同心圆管间无粘可压缩旋转流动的稳定性研究

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Investigation of the Stability for Inviscid Compressible Swirling Flow Between Concentric Cylinders

摘要: 本文主要研究了两个同心圆管之间无粘可压缩旋转流动的稳定性问题.首先推导出了关于径向扰动速度分量的可压缩线化微分方程.利用类似于Ludwieg的分析方法,推导了可压缩旋转流的两个稳定性准则.然后用有限差分方法数值求解了本征值问题,给出了时间增长率,并验证了稳定性准则的正确性.最后讨论了压缩性对稳定性的影响.

Abstract: The temporal stability on inviscid compressible swirling flow between two concentric cylinders is investigated. First, a linearized differential equation is derived. Two stability criteria are derived for compressible swirling flow by an analytic method analogous to Ludwieg 's method. A finite-difference numerical method is then used to solve the eigenvalue problem of this differential equation, to get temporal growth rate and to check these stabilitv criteria derived. Finally,the effect of compressibility for stability is disscused.

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