Effect of cone rotation on the nonlinear evolution of Mack modes in supersonic boundary layers

doi:10.1017/jfm.2023.629

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	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, Lei 3
通讯作者	Dong, Ming(dongming@imech.ac.cn) ; Zhao, Lei(lei_zhao@tju.edu.cn)
发表期刊	JOURNAL OF FLUID MECHANICS
	2023-09-12
卷号	971 页码:48
ISSN	0022-1120
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.
关键词	boundary layer stability supersonic flow transition to turbulence
DOI	10.1017/jfm.2023.629
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:001063399800001
关键词[WOS]	NON-LINEAR MECHANICS ; UNSTABLE PARALLEL FLOWS ; ABSOLUTE INSTABILITY ; SECONDARY INSTABILITY ; TURBULENT TRANSITION ; WAVE DISTURBANCES ; LOWER BRANCH ; STABILITY ; BREAKDOWN ; RECEPTIVITY
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
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]
项目资助者	National Science Foundation of China ; Strategic Priority Research Program, CAS
论文分区	一类/力学重要期刊
力学所作者排名	1
RpAuthor	Dong, Ming ; Zhao, Lei
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/92940
专题	非线性力学国家重点实验室
作者单位	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
推荐引用方式 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.
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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