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

作　　者：宋金宝[1] 陈建宁[1] 

机构地区：[1]内蒙古大学数学系

出　　处：《应用数学和力学》1995年第10期917-926,共10页Applied Mathematics and Mechanics

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．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.

关 键 词：特征值 C-P流 渠流 平稳扰动 粘性流 

分 类 号：TV133[水利工程—水力学及河流动力学]