柔性压电板混合波浪/海流能量采集
Hybrid Wave/Current Energy Harvesting with a Flexible Piezoelectric Plate
AI总结:
本文研究柔性压电板在波浪与海流作用下的能量采集,提出涡线理论模型,揭示颤振与拍动两种高能振动模态,并阐明板长、浸没深度及电学参数匹配对最优能量产出的影响。
摘要:
我们研究了浸没在自由表面附近并受到迎面重力波和海流作用的柔性压电板的动力学与能量产出能力。推导了一个理论模型,其中旗帜及其尾流用涡线表示,而流体主体视为无粘流体。该模型用于描述柔性板、其尾流、重力入射波和海流之间的水动力相互作用。模型揭示了压电装置存在两种不同的振动状态,它们对应的最优能量产出水平几乎相似。第一种与板的悬臂颤振模态相关,在不同弗劳德数和入射波频率下对板的柔性依赖有限。另一种类似于较柔性板中的流致拍动模态,其能量输出对板的柔性表现出更高的依赖性。这两种高能模态的同时存在允许调整板长,从而在不同流动条件下持续达到最大能量产出水平。探讨了系统响应的弗劳德数的作用,并将其与表面重力波群的出现相关联,每个波群以不同的波数传播。结果表明,在亚临界和临界流动中,需要小于体长一半的浸没深度才能达到高能状态。最后,最优电感和电阻值与流动、机械和电学时间尺度之间的适当匹配相关。
英文摘要:
We investigate the dynamics and energy production capability of a flexible piezoelectric plate submerged close to the free surface and exposed to incident head gravity waves and current. A theoretical model is derived in which the flag and its wake are represented with a vortex line while the body of the fluid is considered to be inviscid. The model is employed to describe the hydrodynamic interactions between a flexible plate, its wake, gravity incident waves and the current. The model reveals two distinct vibration states of a piezoelectric device corresponding to almost similar optimal energy production levels. The first is associated with the cantilever fluttering mode of the plate with limited dependency on the plate's flexibility across different Froude numbers and incoming wave frequencies. The other resembles the flow-induced flapping mode in more flexible plates, with the energy output showing a higher dependency on plate flexibility. The concurrent existence of these two energetic modes allows adjustment of the plate length to consistently achieve the maximum energy production level across different flow conditions. The role of the Froude number of the system's responses is explored and correlated to the appearance of gravity wave groups on the surface, each propagating with a different wavenumber. It is shown that a submergence depth of less than half of the body length is required to reach a high energetic condition in subcritical and critical flows. Finally, the optimal inductive and resistive values are related to proper matching between flow, mechanical and electrical timescales.
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