## 留言板

 引用本文: 范绪箕, 楼卓时. 二维平板可压缩边界层的二次稳定性分析[J]. 应用数学和力学, 1999, 20(5): 486-490.
Fan Xuji, Lou Zhuoshi. Analysis and Calculation of Secondary Instability of Two-Dimensional Compressible Boundary Layer Flows of A Plate[J]. Applied Mathematics and Mechanics, 1999, 20(5): 486-490.
 Citation: Fan Xuji, Lou Zhuoshi. Analysis and Calculation of Secondary Instability of Two-Dimensional Compressible Boundary Layer Flows of A Plate[J]. Applied Mathematics and Mechanics, 1999, 20(5): 486-490.

## 二维平板可压缩边界层的二次稳定性分析

###### 作者简介:范绪箕(1914~ ),男,教授,上海交大前校长,发表论文40余篇,获1978年全国科学大会一等奖,1985年国家科技进步奖等多项国家级奖励.
• 中图分类号: V211.3

## Analysis and Calculation of Secondary Instability of Two-Dimensional Compressible Boundary Layer Flows of A Plate

• 摘要: 本文在二维可压缩边界层中应用Floquet分析,建立了控制次谐波稳定性的方程组,研究在二维可压缩边界层转捩过程中二维有限振幅的T-S波对三维线性小扰动的作用,并计算了来流马赫数对次谐波的产生和发展情况的影响,从中可以看出二维和三维扰动波相互作用对二维可压缩流动边界层的发展过程所产生的影响.
•  [1] Herbert T.Secondary instability of boundary layers[J].Annual Rev of Fluid Mech,1988,20:487～652. [2] 陈矛章编.粘性流体动力学基础[M],北京:高等教育出版社,1993. [3] Mack L M.Review of linear compressible stability theory[A],Stability for Time Dependent and Spatially Varying Flows,edited by D L.Dwoyer and M Y Hussaini,New York:Springer-Verlag,1985,164～187. [4] Mack L M.Boundary Layer Stability Theory,NASA CR-131501[R],1969. [5] Brown W B.Stability of compressible boundary layer[J].AIAAJ,1967,5(10):1753～1759. [6] Crout P D.A Short method of evaluating determinants and solving systems of linear equations[J].Trans Am Inst Elec Engrs,1941,60(1):12～35. [7] Scout M R,Wats H A.Computational solution of linear two-point boundary value problems via orthonormalization[J].SIAM Jourmal of Numerical Analysis,1977,14(1):40～70. [8] Nayfeh A H.Three-dimensional spatial secondary instability in boundary layer flows[R].AIAA,85-169,1995.

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##### 出版历程
• 收稿日期:  1997-01-26
• 修回日期:  1999-03-20
• 刊出日期:  1999-05-15

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