Non-modal instability in plane Couette flow of a power-law fluid
文献类型：期刊论文
| 作者 | Liu R(刘荣) ; Liu QS(刘秋生)
|
| 刊名 | Journal of Fluid Mechanics
 |
| 出版日期 | 2011 |
| 卷号 | 676页码:145-171 |
| 通讯作者邮箱 | liurong@imech/ac.cn |
| 关键词 | Non-Newtonian Flows Transition To Turbulence Low-Reynolds-Number Channel Flows Poiseuille Flow Linear-Stability Energy Amplification Boundary-Layers Transition Growth Pipe Turbulence |
| ISSN号 | 0022-1120 |
| 产权排序 | [Liu, R; Liu, QS] Chinese Acad Sci, Key Lab Micrograv, Natl Micrograv Lab, Inst Mech, Beijing 100190, Peoples R China |
| 通讯作者 | Liu, R (reprint author), Chinese Acad Sci, Key Lab Micrograv, Natl Micrograv Lab, Inst Mech, Beijing 100190, Peoples R China |
| 中文摘要 | In this paper, we study the linear stability of a plane Couette flow of a power-law fluid. The influence of shear-thinning effect on the stability is investigated using the classical eigenvalue analysis, the energy method and the non-modal stability theory. For the plane Couette flow, there is no stratification of viscosity. Thus, for the stability problem the stress tensor is anisotropic aligned with the strain rate perturbation. The results of the eigenvalue analysis and the energy method show that the shear-thinning effect is destabilizing. We focus on the effect of non-Newtonian viscosity on the transition from laminar flow towards turbulence in the framework of non-modal stability theory. Response to external excitations and initial conditions has been studied by examining the epsilon-pseudospectrum and the transient energy growth. For both Newtonian and non-Newtonian fluids, it is found that there can be a rather large transient growth even though the linear operator of the Couette flow has no unstable eigenvalue. The results show that shear-thinning significantly increases the amplitude of response to external excitations and initial conditions. |
| 学科主题 | Mechanics; Physics |
| 分类号 | 一类 |
| 类目[WOS] | Mechanics ; Physics, Fluids & Plasmas |
| 研究领域[WOS] | Mechanics ; Physics |
| 关键词[WOS] | LOW-REYNOLDS-NUMBER ; CHANNEL FLOWS ; POISEUILLE FLOW ; LINEAR-STABILITY ; ENERGY AMPLIFICATION ; BOUNDARY-LAYERS ; TRANSITION ; GROWTH ; PIPE ; TURBULENCE |
| 收录类别 | SCI ; EI |
| 资助信息 | The authors thank the National foundation of China for financial support for this research (50890182, 11072249 and 10772185). The authors also gratefully acknowledge the referees for their many helpful comments. |
| 原文出处 | http://dx.doi.org/10.1017/jfm.2011.36 |
| 语种 | 英语 |
| WOS记录号 | WOS:000292093300007 |
| 公开日期 | 2012-04-01 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/45082]  |
| 专题 | 力学研究所_国家微重力实验室 |
| 推荐引用方式 GB/T 7714 | Liu R,Liu QS. Non-modal instability in plane Couette flow of a power-law fluid[J]. Journal of Fluid Mechanics,2011,676:145-171. |
| APA | 刘荣,&刘秋生.(2011).Non-modal instability in plane Couette flow of a power-law fluid.Journal of Fluid Mechanics,676,145-171. |
| MLA | 刘荣,et al."Non-modal instability in plane Couette flow of a power-law fluid".Journal of Fluid Mechanics 676(2011):145-171. |
入库方式： OAI收割
来源：力学研究所
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