On the linear stability of compressible plane Couette flow
On the linear stability of compressible plane Couette flow
复制标题
可压缩平面Couette流的线性稳定性
DOI：
10.1017/s0022112094003277
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发表时间：
1994
影响因子：
3.7
通讯作者：
M. Y. Hussaini
中科院分区：
文献类型：
--
作者：
P. Duck;G. Erlebacher;M. Y. Hussaini
研究了可压缩平面Couette流的线性稳定性。适当的基本速度和温度分布的扰动由一个小振幅的正常模式扰动。在有限雷诺数下，数值求解了完整的小振幅扰动方程，并详细研究了这些方程的无粘极限。据发现，不稳定性可能会发生，虽然相应的增长率往往是相当小的流动的稳定性特征是完全不同的无界流动。粘度的影响也计算，渐近，并显示在所有的情况下，有一个稳定的作用。异常制度的问题发生时，波的速度的干扰接近的速度的墙壁，这些制度也进行了一些详细的分析。最后，施加辐射型边界条件上的上部（移动）壁（在不渗透性的地方）的影响进行了研究，并产生的结果共同的有界和无界流。
The linear stability of compressible plane Couette flow is investigated. The appropriate basic velocity and temperature distributions are perturbed by a small-amplitude normal-mode disturbance. The full small-amplitude disturbance equations are solved numerically at finite Reynolds numbers, and the inviscid limit of these equations is then investigated in some detail. It is found that instabilities can occur, although the corresponding growth rates are often quite small; the stability characteristics of the flow are quite different from unbounded flows. The effects of viscosity are also calculated, asymptotically, and shown to have a stabilizing role in all the cases investigated. Exceptional regimes to the problem occur when the wave speed of the disturbances approaches the velocity of either of the walls, and these regimes are also analysed in some detail. Finally, the effect of imposing radiation-type boundary conditions on the upper (moving) wall (in place of impermeability) is investigated, and shown to yield results common to both bounded and unbounded flows.