Inviscid spatial stability of a compressible mixing layer
Inviscid spatial stability of a compressible mixing layer
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DOI：
10.1017/s002211208900296x
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发表时间：
1989-11
影响因子：
3.7
通讯作者：
T. Jackson;C. Grosch
中科院分区：
文献类型：
--
作者：
T. Jackson;C. Grosch
本文给出了平行可压缩混合层无粘空间稳定性的结果。本研究的参数是运动流的马赫数、静止流的温度与运动流的温度的比率、频率和扰动波的传播方向。作为这些参数的函数的流动的稳定性特性。结果表明，当马赫数超过某一临界值时，总有两组不稳定波。其中一组速度快，相速度大于1/2，相对于静止流是超音速的。另一种是相速度小于1/2的低速，相对于运动的气流是超音速的。中性和不稳定模式的相速度，以及不稳定模式的增长率。最后，我们表明，三维模式具有相同的一般行为的二维模式，但具有较高的增长率在一定范围内的传播方向。
We present the results of the inviscid spatial stability of a parallel compressible mixing layer. The parameters of this study are the Mach number of the moving stream, the ratio of the temperature of the stationary stream to that of the moving stream, the frequency, and the direction of propagation of the disturbance wave. Stability characteristics of the flow as a function of these parameters are given. It is shown that if the Mach number exceeds a critical value there are always two groups of unstable waves. One of these groups is fast with phase speeds greater than ½ and is supersonic with respect to the stationary stream. The other is slow with phase speeds less than ½ and supersonic with respect to the moving stream. Phase speeds for the neutral and unstable modes are given, as well as growth rates for the unstable modes. Finally, we show that three-dimensional modes have the same general behaviour as the two-dimensional modes but with higher growth rates over some range of propagation direction.