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声学超表面抑制高速边界层内宽频不稳定模态研究

王蔚彰 孔维萱 严昊 赵瑞

王蔚彰,孔维萱,严昊,等. 声学超表面抑制高速边界层内宽频不稳定模态研究[J]. 北京航空航天大学学报,2023,49(2):388-396 doi: 10.13700/j.bh.1001-5965.2021.0235
引用本文: 王蔚彰,孔维萱,严昊,等. 声学超表面抑制高速边界层内宽频不稳定模态研究[J]. 北京航空航天大学学报,2023,49(2):388-396 doi: 10.13700/j.bh.1001-5965.2021.0235
WANG W Z,KONG W X,YAN H,et al. Acoustic metasurfaces for stabilization of broadband unstable modes in high speed boundary layer[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(2):388-396 (in Chinese) doi: 10.13700/j.bh.1001-5965.2021.0235
Citation: WANG W Z,KONG W X,YAN H,et al. Acoustic metasurfaces for stabilization of broadband unstable modes in high speed boundary layer[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(2):388-396 (in Chinese) doi: 10.13700/j.bh.1001-5965.2021.0235

声学超表面抑制高速边界层内宽频不稳定模态研究

doi: 10.13700/j.bh.1001-5965.2021.0235
基金项目: 国家自然科学基金 (11872116,11991030,11991033);火箭创新预研基金
详细信息
    作者简介:

    王蔚彰等:声学超表面抑制高速边界层内宽频不稳定模态研究 9

    通讯作者:

    E-mail:zr@bit.edu.cn

  • 中图分类号: V211.3;O354.4

Acoustic metasurfaces for stabilization of broadband unstable modes in high speed boundary layer

Funds: National Natural Science Foundation of China (11872116,11991030,11991033); Rocket Innovation Research Fund
More Information
  • 摘要:

    以声学超表面为研究对象,使用线性稳定性理论(LST),研究了声学超表面导纳相位与幅值对超声速平板边界层内宽频不稳定模态的影响规律。结果表明:当导纳相位$ \theta $接近0.5$ \text{π}$时,第1模态被抑制的同时第2模态会被激发,且在较低频率范围内导纳幅值的增大能够使第1模态更加稳定;当导纳相位$ \theta $接近$ \text{π} $时,可抑制第2模态但同时激发第1模态;整体上,导纳幅值越大,对不稳定模态的抑制或激发效果越明显。在此基础上,结合缝隙几何参数对导纳的影响,提出一种可实现性宽频抑制方案,通过分段设计声学超表面微结构的几何尺寸,实现了同时抑制第1模态和高频第2模态的目标,并使用$ {\mathrm{e}}^{N} $方法验证了转捩抑制效果。

     

  • 图 1  缝隙型声学超表面的示意图

    Figure 1.  Schematic diagram of the aperture type acoustic metasurface

    图 2  光滑平板表面不稳定模态的增长率

    Figure 2.  Growth rates of unstable modes on smooth solid walls

    图 3  声学超表面导纳相位与幅值对不稳定模态增长率的影响

    Figure 3.  Effects of admittance phase and amplitude of acoustic metasurface on the growth rates of unstable modes

    图 4  不同导纳相位对第1模态增长率的影响

    Figure 4.  Effects of admittance phase on the growth rates of the first mode

    图 5  孔隙率对导纳相位和导纳幅值的影响

    Figure 5.  Effect of n on admittance phase and amplitude

    图 6  宽深比对导纳相位和导纳幅值的影响

    Figure 6.  Effect of Ar on admittance phase and amplitude

    图 7  深度对导纳相位与导纳幅值的影响

    Figure 7.  Effect of H on admittance phase and amplitude

    图 8  缝隙参数筛选流程

    Figure 8.  Flow chart of slit parameter screening

    图 9  不同频率下扰动模态在声学超表面与光滑表面的增长率对比

    Figure 9.  Growth rates of unstable modes at different frequencies on acoustic metasurface and smooth surface

    图 10  声学超表面与光滑表面的N值曲线对比

    Figure 10.  Comparisons of N-value curves of acoustic metasurface and smooth surface

    图 11  声学超表面与光滑表面N值包络线对比

    Figure 11.  Comparisons of N-value envelopments of acoustic metasurface and smooth surface

    表  1  不同 ${\boldsymbol{x}} $ 位置处的最优缝隙参数

    Table  1.   Optimal gap parameters at different ${\boldsymbol{x}} $ positions

    流向位置x/mH/mmnAr
    0.100.280.120.7
    0.150.370.120.7
    0.200.440.130.7
    0.250.510.130.7
    0.300.570.140.7
    0.350.630.140.7
    0.400.680.140.7
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-05-07
  • 录用日期:  2021-06-20
  • 网络出版日期:  2021-07-13
  • 整期出版日期:  2023-02-28

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