| On the large-Weissenberg-number scaling laws in viscoelastic pipe flows | |
| Wan, Dongdong1; Dong M(董明)2; Zhang, Mengqi1 | |
| Corresponding Author | Wan, Dongdong() |
| Source Publication | JOURNAL OF FLUID MECHANICS
 |
| 2022-06-28 | |
| Volume | 944Pages:18 |
| ISSN | 0022-1120 |
| Abstract | 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. |
| Keyword | viscoelasticity nonlinear instability |
| DOI | 10.1017/jfm.2022.489 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000817204100001 |
| WOS Keyword | CONFORMATION TENSOR ; DRAG REDUCTION ; SUBCRITICAL INSTABILITIES ; PERTURBATION-METHODS ; POISEUILLE FLOW ; PARALLEL FLOWS ; TRANSITION ; STABILITY ; TURBULENCE ; MECHANICS |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | China Scholarship Council[201906220200] ; NUS research scholarship ; Ministry of Education, Singapore (WBS)[R-265-000-661-112] ; National Science Foundation of China[U20B2003] |
| Funding Organization | China Scholarship Council ; NUS research scholarship ; Ministry of Education, Singapore (WBS) ; National Science Foundation of China |
| Classification | 一类/力学重要期刊 |
| Ranking | 2 |
| Contributor | Wan, Dongdong |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/89716 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Natl Univ Singapore, Dept Mech Engn, 9 Engn Dr 1, Singapore 117575, Singapore; 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Wan, Dongdong,Dong M,Zhang, Mengqi. On the large-Weissenberg-number scaling laws in viscoelastic pipe flows[J]. JOURNAL OF FLUID MECHANICS,2022,944:18.Rp_Au:Wan, Dongdong |
| APA | Wan, Dongdong,董明,&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. |
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| Jp2022FA299_2022_On （535KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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