Stability of an incompressible two-dimensional wake

Stability of an incompressible two-dimensional wake
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不可压缩二维尾流的稳定性

DOI:
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发表时间:
1983
期刊:
影响因子:
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通讯作者:
A. Volodin
A. Volodin
中科院分区:
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文献类型:
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作者:
L. B. Aizin;A. Volodin

文献摘要

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在板后尾流的实验研究中,通常在板端部的正后方观察到单色(时间上)信号。在下游,信号失真,然后变得随机,即,实现了湍流状态。理论上,在相对于稳定解线性化的问题的三维扰动频谱中,在实验观察到的频率处发现了一个分支点[1]。Mattingly和Criminale [1]将观察到的信号的所有特征都归因于这一点。与其他类似的研究一样,[1]中没有阐明近尾流中出现单色信号的机制。本文研究了近尾流的特征振荡问题。单色信号的出现被解释为在所需频率的驻波的近尾流中的存在,该波由两个散射点形成。第一个是板的末端,第二个是线性三维扰动谱中的分支点。
In experimental investigations of the wake flow behind a plate, a monochromatic (in time) signal is usually observed immediately behind the end of the plate. Downstream, the signal is distorted and then becomes random, i.e., a turbulent flow regime is realized. Theoretically, a branch point is found at the experimentally observed frequency in the spectrum of three-dimensional perturbations of the problem linearized with respect to the steady solution [1]. Mattingly and Criminale [1] attribute all the characteristics of the observed signal to this point. As in other similar investigations, the mechanism of the appearance of the monochromatic signal in the near wake was not elucidated in [1]. In the present paper, the problem of the characteristic oscillations of the flow in the near wake is studied. The appearance of the monochromatic signal is explained by the presence in the near wake of a standing wave of the required frequency, the wave being formed by two scattering points. The first is the end of the plate, and the second the branch point in the spectrum of linear three-dimensional perturbations.