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扰动的Couette-Poiseuille流的特征值的计算
The Calculation of Eigenvalues for the Stationary Perturbation of Couette-Poiseuille Flow
【摘要】 本文考虑的问题是二维粘性渠流.对0到2000之间的雷诺数,计算了平稳扰动的Couette-Poiseuille流的下游特征值,其特征方程类似于Orr-Sommerfeld方程。所用的方法是谱方法和初值方法(复合矩阵方法).就几种有趣的流量,给出了相应的特征值的计算结果。这些特征值确定了扰动的衰减率.
【Abstract】 The problem considered is that of twe-dimensional viscous flow in a straight channel. The decay of a stationary perturbation from the Couette-Poiseuille flow in the downstream is sought.A differential eigenvalue equation resembling the Orr-Sommerfeld equation is solved by using a spectral method and an initial-value method (the compound matrix method) for values of the Reynolds number R between 0 and 2000.The eigenvalues are presented for several of interesting cases with different measures of mass flux, These eigenvalues determine the rate of decay for the purturbation.
【Key words】 downstream; eigenvalue problem; Coutte-Poiseuille flow;
- 【文献出处】 应用数学和力学 ,APPLIED MATHEMATICS AND MECHANICS , 编辑部邮箱 ,1995年10期
- 【分类号】TV133
- 【下载频次】70