| 扰动的Couette－Poiseuille流的特征值的计算 |
| |
| 引用本文： | 宋金宝,陈建宁. 扰动的Couette－Poiseuille流的特征值的计算[J]. 应用数学和力学, 1995, 16(10): 917-926 |
| |
| 作者姓名： | 宋金宝 陈建宁 |
| |
| 作者单位： | 内蒙古大学数学系 呼和浩特 010021 |
| |
| 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。
|
| 关 键 词： | 下游 特征值问题 Couette－Poiseuille流 |
| 收稿时间： | 1994-12-30 |
The Calculation of Eigenvalues for the Stationary Perturbation of Couette-Poiseuille Flow |
| |
| Song Jinbao Chen Jianning. The Calculation of Eigenvalues for the Stationary Perturbation of Couette-Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1995, 16(10): 917-926 |
| |
| Authors: | Song Jinbao Chen Jianning |
| |
| Affiliation: | Department of Mathemaics, University of Inner Mongolia, Huhehaote 010021, P. R. China |
| |
| 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. |
| |
| Keywords: | downstream eigenvalue problem Coutte-Poiseuille flow |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学》下载全文 |
