腾分支振动幅度的单调增加显示了更大的能量收集潜力。结果表明，波浪板有效抑制了VIV的初始和下部分支，横流幅度最大降低达92.44%。然而，波浪板表面上剪切层的重新附着和不对称的 P + S（每个脱落周期释放的单个涡和一对相反符号的涡）涡结构激起了 Ur > 8 处的飞驰不稳定性，而不是不同步分支。奔腾分支振动幅度的单调增加显示了更大的能量收集潜力。结果表明，波浪板有效抑制了VIV的初始和下部分支，横流幅度最大降低达92.44%。然而，波浪板表面上剪切层的重新附着和不对称的 P + S（每个脱落周期释放的单个涡和一对相反符号的涡）涡结构激起了 Ur > 8 处的飞驰不稳定性，而不是不同步分支。奔腾分支振动幅度的单调增加显示了更大的能量收集潜力。波浪板表面剪切层的重新附着和不对称的 P + S（单个涡流和每个脱落周期释放的一对符号相反的涡流）涡流结构激起了 Ur > 8 处的飞驰不稳定性，而不是去同步分支。奔腾分支振动幅度的单调增加显示了更大的能量收集潜力。波浪板表面剪切层的重新附着和不对称的 P + S（单个涡流和每个脱落周期释放的一对符号相反的涡流）涡流结构激起了 Ur > 8 处的飞驰不稳定性，而不是去同步分支。奔腾分支振动幅度的单调增加显示了更大的能量收集潜力。