Absolute/convective instabilities and the convective Mach number in a compressible mixing layer

Absolute/convective instabilities and the convective Mach number in a compressible mixing layer
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可压缩混合层中的绝对/对流不稳定性和对流马赫数

DOI:
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发表时间:
1989
期刊:
影响因子:
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通讯作者:
C. Grosch
C. Grosch
中科院分区:
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文献类型:
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作者:
T. Jackson;C. Grosch

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本文考虑了可压缩混合层稳定性的两个方面:绝对/对流不稳定性和对流马赫数。结果表明,对于小于1的马赫数,可压缩混合层是对流不稳定的,除非有相当数量的回流。本文还根据线性稳定性理论对混合层中多组分气体的对流马赫数进行了严格的推导。特别是,该定义基于实验室框架中的自由流马赫数,与大型结构的速度和最不稳定波的速度无关。的结果进行比较与启发式定义的其他人和选定的实验结果。
In this paper two aspects of the stability of a compressible mixing layer are considered: absolute/convective instability and the convective Mach number. It is shown that, for Mach numbers less than unity, the compressible mixing layer is convectively unstable unless there is an appreciable amount of backflow. A rigorous derivation of a convective Mach number based on linear stability theory for the flow of a multispecies gas in a mixing layer is also presented. In particular, the definition is based on the free‐stream Mach number in the laboratory frame and is independent of the speed of the large‐scale structures and the speed of the most unstable wave. The result is compared with the heuristic definitions of others and to selected experimental results.