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Wavelet Cross-Spectrum Analysis of Multi-Scale Disturbance Instability and Transition on Sharp Cone Hypersonic Boundary Layer |
HAN Jian1,2;JIANG Nan 2.3 |
1Department of Mathematics, Tianjin University, Tianjin 3000722Department of Mechanics, Tianjin University, Tianjin 3000723Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin University, Tianjin 300072 |
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Cite this article: |
HAN Jian, JIANG Nan . 2008 Chin. Phys. Lett. 25 1731-1733 |
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Abstract Experimental measurement of hypersonic boundary layer stability and transition on a sharp cone with a half angle of 5° is carried out at free-coming stream Mach number 6 in a hypersonic wind tunnel. Mean and fluctuation surface-thermal-flux characteristics of the hypersonic boundary layer flow are measured by Pt-thin-film thermocouple temperature sensors installed at 28 stations on the cone surface along longitudinal direction. At hypersonic speeds, the dominant flow instabilities demonstrate that the growth rate of the second mode tends to exceed that of the low-frequency mode. Wavelet-based cross-spectrum technique is introduced to obtain the multi-scale cross-spectral characteristics of the fluctuating signals in the frequency range of the second mode. Nonlinear interactions both of the second mode disturbance and the first mode disturbance are demonstrated to be dominant instabilities in the initial stage of laminar-turbulence transition for hypersonic shear flow.
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Keywords:
47.15.Cb
47.15.Fe
47.20.Ft
47.20.Ky
47.27.Cn
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Received: 09 February 2008
Published: 29 April 2008
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PACS: |
47.15.Cb
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(Laminar boundary layers)
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47.15.Fe
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(Stability of laminar flows)
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47.20.Ft
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(Instability of shear flows (e.g., Kelvin-Helmholtz))
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47.20.Ky
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(Nonlinearity, bifurcation, and symmetry breaking)
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47.27.Cn
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(Transition to turbulence)
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47.27.Nz
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47.40.Ki
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(Supersonic and hypersonic flows)
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