A one-parameter model for turbine wakes from the entrainment hypothesis
A one-parameter model for turbine wakes from the entrainment hypothesis
复制标题
基于夹带假设的涡轮机尾流的单参数模型
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
P. Luzzatto‐Fegiz
中科院分区：
文献类型：
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作者：
P. Luzzatto‐Fegiz
卷吸假设由一个简洁的湍流模型组成，该模型已被广泛用于模拟包括羽流、重力流和破裂内波在内的地球物理流动。本文采用卷吸假设建立了单个风力机尾迹的数学模型，不需要线性化控制方程，也不需要假定尾迹半径随下游距离线性增长(或以任何其他规定的方式增长)。假设顶帽速度差和压力梯度为零，本文的分析首先重新发现了Morton(B.R.Morton)的结果。J.流体机械。10：101-112,1961)，然而，到目前为止，它似乎完全被忽视了。将该卷吸尾迹模型的预测与已公布的实验室数据和现场观测数据进行了比较，发现了很好的一致性。由于卷吸模型不需要假设尾迹直径和下游距离之间的特定关系，因此它还可以进行简单的扩展，以考虑复杂地形和偏航的影响。
The entrainment hypothesis consists of a concise turbulence model, which has been widely used to model geophysical flows including plumes, gravity currents, and breaking internal waves. This paper employs the entrainment hypothesis to obtain a model for the wake of a single wind turbine, without having to linearize the governing equations, or needing to assume a wake radius that grows linearly (or in any other prescribed manner) with distance downstream. Assuming a top-hat velocity deficit and a zero pressure gradient, the analysis presented here re-discovers a result first due to Morton (B.R. Morton. J. Fluid Mech. 10:101–112, 1961), which however appears to have been completely overlooked until now. The predictions from this entrainment wake model are compared with published laboratory data and field observations, finding good agreement. Since the entrainment model does not require assuming a specific relationship between wake diameter and distance downstream, it may also enable simple extensions to account for complex terrain and for effects of yaw.