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

ZHANG Yong-ming; ZHOU Heng

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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.

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.

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

ZHANG Yong-ming¹,
ZHOU Heng^1,2

1.
Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;

Received Date: 2007-12-04
Rev Recd Date: 2007-12-19
Publish Date: 2008-01-15

Abstract

Abstract

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.
- parabolized stability equations,
- secondary instability,
- fundamental disturbances,
- subharmonic waves

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References(13)

References

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