Effect of cone rotation on the nonlinear evolution of Mack modes in supersonic boundary layers
文献类型：期刊论文
| 作者 | Song, Runjie3; Dong, Ming2,3; Zhao, Lei1 |
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2023-09-12 |
| 卷号 | 971页码:48 |
| ISSN号 | 0022-1120 |
| 关键词 | boundary layer stability supersonic flow transition to turbulence |
| DOI | 10.1017/jfm.2023.629 |
| 通讯作者 | Dong, Ming(dongming@imech.ac.cn) ; Zhao, Lei(lei_zhao@tju.edu.cn) |
| 英文摘要 | In this paper, we present a systematic study of the nonlinear evolution of the travelling Mack modes in a Mach 3 supersonic boundary layer over a rotating cone with a 7 degrees half-apex angle using the nonlinear parabolic stability equation (NPSE). To quantify the effect of cone rotation, six cases with different rotation rates are considered, and from the same streamwise position, a pair of oblique Mack modes with the same frequency but opposite circumferential wavenumbers are introduced as the initial perturbations for NPSE calculations. As the angular rotation rate Omega increases such that Omega($) over bar (defined as the ratio of the rotation speed of the cone to the streamwise velocity at the boundary-layer edge) varies from 0 to O(1), three distinguished nonlinear regimes appear, namely the oblique-mode breakdown, the generalised fundamental resonance and the centrifugal-instability-induced transition. For each regime, the mechanisms for the amplifications of the streak mode and the harmonic travelling waves are explained in detail, and the dominant role of the streak mode in triggering the breakdown of the laminar flow is particularly highlighted. Additionally, from the linear stability theory, the dominant travelling mode undergoes the greatest amplification for a moderate Omega, which, according to the e(N) transition-prediction method, indicates premature transition to turbulence. However, this is in contrast to the NPSE results, in which a delay of the transition onset is observed for a moderate Omega. Such a disagreement is attributed to the different nonlinear regimes appearing for different rotation rates. Therefore, the traditional transition-prediction method based on the linear instability should be carefully employed if multiple nonlinear regimes may appear. |
| WOS关键词 | NON-LINEAR MECHANICS ; UNSTABLE PARALLEL FLOWS ; ABSOLUTE INSTABILITY ; SECONDARY INSTABILITY ; TURBULENT TRANSITION ; WAVE DISTURBANCES ; LOWER BRANCH ; STABILITY ; BREAKDOWN ; RECEPTIVITY |
| 资助项目 | National Science Foundation of China[11988102] ; National Science Foundation of China[U20B2003] ; National Science Foundation of China[12002235] ; Strategic Priority Research Program, CAS[XDB22040104] |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001063399800001 |
| 资助机构 | National Science Foundation of China ; Strategic Priority Research Program, CAS |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/92939]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 通讯作者 | Dong, Ming; Zhao, Lei |
| 作者单位 | 1.Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China 2.Peking Univ, Sino Russian Math Ctr, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Song, Runjie,Dong, Ming,Zhao, Lei. Effect of cone rotation on the nonlinear evolution of Mack modes in supersonic boundary layers[J]. JOURNAL OF FLUID MECHANICS,2023,971:48. |
| APA | Song, Runjie,Dong, Ming,&Zhao, Lei.(2023).Effect of cone rotation on the nonlinear evolution of Mack modes in supersonic boundary layers.JOURNAL OF FLUID MECHANICS,971,48. |
| MLA | Song, Runjie,et al."Effect of cone rotation on the nonlinear evolution of Mack modes in supersonic boundary layers".JOURNAL OF FLUID MECHANICS 971(2023):48. |
入库方式： OAI收割
来源：力学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。