一神非定常振荡流的稳定性分析  

Stability Study of an Unsteady Oscillation Flow

作　　者：王发民[1] 赵烈[1] 于欣[1] 

机构地区：[1]中国科学院力学所

出　　处：《应用数学和力学》1996年第3期271-282,共12页Applied Mathematics and Mechanics

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．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.

关 键 词：Pfaffian方程 非定常振荡流 稳定性 振荡流 磁力 

分 类 号：O361.5[理学—流体力学]