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首页> 外文期刊>TsAGI science journal >SOLVING THE PROBLEM OF SPATIAL DEVELOPMENT OF PERTURBATIONS IN THE LINEAR THEORY OF HYDRODYNAMIC STABILITY BY PHASE FUNCTION MODULATION
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SOLVING THE PROBLEM OF SPATIAL DEVELOPMENT OF PERTURBATIONS IN THE LINEAR THEORY OF HYDRODYNAMIC STABILITY BY PHASE FUNCTION MODULATION

机译：通过相函数调制解决水动力稳定性线性理论中扰动空间发展的问题

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摘要

The linear theory of hydrodynamic stability of three-dimensional compressible flows in a locally parallel approximation is considered. An approach to solving the problem of spatial development of perturbations (the S problem) using phase modulation of the temporal problem solution (the T problem) in the instability region is proposed. It was assumed that the direction of the amplification rate in space coincides with the real part of the group velocity direction in the entire instability region. The obtained transformations of the T problem into the S problem differ from the Gaster transformation. In the extremum of the spatial rate amplification these transformations coincide with the generalized Gaster relation for the three-dimensional case. A comparison was done of the results computed in accordance with the linear stability theory of the frequencies of maximally amplifying unsteady waves of cross-flow instability and the Tollmien-Schlichting waves with the experimental data obtained in the low-turbulent T-124 wind tunnel at TsAGI.
机译：考虑了在局部平行近似中三维可压缩流的水动力稳定性的线性理论。提出了一种利用不稳定区域中时间问题解（T问题）的相位调制来解决扰动空间发展问题（S问题）的方法。假设在整个不稳定性区域中，空间中的放大率的方向与群速度方向的实部一致。从T问题到S问题的变换与Gaster变换不同。在空间速率放大的极值下，这些变换与三维情况下的广义Gaster关系一致。比较了根据线性稳定性理论计算的结果的线性稳定性理论，该线性理论最大程度地增加了横流不稳定性不稳定波和Tollmien-Schlichting波的频率，以及在低湍流T-124风洞中获得的实验数据茶色

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