受迫旋转剪切turbulence的解析理论I.垂直病例
Analytical theory of forced rotating sheared turbulence. I. Perpendicular case
摘要：
我们提供了一个一致的理论湍流存在的剪切和旋转。从脉动场的准线性方程出发，考虑剪切和旋转对湍流的影响，导出了湍流振幅和湍流输运系数。我们表明，剪切减少湍流振幅和运输，更强烈的方向平行于剪切比在垂直的，有效地诱导各向异性湍流。旋转进一步降低了湍流幅度和传输。剪切和旋转之间的相互作用被证明会产生一种新的非扩散通量的角动量（$Λ$ -效果），提供了一种机制，在天体物理和地球物理系统的剪切结构的永久性。
英文摘要：
We provide a consistent theory of turbulence in the presence of shear and rotation. Starting from a quasi-linear equation for the fluctuating fields, we derive turbulence amplitude and turbulent transport coefficients, taking into account the effect of shear and rotation on turbulence. We show that the shear reduces both turbulence amplitude and transport, more strongly in the direction parallel to the shear than in the perpendicular one, effectively inducing an anisotropic turbulence. The rotation further reduces turbulence amplitude and transport. The interaction between the shear and the rotation is shown to give rise to a novel non-diffusive flux of angular momentum ($Λ$-effect), providing a mechanism for the permanence of shearing structure in astrophysical and geophysical systems.
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