Nonlinear interaction mechanisms of disturbances in supersonic flat-plate boundary layers
Nonlinear interaction mechanisms of disturbances in supersonic flat-plate boundary layers
复制标题
超声速平板边界层扰动的非线性相互作用机制
DOI：
10.1007/s11433-014-5568-0
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发表时间：
2014-08
期刊：
影响因子：
--
通讯作者：
Luo JiSheng
中科院分区：
文献类型：
--
作者：
Yu Min;Luo JiSheng
由于可压缩流动的复杂性，超声速边界层的非线性流体动力稳定性理论是不够的。为了揭示高马赫数下超声速边界层中三维扰动快速放大的非线性相互作用机理，通过数值模拟，分析了马赫数为4.5、6和8时平板边界层中不同扰动的非线性演化。结果表明，当二维扰动幅值达到一定程度时，三维扰动会迅速放大。放大最快的3-D扰动是Klebanoff型（K型）扰动，其具有与2-D扰动相同的频率。在这些K型三维扰动中，位于中性曲线上分支和下分支交界处的扰动被放大得更高。通过分析三维扰动在不同演化阶段的放大率与展向波数的关系，解释了有限振幅二维扰动存在时K型三维扰动展向波数选择性的机理。
Due to the complexity of compressible flows, nonlinear hydrodynamic stability theories in supersonic boundary layers are not sufficient. In order to reveal the nonlinear interaction mechanisms of the rapidly amplified 3-D disturbances in supersonic boundary layers at high Mach numbers, the nonlinear evolutions of different disturbances in flat-plate boundary layers at Mach number 4.5, 6 and 8 are analyzed by numerical simulations. It can be concluded that the 3-D disturbances are amplified rapidly when the amplitude of the 2-D disturbance reaches a certain level. The most rapidly amplified 3-D disturbances are Klebanoff type (K-type) disturbances which have the same frequency as the 2-D disturbance. Among these K-type 3-D disturbances, the disturbances located at the junction of upper branch and lower branch of the neutral curve are amplified higher. Through analyzing the relationship between the amplification rate and the spanwise wavenumber of the 3-D disturbances at different evolution stages, the mechanism of the spanwise wavenumber selectivity of K-type 3-D disturbances in the presence of a finite amplitude 2-D disturbance is explained.
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