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Second mode unstable disturbance measurement of hypersonic boundary layer on cone by wavelet transform

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Abstract

Experimental investigation of hypersonic boundary layer instability on a cone is performed at Mach number 6 in a hypersonic wind tunnel. Time series signals of instantaneous fluctuating surface-thermal-flux are measured by Pt-thin-film thermocouple temperature sensors mounted at 28 stations on the cone surface in the streamwise direction to investigate the development of the unstable disturbance. Wavelet transform is employed as a mathematical tool to obtain the multi-scale characteristics of fluctuating surface-thermal-flux both in the temporal and spectrum space. The conditional sampling algorithm using wavelet coefficient as an index is put forward to extract the unstable disturbance waveform from the fluctuating surface-thermal-flux signals. The generic waveform for the second mode unstable disturbance is obtained by a phase-averaging technique. The development of the unstable disturbance in the streamwise direction is assessed both in the temporal and spectrum space. Our study shows that the local unstable disturbance detection method based on wavelet transformation offers an alternative powerful tool in studying the hypersonic unstable mode of laminar-turbulent transition. It is demonstrated that, at hypersonic speeds, the dominant flow instability is the second mode, which governs the course of laminar-turbulent transition of sharp cone boundary layer.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin University, 300072, Tianjin, China

    Jian Han

  2. Department of Mechanics, Tianjin University, 300072, Tianjin, China

    Jian Han, Nan Jiang & Yan Tian

  3. Tianjin Key Laboratory of Modern Engineering Mechanics, 300072, Tianjin, China

    Nan Jiang & Yan Tian

  4. State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, 100190, Beijing, China

    Nan Jiang

Authors
  1. Jian Han
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  2. Nan Jiang
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  3. Yan Tian
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Corresponding author

Correspondence to Jian Han.

Additional information

The project was supported by the National Natural Science Foundation of China (10832001, 10872145), Opening subject of State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences.

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Han, J., Jiang, N. & Tian, Y. Second mode unstable disturbance measurement of hypersonic boundary layer on cone by wavelet transform. Acta Mech Sin 27, 488–493 (2011). https://doi.org/10.1007/s10409-011-0478-0

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  • DOI: https://doi.org/10.1007/s10409-011-0478-0

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