On the generation of Tollmien-Schlichting waves in the boundary layer of a flat plate by the disturbances in the free stream

On the generation of Tollmien-Schlichting waves in the boundary layer of a flat plate by the disturbances in the free stream
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DOI:
10.1098/rspa.1987.0119
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发表时间:
1987-10
期刊:
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
影响因子:
--
通讯作者:
J. Luo;H. Zhou
J. Luo;H. Zhou
中科院分区:
其他
文献类型:
--
作者:
J. Luo;H. Zhou

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提出了平板边界层对自由流湍流的“接受性”问题的一个模型。其基本思想是湍流速度谱的两个谐波分量可以通过非线性相互作用在边界层中产生Tollmien-Schlichting波。基于该模型的数值计算表明,至少在一定的雷诺数、波数和频率范围内,实际上可以产生Tollmien-Schlichting波,并且其振幅与自由流中的扰动振幅具有相同的数量级。
A model is proposed for the problem of ‘receptivity’ of the boundary layer of a flat plate to the free-stream turbulence. The basic idea is that two harmonic components of the turbulent velocity spectrum may generate Tollmien-Schlichting waves in the boundary layer through nonlinear interaction. The numerical calculations based on this model show that Tollmien-Schlichting waves can actually be generated and the amplitudes may have the same order of magnitude as the disturbance amplitude in the free stream, at least for certain ranges of the Reynolds number, wavenumber and frequency.