扰动的Couette－Poiseuille流的特征值的计算

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The Calculation of Eigenvalues for the Stationary Perturbation of Couette-Poiseuille Flow

Department of Mathemaics, University of Inner Mongolia, Huhehaote 010021, P. R. China

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。
- 下游 /
- 特征值问题 /
- Couette－Poiseuille流
Abstract: The problem considered is that of two-dimensional viscous flow in a straightchannel.The decay of a stationary perturbation from the Couette=Poiseuille flow in the douwnstream 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 O and 2000.The eigenvalues are presemed for several of interesting cases with differentmeasures of mass flux These eigenvalues derermine the rate of decay for the purturbation.
- downstream /
- eigenvalue problem /
- Couette-Poiseuille flow

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