Non-modal instability in plane Couette flow of a power-law fluid

doi:10.1017/jfm.2011.36

IMECH-IR > 微重力重点实验室

	Non-modal instability in plane Couette flow of a power-law fluid
	Liu R(刘荣); Liu QS(刘秋生); Liu, R (reprint author), Chinese Acad Sci, Key Lab Micrograv, Natl Micrograv Lab, Inst Mech, Beijing 100190, Peoples R China
发表期刊	Journal of Fluid Mechanics
	2011
卷号	676 页码:145-171
ISSN	0022-1120
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.
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
学科领域	Mechanics ; Physics
DOI	10.1017/jfm.2011.36
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000292093300007
关键词[WOS]	LOW-REYNOLDS-NUMBER ; CHANNEL FLOWS ; POISEUILLE FLOW ; LINEAR-STABILITY ; ENERGY AMPLIFICATION ; BOUNDARY-LAYERS ; TRANSITION ; GROWTH ; PIPE ; TURBULENCE
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
项目资助者	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.
课题组名称	NML流动稳定性与复杂流动
论文分区	一类
引用统计	被引频次：20[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/45082
专题	微重力重点实验室
通讯作者	Liu, R (reprint author), Chinese Acad Sci, Key Lab Micrograv, Natl Micrograv Lab, Inst Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu R,Liu QS,Liu, R . 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,&Liu, R .(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.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
SCI-J2011150.pdf（1391KB）			开放获取	--	浏览下载