Asymptotic study of linear instability in a viscoelastic pipe flow
文献类型：期刊论文
| 作者 | Dong, Ming2; Zhang, Mengqi1 |
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2022-03-25 |
| 卷号 | 935页码:43 |
| ISSN号 | 0022-1120 |
| 关键词 | viscoelasticity polymers shear-flow instability |
| DOI | 10.1017/jfm.2022.24 |
| 通讯作者 | Dong, Ming(dongming@imech.ac.cn) ; Zhang, Mengqi(mpezmq@nus.edu.sg) |
| 英文摘要 | It is recently found that viscoelastic pipe flows can be linearly unstable, leading to the possibility of a supercritical transition route, in contrast to Newtonian pipe flows. Such an instability is referred to as the centre mode, which was studied numerically by Chaudhary et al. (J. Fluid Mech., vol. 908, 2021, p. A11) based on an Oldroyd-B model. In this paper, we are interested in expanding the parameter space investigated and exploring the asymptotic scalings related to this centre instability in the Oldroyd-B viscoelastic pipe flow. It is found from the asymptotic analysis that the centre mode exhibits a three-layered asymptotic structure in the radial direction, a wall layer, a main layer and a central layer, which are driven by pure viscosity, axial and/or radial pressure gradient, and a combined effect of viscosity and elasticity, respectively. Depending on the relations of the control parameters, two regimes, the long-wavelength and short-wavelength centre instabilities, emerge, for which the central-layer thicknesses are of different orders of magnitude. Our large-Reynolds-number asymptotic predictions are compared to the numerical solutions of the original eigenvalue system, and favourable agreement is achieved, especially when the parameters approach their individual limits. In addition to revealing the dominant factors and their balances, the asymptotic analysis describes the instability system by reducing the number of control parameters, and furthermore explaining the collapse of the numerical results for different re-scalings. |
| WOS关键词 | DRAG REDUCTION ; CONFORMATION TENSOR ; STABILITY ; ENTRAINMENT ; DYNAMICS |
| 资助项目 | National Science Foundation of China[11988102] ; National Science Foundation of China[U20B2003] ; National Science Foundation of China[11772224] ; Ministry of Education, Singapore[R-265-000-661-112] |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000850667600001 |
| 资助机构 | National Science Foundation of China ; Ministry of Education, Singapore |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/90031]  |
| 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; Zhang, Mengqi |
| 作者单位 | 1.Natl Univ Singapore, Dept Mech Engn, 9 Engn Dr 1, Singapore 117575, Singapore 2.Chinese Acad Sci, State Key Lab Nonlinear Mech, Inst Mech, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dong, Ming,Zhang, Mengqi. Asymptotic study of linear instability in a viscoelastic pipe flow[J]. JOURNAL OF FLUID MECHANICS,2022,935:43. |
| APA | Dong, Ming,&Zhang, Mengqi.(2022).Asymptotic study of linear instability in a viscoelastic pipe flow.JOURNAL OF FLUID MECHANICS,935,43. |
| MLA | Dong, Ming,et al."Asymptotic study of linear instability in a viscoelastic pipe flow".JOURNAL OF FLUID MECHANICS 935(2022):43. |
入库方式： OAI收割
来源：力学研究所
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