一神非定常振荡流的稳定性分析
Stability Study of an Unsteady Oscillation Flow
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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
Abstract: In ihis paper.an instability problem of an unsteady oscillationo flow is studied.In particultar,the phase.function of the disturbance wave.system is soived by using the charocteristic theory of partial differential equation and an expansion of Orysommerfeid eigenvalue problem.instead of using the disturbance model which is given previously The.flow considered is a combination of plane Poiseuille.flow with aflow oscillating periodically and its instability is found for a special initial value of a developing wave due to continuous oscillationg source.-
Key words:
- Charpsit’s method /
- phase function /
- Pfaffian equation
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[1] Wang F.M.,J.T.Stuart and T.W.Ng,An expansion of Orr-Sommerfeld eigenvalue problem.Chinese Journal of Numerical Mathematics and Applications,15(1993). [2] J.T.Stuart,Laminar Boundary Layer,Cambridge University Press,London,(1960). [3] A.Cameron,Basic Ltthrication Theory.John Wiley & Sons,Ltd.London,(1976). [4] I.N.Snedden,Element of Partial differential Equation,Cambridge University Press,London,(1976). [5] A.R.Forsyth,Theory of Differential Equation,Oxford University Press,(1980). -
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