| 摄动的Poiseuille流的上游特征值的渐近分析 |
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| 引用本文： | 宋金宝,陈建宁.摄动的Poiseuille流的上游特征值的渐近分析[J].内蒙古大学学报(自然科学版),1994,25(6):609-613. |
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| 作者姓名： | 宋金宝 陈建宁 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 考虑的问题是二维粘性渠流．当雷诺数Ｒ→０和Ｒ→＋∞时，讨论了Ｐｏｉｓｅｕｉｌｌｅ流在定常的摄动下的上游特征值的渐近性质，结果表明，Ｗｉｌｓｏｎ（１９６９）对该问题的下游特征值的分析也适用于上游的分析，且上游特征值的渐近结果与已有的Ｂｒａｍｌｅｙ和Ｄｅｎｎｉｓ（１９８２）的数值结果是一致的．
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| 关 键 词： | 特征值 摄动 二维 粘性渠流 渐近分析 |
Asymptotic Analysis of Eigenvalues for Stationary Perturbation of Poiseuille Flow in the Upstream |
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| Song Jinbao Chen Jianning.Asymptotic Analysis of Eigenvalues for Stationary Perturbation of Poiseuille Flow in the Upstream[J].Acta Scientiarum Naturalium Universitatis Neimongol,1994,25(6):609-613. |
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| Authors: | Song Jinbao Chen Jianning |
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| Abstract: | he problem considered is that of two-dimensional viscous flow in a straight channel.Thebehavior of eigenvalues for the stationary perturbation of Poiseuille flow in the upstream for smalland large Reynolds numbers is studied.Results show that the method used by Wilson(1969)forthe downstrem is still valid for the upstream. Furthermore,asympotic results of eigenvalues in theupstream for small and large Reynolds numbers are in agreement with the numerical results ofBramley and Dennis(1982). |
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| Keywords: | Poiseuille flow stationary perturbation upstream eigenvalue |
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