ZHANG Yong-ming, ZHOU Heng. PSE as Applied to Problems of Secondary Instability in Supersonic Boundary Layers[J]. Applied Mathematics and Mechanics, 2008, 29(1): 1-7.
Citation: ZHANG Yong-ming, ZHOU Heng. PSE as Applied to Problems of Secondary Instability in Supersonic Boundary Layers[J]. Applied Mathematics and Mechanics, 2008, 29(1): 1-7.

PSE as Applied to Problems of Secondary Instability in Supersonic Boundary Layers

  • Received Date: 2007-12-04
  • Rev Recd Date: 2007-12-19
  • Publish Date: 2008-01-15
  • Parabolized stability equations (PSE) approach is used to investigate problems 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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