二元气体混合层的稳定性分析  

Stability Analysis of Binary Gas Mixing Layers

作　　者：高军[1] 李佳 刘凤君[3] 时晓天[1] 袁湘江[1] GAO Jun;LI Jia;LIU Fengjun;SHI Xiaotian;YUAN Xiangjiang(China Academy of Aerospace Aerodynamics,Beijing 100074,P.R.China;Foundation Department,Tangshan College,Tangshan,Hebei 053000,P.R.China;Beijing Power Machinery Institute,Beijing 100074,P.R.China)

机构地区：[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

出　　处：《应用数学和力学》2018年第9期1030-1042,共13页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(51476152;11302213)~~

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.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,2 D and3 D waves on the stability were studied. The results of linear stability indicate that,the maximum growth rate of the 1 st mode is always larger than that of the 2 nd mode,and the maximum growth rates of the 1 st and 2 nd modes are suppressed with the increasing convective Mach number.

关 键 词：线性稳定性 混合层 二元气体 对流Mach数 相似性解 

分 类 号：O357.4[理学—流体力学]