Inviscid spatial stability of a three-dimensional compressible mixing layer
Inviscid spatial stability of a three-dimensional compressible mixing layer
复制标题
三维可压缩混合层的无粘空间稳定性
DOI：
10.1017/s0022112091003300
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发表时间：
1991
影响因子：
3.7
通讯作者：
T. Jackson
中科院分区：
文献类型：
--
作者：
C. Grosch;T. Jackson
本文研究了平行三维可压缩混合层的无粘空间稳定性。本研究的参数是快流的马赫数、慢流的速度与快流的速度的比率、慢流的温度与快流的温度的比率、快流中横流的方向、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。某些理论结果表明这些参数之间的相互关系和它们对稳定性的影响。特别地，马赫数为零时三维混合层的三维稳定性问题可以转化为等效二维平均流的二维稳定性问题。存在一个单参数曲线族，使得对于任何给定的平均流和波传播方向，都可以应用这种变换并从通用曲线获得增长率。对于超音速对流马赫数，横流角和扰动传播角的某些组合可使增长率增加约2倍。从而增强混合。
We present the results of a study of the inviscid spatial stability of a parallel three-dimensional compressible mixing layer. The parameters of this study are the Mach number of the fast stream, the ratio of the speed of the slow stream to that of the fast stream, the ratio of the temperature of the slow stream to that of the fast stream, the direction of the crossflow in the fast 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. Certain theoretical results are presented which show the interrelations between these parameters and their effects on the stability characteristics. In particular, the three-dimensional stability problem for a three-dimensional mixing layer at Mach zero can be transformed to a two-dimensional stability problem for an equivalent two-dimensional mean flow. There exists a one-parameter family of curves such that for any given direction of mean flow and of wave propagation one can apply this transformation and obtain the growth rate from the universal curves. For supersonic couvective Mach numbers, certain combinations of crossflow angle and propagation angle of the disturbance can increase the growth rates by a factor of about two. and thus enhance mixing.