On the large-Weissenberg-number scaling laws in viscoelastic pipe flows
文献类型：期刊论文
| 作者 | Wan, Dongdong2; Dong M(董明)1; Zhang, Mengqi2 |
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2022-06-28 |
| 卷号 | 944页码:18 |
| ISSN号 | 0022-1120 |
| 关键词 | viscoelasticity nonlinear instability |
| 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. |
| 分类号 | 一类/力学重要期刊 |
| WOS关键词 | CONFORMATION TENSOR ; DRAG REDUCTION ; SUBCRITICAL INSTABILITIES ; PERTURBATION-METHODS ; POISEUILLE FLOW ; PARALLEL FLOWS ; TRANSITION ; STABILITY ; TURBULENCE ; MECHANICS |
| 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 |
| 其他责任者 | Wan, Dongdong |
| 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 |
| 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 M,Zhang, Mengqi. On the large-Weissenberg-number scaling laws in viscoelastic pipe flows[J]. JOURNAL OF FLUID MECHANICS,2022,944:18. |
| 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. |
入库方式： OAI收割
来源：力学研究所
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