Non-modal instabilities of two-dimensional disturbances in plane Couette flow of a power-law fluid
文献类型：期刊论文
| 作者 | Liu R ; Liu QS
|
| 刊名 | Journal of Non-Newtonian Fluid Mechanics
 |
| 出版日期 | 2010 |
| 卷号 | 165期号:19-20页码:1228-1240 |
| 通讯作者邮箱 | liurong@imech.ac.cn |
| 关键词 | Power-Law Fluid Instabilities Non-Normal Mode Pseudospectra Linear-Stability Poiseuille Flow Channel Flows Shear Flows Transition Growth |
| ISSN号 | 0377-0257 |
| 通讯作者 | Liu R |
| 中文摘要 | Instabilities of fluid flows have traditionally been investigated by normal mode analysis, i.e. by linearizing the equations of flow and testing for unstable eigenvalues of the linearized problem. However, the results of eigenvalue analysis agree poorly in many cases with experiments, especially for shear flows. In this paper we study the instabilities of two-dimensional Couette flow of a polymeric fluid in the framework of non-modal stability theory rather than normal mode analysis. A power-law model is used to describe the polymeric liquid. We focus on the response to external excitations and initial conditions by examining the pseudospectra structures and the transient energy growths. For both Newtonian and non-Newtonian flows, the results show that there can be a rather large transient growth even though the linear operator of Couette flow has no unstable eigenvalue. The effects of non-Newtonian viscosity on the transient behaviors are examined in this study. The results show that the "shear-thinning/shear-thickening" effect increases/decreases the amplitude of responses to external excitations and initial conditions. (C) 2010 Elsevier B.V. All rights reserved. |
| 类目[WOS] | Mechanics |
| 研究领域[WOS] | Mechanics |
| 关键词[WOS] | LINEAR-STABILITY ; POISEUILLE FLOW ; CHANNEL FLOWS ; SHEAR FLOWS ; TRANSITION ; GROWTH |
| 收录类别 | SCI |
| 资助信息 | National Natural Science Foundation of China [50890182, 10772185]; Chinese Academy of Sciences [KGCX-SW-409] |
| 原文出处 | http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TGV-50B5PKP-1&_user=1999820&_coverDate=10%2F31%2F2010&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_searchStrId=1691240732&_rerunOrigin=google&_acct=C000050602&_version=1&_urlVersion=0&_userid=1999820&md5=73e98b6c41e1df69468940c17ba50bc7&searchtype=a |
| 语种 | 英语 |
| WOS记录号 | WOS:000282999500017 |
| 公开日期 | 2011-03-01 ; 2011-03-30 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/43625]  |
| 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 instabilities of two-dimensional disturbances in plane Couette flow of a power-law fluid[J]. Journal of Non-Newtonian Fluid Mechanics,2010,165(19-20):1228-1240. |
| APA | Liu R,&Liu QS.(2010).Non-modal instabilities of two-dimensional disturbances in plane Couette flow of a power-law fluid.Journal of Non-Newtonian Fluid Mechanics,165(19-20),1228-1240. |
| MLA | Liu R,et al."Non-modal instabilities of two-dimensional disturbances in plane Couette flow of a power-law fluid".Journal of Non-Newtonian Fluid Mechanics 165.19-20(2010):1228-1240. |
入库方式： OAI收割
来源：力学研究所
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