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Effect of Mach number on the absolute/convective stability of compressible planar wakes

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Abstract

In this paper, the influence of the Mach number on the stability of two-dimensional compressible planar wakes is studied to gain physical insight into the turbine wakes. Two-dimensional instabilities of compressible wakes are studied using local spatiotemporal instability analyses. The absolute/convective boundary of a family of wake profiles is obtained at different Mach numbers. Then, local stability analyses of compressible wakes behind flat plates are performed. It is found that in the subsonic region increasing Mach number acts in two ways to modify the instability characteristics in the near wake region: it lengthens the recirculation zone and it reduces the absolute growth rate. These two mechanisms work against each other, which explains why the linear global growth rate varies slightly as Mach number changes in the subsonic region. Further increasing Mach number to 1 would greatly reduce the length of the absolute unstable region due to the occurrence of expansion waves around the trailing edge corner. As a result, the wake is strongly stabilized at \(\hbox {Ma}=1\).

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Acknowledgements

The authors acknowledge financial support from the National Science and Technology Major Project of China (No. 2017-I-0005-0006).

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Authors and Affiliations

  1. Department of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China

    Shuai Wang, Fengbo Wen, Liangjun Su & Xun Zhou

  2. AECC Sichuan Gas Turbine Establishment, Chengdu, 610500, China

    Heng Zhang

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  1. Shuai Wang
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  2. Fengbo Wen
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  3. Heng Zhang
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Correspondence to Fengbo Wen.

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Communicated by Sergio Pirozzoli.

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Wang, S., Wen, F., Zhang, H. et al. Effect of Mach number on the absolute/convective stability of compressible planar wakes. Theor. Comput. Fluid Dyn. 35, 119–130 (2021). https://doi.org/10.1007/s00162-020-00554-8

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