Signatures of two-dimensionalisation of 3D turbulence in the presence of rotation
Signatures of two-dimensionalisation of 3D turbulence in the presence of rotation
复制标题
存在旋转时 3D 湍流的二维化特征
DOI：
10.1209/0295-5075/79/14002
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
S. Chakraborty
中科院分区：
文献类型：
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作者：
S. Chakraborty
给出了二维快速旋转三维不可压缩湍流中逆能量级联的原因。对于这样的系统，文献显示能谱关系中的波数指数可能在-2和-3之间。我们认为，在快速旋转湍流的情况下，存在一个更严格的范围-2到-7/3的指数，这是根据最近的实验。此外，两点三阶结构函数的推导也被提供，这有助于人们论证即使在缓慢旋转的情况下，人们也会得到一个指数为-2.87的谱，尽管占主导地位，从而暗示了旋转的二维化效应的开始。
A reason has been given for the inverse energy cascade in the two-dimensionalised rapidly rotating 3D incompressible turbulence. For such system, the literature shows a possibility for the wave number exponent in the energy spectrum's relation to lie between −2 and −3. We argue the existence of a stricter range of −2 to −7/3 for the exponent in the case of rapidly rotating turbulence which is in accordance with the recent experiments. Also, a derivation for the two-point third-order structure function has been provided helping one to argue that even with slow rotation one gets, though dominated, a spectrum with the exponent −2.87, thereby hinting at the initiation of the two-dimensionalisation effect with rotation.