二元气体混合层的稳定性分析

高军; 李佳; 刘凤君; 时晓天; 袁湘江

doi:10.21656/1000-0887.390064

二元气体混合层的稳定性分析

doi: 10.21656/1000-0887.390064

¹中国航天空气动力技术研究院,北京 100074;²唐山学院基础教学部, 河北唐山 063000;³北京动力机械研究所, 北京 100074

基金项目: 国家自然科学基金(51476152;11302213）

详细信息

作者简介:
高军（1985—），男，工程师，博士（E-mail: gaojun856@163.com）;时晓天（1981—），男，研究员，博士(通讯作者. E-mail: xxtshi@163.com).

中图分类号: O357.4
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- 被引次数: 0
出版历程
- 收稿日期: 2018-02-27
- 修回日期: 2018-05-16
- 刊出日期: 2018-09-15

Stability Analysis of Binary Gas Mixing Layers

¹China Academy of Aerospace Aerodynamics, Beijing 100074, P.R.China;²Foundation Department, Tangshan College, Tangshan, Hebei 063000, P.R.China;¹Beijing Power Machinery Institute, Beijing 100074, P.R.China

Funds: The National Natural Science Foundation of China(51476152;11302213）

摘要

摘要: 针对氧气和氮气构成的两组分气体混合层流动，采用线性稳定性理论分析了流动的线性失稳特性.两组分气体混合层的基本流剖面由相似性解给出.首先研究了对流Mach(马赫)数对相似性解剖面的影响；然后重点考察了对流Mach数、二维和三维扰动对稳定性的影响.线性稳定性理论的结果表明，第一模态最不稳定波的最大增长率始终大于第二模态波.随着对流Mach数的增加，混合层中的第一模态和第二模态的最大增长率都受到抑制.
- 线性稳定性 /
- 混合层 /
- 二元气体 /
- 对流Mach数 /
- 相似性解
Abstract: For the mixing layer flow composed of oxygen and nitrogen, the linear stability analysis was utilized to investigate the stability characteristics. The basic flow profile of the binary gas mixing layers was obtained from the similar solution. The effects of the convective Mach number on the similar solution were firstly investigated. Then, the influences of the convective Mach number, 2D and 3D waves on the stability were studied. The results of linear stability indicate that, the maximum growth rate of the 1st mode is always larger than that of the 2nd mode, and the maximum growth rates of the 1st and 2nd modes are suppressed with the increasing convective Mach number.
- linear stability /
- mixing layer /
- binary gas /
- convective Mach number /
- similar solution

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参考文献(18)

[1]	何国强, 秦飞, 魏祥庚, 等. 火箭冲压组合发动机燃烧的若干基础问题研究[J]. 实验流体力学, 2016,30(1): 1-14.(HE Guoqiang, QIN Fei, WEi Xianggeng, et al. Investigation of several fundamental combustion problems in rocket-based combined-cycle engines[J]. Journal of Experiments in Fluid Mechanics,2016,30(1): 1-14.(in Chinese))
[2]	李睿劬, 马汉东. 高超声速边界层气动光学研究综述[J]. 气体物理, 2015,10(2): 17-28.(LI Ruiqu, MA Handong. Summary on hypersonic boundary-layer aero-optical investigations[J]. Physics of Gases,2015,10(2): 17-28.(in Chinese))
[3]	甘才俊, 熊红亮, 马汉东. 可压缩混合层气动光学效应研究[J]. 计算物理, 2010,27(1): 65-72.(GAN Caijun, XIONG Hongliang, MA Handong. Aero-optical effect in compressible mixing layer[J]. Chinese Journal of Computational Physics,2010,27(1): 65-72.(in Chinese))
[4]	杨志洋, 赵磊, 罗纪生. 超音速后掠椭圆柱横流定常涡的不稳定特性及转捩预测[J]. 应用数学和力学, 2017,38(8): 853-862.(YANG Zhiyang, ZHAO Lei, LUO Jisheng. Instability and transition prediction of stationary crossflow vortices over supersonic swept elliptic cylinders[J]. Applied Mathematics and Mechanics,2017,38(8): 853-862.(in Chinese))
[5]	MICHALKE A. On spatially growing disturbances in aninviscid shear layer[J]. Journal of Fluid Mechanics,1965,23(3): 521-544.
[6]	BLUMEN W, DRAZIN P G, BILLINGS D F. Shear layer instability of an inviscid compressible fluid: part 2[J]. Journal of Fluid Mechanics,1975,71(2): 305-316.
[7]	JACKSON T L, GROSCH C E. Inviscid spatial stability of a compressible mixing layer[J]. Journal of Fluid Mechanics,1989,217: 609-637.
[8]	罗纪生, 吕祥翠. 超音速混合层稳定性分析及增强混合的研究[J]. 力学学报, 2004,36(2): 202-207.(LUO Jisheng, L Xiangcui. Investigation on stability of 3-D supersonic mixing layer and method of enhancing the mixing[J]. ACTA Mechanica Sinica,2004,36(2): 202-207.(in Chinese))
[9]	王强, 傅德薰, 马延文. 可压缩平面混合层稳定性数值计算[J]. 计算物理, 1997,14(4/5): 413-416.(WANG Qiang, FU Dexun, MA Yanwen. A numerical investigation of the stability of compressible plane mixing layers[J]. Chinese Journal of Computational Physics,1997,14(4/5): 413-416.(in Chinese))
[10]	杨武兵, 庄逢甘, 沈清. 可压缩混合层流动近十年研究进展[J]. 力学进展, 2008,38(1): 62-76.(YANG Wubing, ZHUANG Fenggan, SHEN Qing. Advances in the study of compressible mixing layer in recent ten years[J]. Advances in Mechanics,2008,38(1): 62-76.(in Chinese))
[11]	沈清, 袁湘江, 王强, 等. 可压缩边界层与混合层失稳结构的研究进展及其工程应用[J]. 力学进展, 2012,42(3): 252-261.(SHEN Qing, YUAN Xiangjiang, WANG Qiang, et al. Review on the instability structure in compressible boundary layers and mixing layers and its application[J].Advances in Mechanics,2012,42(3): 252-261.(in Chinese))
[12]	KOZUSKO F, LASSEIGNE D G, GROSH C E, et al. The stability of compressible mixing layers in binary gases[J].Physics of Fluids,1996,8(7): 1954-1963.
[13]	LEONARDO S, MARCIO T M. Spatial and temporal linear stability analysis of binary compressible shear layer[C]//AIAA 38th Fluid Dynamics Conference and Exhibit . Seattle, Washington, USA, 2008.
[14]	OKONG N A, BELLAN J. Real gas effects on mean flow and temporal stability of binary-species mixing layers[J]. AIAA Journal,2003,41(12): 2429-2443.
[15]	FEDIOUN I, LARDJANE N. Temporal linear stability analysis of three-dimensional compressible binary shear layers[J]. AIAA Journal,2005,43(1): 111-123.
[16]	MENDONCA M T. Linear stability analysis of binary compressible mixing layers modified by a jet or a wake deficit[C]//52nd Aerospace Sciences Meeting . 2014: 1444. DOI: 10.2514/6.2014-1444.
[17]	SHIN D S, FERZIGER J H. Linear stability of the reacting mixing layer[J]. AIAA Journal,1991,〖STHZ〗 29(10): 1634-1642.
[18]	DAY M J, REYNOLDS W C, MANSOUR N N. The structure of the compressible reacting mixing layer: Insights from linear stability analysis[J]. Physics of Fluid,1998,10(4): 993-1007.