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首页> 外文期刊>The European physical journal, B. Condensed matter physics >Axisymmetric form of Karman-Howarth equation and its limiting forms
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Axisymmetric form of Karman-Howarth equation and its limiting forms

机译：Karman-Howarth方程的轴对称形式及其极限形式

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摘要

Kinematics and dynamics of homogeneous axisymmetric turbulence have been derived with the assumption that the properties of the turbulence are invariant with respect to rotation about a preferred direction λ. In particular, the "axisymmetric" equivalent of Karman-Howarth "isotropic" equation is derived using Lindborg's representation of the two-point correlation tensors of homogeneous axisymmetric turbulence. When the more constraining assumption of isotropy is made, this equation reduces to the well-known Karman-Howarth equation. There are two interesting limiting forms of the axisymmetric Karman-Howarth equation: the axisymmetric form of the energy balance equation and the axisymmetric form of the vorticity balance equation.
机译：假设湍流的特性相对于围绕优选方向λ的旋转不变，则得出了均匀轴对称湍流的运动学和动力学。特别地，使用均匀轴对称湍流的两点相关张量的Lindborg表示来推导Karman-Howarth“各向同性”方程的“轴对称”等价物。当做出更具约束性的各向同性假设时，该方程式简化为众所周知的Karman-Howarth方程式。轴对称Karman-Howarth方程有两种有趣的极限形式：能量平衡方程的轴对称形式和涡旋平衡方程的轴对称形式。

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