Repeated cascade theory of homogeneous turbulence
Repeated cascade theory of homogeneous turbulence
复制标题
均匀湍流的重复级联理论
DOI：
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发表时间：
1973
期刊：
影响因子：
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通讯作者：
C. Tchen
中科院分区：
文献类型：
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作者：
C. Tchen
湍流谱的问题产生了两个耦合的层次：一个起源于应力的发展，导致传递函数，另一个起源于涡旋粘性的发展。为了在尺度之间包含物理作用，将湍流速度脉动按随机性递增的顺序分解为一系列等级，依次对记忆链中的能量或应力、涡流粘性、弛豫频率和更高等级的频率做出贡献。结果，上面提到的第一层次在四极关联时变得封闭。第二层次以记忆链的形式管理不同等级的涡粘性，与这些等级的松弛频率相关。它被一种隐含的粘性机制切断了。对于零风梯度，惯性子范围内的谱恢复了Kolmogoroff k−5/3定律，数值常数为1.5 8，与实验结果吻合较好。对于强风梯度，制作过程中的光谱...
The problem of turbulent spectrum engenders two coupled hierarchies: one originates from the development of stress, leading to a transfer function, and the other from the development of an eddy viscosity. In order to incorporate physical roles among scales, the turbulent velocity fluctuation is decomposed into a series of ranks in the increasing order of randomness, contributing successively to energy or stress, eddy viscosity, relaxation frequency, and higher‐rank frequencies in the memory chain. As a result, the first hierarchy mentioned above becomes closed at the quadrupole correlation. The second hierarchy governs the eddy viscosities of different ranks, related to relaxation frequencies of such ranks, in the form of a memory chain. It is cut off by an implicit viscous mechanism. For zero wind gradient, the spectrum in the inertial subrange recovers the Kolmogoroff k−5/3 law with a numerical constant 1.58, in good agreement with experiments. For a strong wind gradient, the spectrum in the production ...