中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Linear instability of a supersonic boundary layer over a rotating cone

文献类型:期刊论文

作者Song RJ(宋润杰); Dong M(董明)
刊名JOURNAL OF FLUID MECHANICS
出版日期2023-01-18
卷号955页码:40
ISSN号0022-1120
关键词boundary layer stability compressible boundary layers shear-flow instability
DOI10.1017/jfm.2022.1087
通讯作者Dong, Ming(dongming@imech.ac.cn)
英文摘要In this paper, we conduct a systematic study of the instability of a boundary layer over a rotating cone that is inserting into a supersonic stream with zero angle of attack. The base flow is obtained by solving the compressible boundary-layer equations using a marching scheme, whose accuracy is confirmed by comparing with the full Navier-Stokes solution. Setting the oncoming Mach number and the semi-apex angle to be 3 and 7 degrees, respectively, the instability characteristics for different rotating rates ((Omega) over bar, defined as the ratio of the rotating speed of the cone to the axial velocity) and Reynolds numbers (R) are revealed. For a rather weak rotation, (Omega) over bar << 1, only the modified Mack mode (MMM) exists, which is an extension of the supersonic Mack mode in a quasi-two-dimensional boundary layer to a rotation configuration. Further increase of (Omega) over bar leads to the appearance of a cross-flow mode (CFM), coexisting with the MMM but in the quasi-zero frequency band. The unstable zones of the MMM and CFM merge together, and so they are referred to as the type-I instability. When (Omega) over bar is increased to an O(1) level, an additional unstable zone emerges, which is referred to as the type-II instability to be distinguished from the aforementioned type-I instability. The type-II instability appears as a centrifugal mode (CM) when R is less than a certain value, but appears as a new CFM for higher Reynolds numbers. The unstable zone of the type-II CM enlarges as (Omega) over bar increases. The vortex structures of these types of instability modes are compared, and their large-R behaviours are also discussed.
分类号一类/力学重要期刊
WOS关键词CROSS-FLOW INSTABILITY ; UNSTEADY GORTLER VORTICES ; ABSOLUTE INSTABILITY ; CONVECTIVE INSTABILITIES ; NONLINEAR EVOLUTION ; TRANSITION ; STABILITY ; MODES ; DISTURBANCES ; EXCITATION
资助项目National Science Foundation of China[U20B2003] ; National Science Foundation of China[11988102] ; Strategic Priority Research Program, CAS[XDB22040104]
WOS研究方向Mechanics ; Physics
语种英语
WOS记录号WOS:000918689400001
资助机构National Science Foundation of China ; Strategic Priority Research Program, CAS
其他责任者Dong, Ming
源URL[http://dspace.imech.ac.cn/handle/311007/91552]  
专题力学研究所_非线性力学国家重点实验室
推荐引用方式
GB/T 7714
Song RJ,Dong M. Linear instability of a supersonic boundary layer over a rotating cone[J]. JOURNAL OF FLUID MECHANICS,2023,955:40.
APA 宋润杰,&董明.(2023).Linear instability of a supersonic boundary layer over a rotating cone.JOURNAL OF FLUID MECHANICS,955,40.
MLA 宋润杰,et al."Linear instability of a supersonic boundary layer over a rotating cone".JOURNAL OF FLUID MECHANICS 955(2023):40.

入库方式: OAI收割

来源:力学研究所

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