On the large-Weissenberg-number scaling laws in viscoelastic pipe flows

doi:10.1017/jfm.2022.489

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

	On the large-Weissenberg-number scaling laws in viscoelastic pipe flows
	Wan, Dongdong 2; Dong, Ming 1; Zhang, Mengqi 2
刊名	JOURNAL OF FLUID MECHANICS
	2022-06-28
卷号	944 页码:18
关键词	viscoelasticity nonlinear instability
ISSN号	0022-1120
DOI	10.1017/jfm.2022.489
通讯作者	Wan, Dongdong()
英文摘要	This work explains a scaling law of the first Landau coefficient of the derived Ginzburg-Landau equation in the weakly nonlinear analysis of axisymmetric viscoelastic pipe flows in the large-Weissenberg-number (Wi) limit, recently reported in Wan et al. (J. Fluid Mech., vol. 929, 2021, A16). Using an asymptotic method, we derive a reduced system, which captures the characteristics of the linear centre-mode instability near the critical condition in the large-Wi limit. Based on the reduced system we then conduct a weakly nonlinear analysis using a multiple-scale expansion method, which readily explains the aforementioned scaling law of the Landau coefficient and some other scaling laws. Particularly, the equilibrium amplitude of disturbance near linear critical conditions is found to scale as Wi(-1/2), which may be of interest to experimentalists. The current analysis reduces the numbers of parameters and unknowns and exemplifies an approach to studying the viscoelastic flow at large Wi, which could shed new light on the understanding of its nonlinear dynamics.
资助项目	China Scholarship Council[201906220200] ; NUS research scholarship ; Ministry of Education, Singapore (WBS)[R-265-000-661-112] ; National Science Foundation of China[U20B2003]
WOS关键词	CONFORMATION TENSOR ; DRAG REDUCTION ; SUBCRITICAL INSTABILITIES ; PERTURBATION-METHODS ; POISEUILLE FLOW ; PARALLEL FLOWS ; TRANSITION ; STABILITY ; TURBULENCE ; MECHANICS
WOS研究方向	Mechanics ; Physics
语种	英语
WOS记录号	WOS:000817204100001
资助机构	China Scholarship Council ; NUS research scholarship ; Ministry of Education, Singapore (WBS) ; National Science Foundation of China
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/89715]
专题	力学研究所_非线性力学国家重点实验室
通讯作者	Wan, Dongdong
作者单位	1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 2.Natl Univ Singapore, Dept Mech Engn, 9 Engn Dr 1, Singapore 117575, Singapore
推荐引用方式 GB/T 7714	Wan, Dongdong,Dong, Ming,Zhang, Mengqi. On the large-Weissenberg-number scaling laws in viscoelastic pipe flows[J]. JOURNAL OF FLUID MECHANICS,2022,944:18.
APA	Wan, Dongdong,Dong, Ming,&Zhang, Mengqi.(2022).On the large-Weissenberg-number scaling laws in viscoelastic pipe flows.JOURNAL OF FLUID MECHANICS,944,18.
MLA	Wan, Dongdong,et al."On the large-Weissenberg-number scaling laws in viscoelastic pipe flows".JOURNAL OF FLUID MECHANICS 944(2022):18.