| 一神非定常振荡流的稳定性分析 |
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| 引用本文： | 王发民,赵烈,于欣.一神非定常振荡流的稳定性分析[J].应用数学和力学,1996,17(3):271-282. |
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| 作者姓名： | 王发民 赵烈 于欣 |
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| 作者单位： | 中国科学院力学所, 北京 100080 |
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| 摘 要： | 本文分析了一种非定常振荡的不稳定性问题.其特点是.应用偏微分方程特征理论以及O-S方程特征值的展开,求解扰动波的相函数而不是预先给定扰动波的波动形式.本文研究平面Poiseuille流与其垂向振荡流的组合流动系统.对于连续振荡源导致的波包演化,该系统存在不稳定性.
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| 关 键 词： | Charpsit方法 相函数 Pfaffian方程 |
| 收稿时间： | 1995-09-02 |
Stability Study of an Unsteady Oscillation Flow |
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| M.Wang,Zhao Lie,Yu Xin.Stability Study of an Unsteady Oscillation Flow[J].Applied Mathematics and Mechanics,1996,17(3):271-282. |
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| Authors: | MWang Zhao Lie Yu Xin |
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| Institution: | Instilute of Mechanics. Academia Sinica, Beijing 100080, P. R. China |
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| Abstract: | In this paper,an instability problem of an unsteady oscillation flow is studied.In particular,the phase function of the disturbance wave system is solved by uting the characteristic theory of partial differential equation and an expan sion of Orr-sommerfeld eigenvalue problem,insteade of using the disturbance model which was given previously.The flow considered is a combination of plane Poiseuille flow with a flow oscillating periodically and its instability is found for a spedal initial value of a developing wave due to continuous oscillating source. |
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| Keywords: | Charpsit's method phase function Pfaffian equation |
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