| Effect of cone rotation on the nonlinear evolution of Mack modes in supersonic boundary layers | |
| Song RJ(宋润杰)1; Dong M(董明)1,2; Zhao, Lei3 | |
| Corresponding Author | Dong, Ming([email protected]) ; Zhao, Lei([email protected]) |
| Source Publication | JOURNAL OF FLUID MECHANICS
 |
| 2023-09-12 | |
| Volume | 971Pages:48 |
| ISSN | 0022-1120 |
| Abstract | 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. |
| Keyword | boundary layer stability supersonic flow transition to turbulence |
| DOI | 10.1017/jfm.2023.629 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001063399800001 |
| WOS Keyword | NON-LINEAR MECHANICS ; UNSTABLE PARALLEL FLOWS ; ABSOLUTE INSTABILITY ; SECONDARY INSTABILITY ; TURBULENT TRANSITION ; WAVE DISTURBANCES ; LOWER BRANCH ; STABILITY ; BREAKDOWN ; RECEPTIVITY |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | National Science Foundation of China[11988102] ; National Science Foundation of China[U20B2003] ; National Science Foundation of China[12002235] ; Strategic Priority Research Program, CAS[XDB22040104] |
| Funding Organization | National Science Foundation of China ; Strategic Priority Research Program, CAS |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Dong, Ming ; Zhao, Lei |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/92940 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 2.Peking Univ, Sino Russian Math Ctr, Beijing 100871, Peoples R China; 3.Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China |
| Recommended Citation GB/T 7714 | Song RJ,Dong M,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.Rp_Au:Dong, Ming, Zhao, Lei |
| APA | 宋润杰,董明,&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 | 宋润杰,et al."Effect of cone rotation on the nonlinear evolution of Mack modes in supersonic boundary layers".JOURNAL OF FLUID MECHANICS 971(2023):48. |
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| Jp2023A198.pdf（3400KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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