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

doi:10.1017/jfm.2023.629

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	Effect of cone rotation on the nonlinear evolution of Mack modes in supersonic boundary layers
	Song, Runjie 3; Dong, Ming 2,3; Zhao, Lei 1
刊名	JOURNAL OF FLUID MECHANICS
	2023-09-12
卷号	971 页码:48
关键词	boundary layer stability supersonic flow transition to turbulence
ISSN号	0022-1120
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.
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关键词	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
语种	英语
WOS记录号	WOS:001063399800001
资助机构	National Science Foundation of China ; Strategic Priority Research Program, CAS
内容类型	期刊论文
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.