It is known that the turbulence in a fast rotating volume becomes effectively two-dimensional one. The latter is characterized by inverse energy cascade leading to formation of coherent flow in finite systems. In rotating three-dimensional vessel this flow has the form of columnar vortices. Here we develop analytical theory describing interaction of the vortex with turbulent pulsations. This interaction results in energy transfer from small scale eddies to the large scale vortex. We derive the equation for radial velocity profile of the vortex and solve it for simplest boundary conditions. We indicate the domain of physical parameters where our theory works.

中文翻译：

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三维旋转湍流中相干柱状涡的结构

众所周知，快速旋转体积中的湍流实际上是二维的。后者的特征是逆能量级联，导致在有限系统中形成相干流。在旋转的三维容器中，这种流动具有圆柱状涡流的形式。在这里，我们开发了描述涡旋与湍流脉动相互作用的分析理论。这种相互作用导致能量从小涡旋转移到大涡旋。我们推导出涡旋径向速度分布的方程，并求解最简单的边界条件。我们指出理论工作的物理参数范围。