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二维平板可压缩边界层的二次稳定性分析
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.
作者姓名:范绪箕  楼卓时
作者单位:上海交通大学, 上海 200030
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.

关 键 词:可压缩边界层    二次失稳    扰动
文章编号:1000-0887(1999)05-0486-05
收稿时间:1997-01-26

Analysis and Calculation of Secondary Instability of Two-Dimensional Compressible Boundary Layer Flows of A Plate
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.
Authors:Fan Xuji  Lou Zhuoshi
Institution:Shanghai Jiaotong University, Shanghai 200030, P R China
Abstract:Thia paper used the Floquet's three_dimensional linear stability theory in the analysis of two_dimensional compressible boundary layer, a set of stability equations is constructed, the effect of three dimensional linear small perturbation on the two_dimensional compressible boundary layer transition is studied, and the effect of coming flow Ma number on growth and development of the subharmonics is calculated. It can be seen from the calculations, the effect caused by the interaction of two_dimensional and three_dimensional perturbation waves on the development of two_dimensional compressible laminar boundary layer.
Keywords:compressible boundary layer  secondary instability  perturbation
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