| On Nonlinear Evolution of C-type Instability in Nonparallel Boundary Layers |
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| 作者姓名： | Liu Jixue Tang Dengbin YangYingzhao |
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| 作者单位： | [1]Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China [2]Chengdu Aircraft Design Institute, Chengdu 610041, China |
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| 基金项目： | 高等学校博士学科点专项科研项目 |
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| 摘 要： | 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.
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| 关 键 词： | C型不稳定性 非线性演化 不平行度 分界线层稳定性 抛物线稳定性方程 |
| 收稿时间： | 30 October 2006 |
| 修稿时间： | 2006-10-30 |
On Nonlinear-Evolution of C-type Instability in Nonparallel Boundary Layers |
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| Liu Jixue Tang Dengbin YangYingzhao.On Nonlinear Evolution of C-type Instability in Nonparallel Boundary Layers[J].Chinese Journal of Aeronautics,2007,20(4):313-319. |
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| Authors: | Liu Jixue Tang Dengbin Yang Yingzhao |
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| Institution: | 1. Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Chengdu Aircraft Design Institute, Chengdu 610041, China |
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| Abstract: | 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. |
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| Keywords: | C-type instability nonlinear evolution nonparallelism boundary layer stability parabolic stability equations Layers Boundary computed boundary layer good experimental results nonlinear spatial marching normalization numerical method accuracy text initial value TS wave subharmonic waves station modifying |
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