On Nonlinear-Evolution of C-type Instability in Nonparallel Boundary Layers

The process of evolution, especially that of nonlinear evolution, of C-type instability of laminar-turbulent flow transition in nonparallel boundary layers are studied by means of a newly developed method called parabolic stability equations (PSE). Initial conditions,which are very important for the nonlinear problem, are investigated by computing initial solution of the harmonic waves, modifying the mean-flow-distortion, and giving initial value of TS wave and its subharmonic waves at initial station by solving linear PSE. A numerical method with high-order accuracy are developed in the text, the key normalization conditions in the PSE are satisfied, and nonlinear PSE are solved efficiently and implemented stably by the spatial marching. It has been shown that the computed process of nonlinear evolution of C-type instability in Blasius boundary layer is in good agreement with the experimental results.

作 者： Liu Jixue Tang Dengbin Yang Yingzhao   作者單位： Liu Jixue(Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;Chengdu Aircraft Design Institute, Chengdu 610041, China)

Tang Dengbin,Yang Yingzhao(Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China) 

刊 名： 中國航空學報（英文版）  ISTIC 英文刊名： CHINESE JOURNAL OF AERONAUTICS  年，卷(期)： 2007 20(4)  分類號： V2  關鍵詞： C-type instability   nonlinear evolution   nonparallelism   boundary layer stability   parabolic stability equations  

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