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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
Source PublicationJournal of Fluid Mechanics
2011
Volume676Pages:145-171
ISSN0022-1120
AbstractIn 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.
KeywordNon-newtonian Flows Transition To Turbulence Low-reynolds-number Channel Flows Poiseuille Flow Linear-stability Energy Amplification Boundary-layers Transition Growth Pipe Turbulence
Subject AreaMechanics ; Physics
DOI10.1017/jfm.2011.36
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000292093300007
WOS KeywordLOW-REYNOLDS-NUMBER ; CHANNEL FLOWS ; POISEUILLE FLOW ; LINEAR-STABILITY ; ENERGY AMPLIFICATION ; BOUNDARY-LAYERS ; TRANSITION ; GROWTH ; PIPE ; TURBULENCE
WOS Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
Funding OrganizationThe 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.
DepartmentNML流动稳定性与复杂流动
Classification一类
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45082
Collection国家微重力实验室
Corresponding AuthorLiu, R (reprint author), Chinese Acad Sci, Key Lab Micrograv, Natl Micrograv Lab, Inst Mech, Beijing 100190, Peoples R China
Recommended Citation
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.
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