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中国物理学会期刊

入流激励下可压缩剪切层中Kelvin-Helmholtz涡的响应特性

CSTR: 32037.14.aps.69.20190681

Response characteristics of inflow-stimulated Kelvin-Helmholtz vortex in compressible shear layer

CSTR: 32037.14.aps.69.20190681
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  • 通过直接数值求解Navier-Stokes方程, 研究了入流激励下可压缩剪切层中Kelvin-Helmholtz (KH)涡结构的响应特性, 结果清晰地展示了KH涡的独特演化方式. 基于流动可视化数据, 采用两点相关性分析获得了流场拟序结构的空间尺寸和结构角分布. 通过分析不同激励频率下涡结构的动态特性, 揭示了入流激励下可压缩剪切层中KH涡结构的独特演化机理. 研究结果表明, 低频入流激励(f = 5 kHz)下KH涡尺寸在远场区域达到饱和后呈现锁频状态, KH涡量厚度稳定在12—14 mm之间; 与自由剪切层涡结构通过配对合并的方式实现生长的机理不同, 低频入流激励下剪切层的发展是通过中间涡核顺时针吞噬KH不稳定波诱导的一串外围小涡结构来实现生长. 此外, 针对高频激励 (f = 20 kHz)下的剪切层流动, 研究了涡结构特性和入流激励参数之间的定量关系, 发现均匀分布涡结构的尺寸近似等于对流速度与入流激励频率之比.

     

    By numerically solving the Navier-Stokes equations, the response characteristics of inflow-stimulated Kelvin-Helmholtz vortex in compressible shear layer arestudied. The mixing characteristics and the unique growth mechanism of the vortex structure are clearly revealed. By employing the index of vorticity thickness, the mixing properties are quantitatively analyzed. Based on the flow visualization results, the spatial size and the structure angle of the flow coherent structure are investigated by utilizing spatial correlation analysis. The evolution mechanism of the vortex structure in supersonic mixing layer induced by inlet forcing is revealed by analyzing the dynamical performances of the flow structure under different frequency disturbances. The numerical results show that with low forcing frequency at f = 5 kHz, the mixing efficiency is remarkably increased in the near-field of the flow. Whereas, in the far-field downstream the flow, the size of the structure reaches saturation state and the vortex passage frequency is locked, which causes the vorticity thickness to stabilize from 12mm to 14mm. Meanwhile, in a free mixing layer, the pairing and merging process occur in the flow field to promote the growth of the vortex structure, while in mixing layer with inlet forcing, the growth mechanism is that the vortex core engulfs a string of vortices induced by Kelvin-Helmholtz instability. The process of engulfment contributes much to the growth of the vortex structure. The analysis of spatial correlation distribution shows that in the area where engulfment occurs, the contour line shows the property of long and narrow ellipse instead of full ellipse and the structure in the area possesses the characteristics of intense rotation and inclination. Besides, with high inlet forcing frequency at f = 20 kHz, the size of the vortices becomes full in the near-field, and the vorticity thickness stabilizes between 3mm and 4 mm downstream the flow field. Meanwhile, the size of the vortex in controlled supersonic mixing layer is dominated by the imposed high-frequency forcing. An equation describing the quantitative relationship between the vortex characteristics and the imposed forcing frequency is derived, that is, the size of the uniform distribution vortex is approximately equal to the ratio of the value of convective velocity to inlet forcing frequency.

     

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