PSE as applied to problems of secondary instability in supersonic boundary layer

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PSE as applied to problems of secondary instability in supersonic boundary layers

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.水利论文a5sv p5Q)br%F"?F

作 者: ZHANG Yong-ming ZHOU Heng  
作者单位:ZHANG Yong-ming(Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China)水利论文!j~ D,XoCo T
ZHOU Heng(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) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2008 29(1) 
分类号:O357.41 
关键词:parabolized stability equations   secondary instability   fundamental distur-bances   sub-harmonic waves  
机标关键词:boundary layerssecondary instabilitygrowth ratesfundamental wave 
基金项目:国家自然科学基金,Foundation of LIU Hui Center of Applied Mathematics of Nankai University and Tianjin University 
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