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arXiv 1711.00611physics.flu-dyn
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自由表面流中二维潮汐涡轮机阵列的性能

Performance of two-dimensional tidal turbine arrays in free surface flow

Xianliang Gong, Ye Li, Zhiliang Lin, Qiuhao Hu

摘要:

最近的潮汐涡轮机阵列的性能研究的鼓舞下,我们扩展了经典的动量致动器盘理论,包括自由表面的影响,并允许垂直排列的涡轮机。现有的文献大多是关于垂直方向上带有单个涡轮的一维阵列,而本文中的阵列是二维的(垂直和横向方向上都有涡轮),并且部分阻塞宽度远大于高度的通道。假设阵列尺度流的垂直混合比横向混合快得多。这一假设已被数值模拟所证实。在固定涡轮总面积和利用宽度的情况下,对二维阵列和传统的一维阵列进行了比较。结果表明,较小的涡轮机的二维排列是首选的一维阵列从功率系数和效率的角度来看。当考虑信道动态特性时,信道参数的变化会部分抵消功率的增加,但最优配置不变。此外,我们考虑如何安排有限数量的涡轮机在一个通道。最后,分析了小堵塞的极限条件--无限大水流中布置水轮机的情况。当$Fr=0.2$时,出现了一个新的最大功率系数0.869,与现有结果相比,极大地提高了峰值功率。

英文摘要:

Encouraged by recent studies on the performance of tidal turbine arrays, we extend the classical momentum actuator disc theory to include the free surface effects and allow the vertical arrangement of turbines. Most existing literatures concern one dimensional arrays with single turbine in the vertical direction, while the arrays in this work are two dimensional (with turbines in both the vertical and lateral directions) and also partially block the channel which width is far larger than height. The vertical mixing of array scale flow is assumed to take place much faster than lateral one. This assumption has been verified by numerical simulations. Fixing the total turbine area and utilized width, the comparison between two-dimensional and traditional one-dimensional arrays is investigated. The results suggest that the two dimensional arrangements of smaller turbines are preferred to one dimensional arrays from both the power coefficient and efficiency perspectives. When channel dynamics are considered, the power increase would be partly offset according to the parameters of the channel but the optimal arrangement is unchangeable. Furthermore, we consider how to arrange finite number of turbines in a channel. It is shown that an optimal distribution of turbines in two directions is found. Finally, the scenario of arranging turbines in infinite flow, which is the limiting condition of small blockages, is analysed. A new maximum power coefficient 0.869 occurs when $Fr=0.2$, greatly increasing the peak power compared with existing results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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