PSE as applied to problems of secondary instability in supersonic boundary layers |
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Authors: | Zhang Yong-ming Zhou Heng |
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Affiliation: | Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;LIU Hui Center of Applied Mathematics of Nankai University and Tianjin University, Tianjin 300072, P. R. China |
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Abstract: | Parabolized stability equations (PSE) approach is used to investigate prob-lems of secondary instability in supersonic boundary layers. The results show that the mechanism of secondary instability does work, whether the 2-D fundamental disturbance is of the first mode or second mode T-S wave. The variation of the growth rates of the 3-D sub-harmonic wave against its span-wise wave number and the amplitude of the 2-D fundamental wave is found to be similar to those found in incompressible boundary layers. But even as the amplitude of the 2-D wave is as large as the order 2%, the maximum growth rate of the 3-D sub-harmonic is still much smaller than the growth rate of the most unstable second mode 2-D T-S wave. Consequently, secondary instability is unlikely the main cause leading to transition in supersonic boundary layers. |
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Keywords: | parabolized stability equations secondary instability fundamental distur-bances sub-harmonic waves |
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