Non-modal stability in Hagen-Poiseuille flow of a Bingham fluid

IMECH-IR > 微重力重点实验室

	Non-modal stability in Hagen-Poiseuille flow of a Bingham fluid
	Liu R(刘荣); Liu QS(刘秋生); Liu, R (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Natl Micrograv Lab, Beijing 100190, Peoples R China.
发表期刊	PHYSICS OF FLUIDS
	2014-01
卷号	26 期号:1 页码:14102
ISSN	1070-6631
摘要	Linear stability in Hagen-Poiseuille flow of a Bingham fluid is considered. Bingham fluid exhibits a yield stress in addition to a plastic viscosity. A Bingham number B, which describes the ratio of yield and viscous stresses, is used to characterize the behavior of Bingham-Hagen-Poiseuille flow. The effects of B on the stability are investigated using the energy method and the non-modal stability theory. The energy analysis shows that the non-axisymmetric disturbance has the lowest critical energy Reynolds number for all B. The global critical energy Reynolds number Re-g increases with B. At sufficient large B, Re-g has the order of B-1/2. For the non-modal stability, we focus on response to external excitations and initial conditions. The former is studied by examining the epsilon-pseudospectrum, and the latter is by examining the energy growth function G(t). For the problem of response to external excitations, the maximum response is achieved by non-axisymmetric and streamwise uniform disturbances at the frequency of omega = 0, with a possible choice of the azimuthal wavenumbers of n = 1, 2, or 3. For the problem of response to initial conditions, it is found that there can be a rather large transient growth even though the linear operator of the Bingham-Hagen-Poiseuille flow has no unstable eigenvalue. For small B, the optimal disturbance is in the form of streamwise uniform vortices and streaks. For large B, the optimal disturbance is in the form of oblique waves. The optimal energy growth decreases and the optimal azimuthal wavenumber increases with the increase of B. (C) 2014 AIP Publishing LLC.
关键词	Yield-stress Fluid Pipe-flow Linear-stability Channel Flows Shear Flows Transition Turbulence
学科领域	Mechanics ; Physics
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000331215200030
项目资助者	This work was supported by National Natural Science Foundation of China (NNSFC) (Grant Nos. 11102211, 50890182, and 11072249) and the Knowledge Innovation Program of Chinese Academy of Sciences (CAS) (KGCX-SW-409).
课题组名称	NML流动稳定性与复杂流动
论文分区	一类/力学重要期刊
引用统计	被引频次：9[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/311007/48795
专题	微重力重点实验室
通讯作者	Liu, R (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Natl Micrograv Lab, Beijing 100190, Peoples R China.
推荐引用方式 GB/T 7714	Liu R,Liu QS,Liu, R . Non-modal stability in Hagen-Poiseuille flow of a Bingham fluid[J]. PHYSICS OF FLUIDS,2014,26,1,:14102.
APA	刘荣,刘秋生,&Liu, R .(2014).Non-modal stability in Hagen-Poiseuille flow of a Bingham fluid.PHYSICS OF FLUIDS,26(1),14102.
MLA	刘荣,et al."Non-modal stability in Hagen-Poiseuille flow of a Bingham fluid".PHYSICS OF FLUIDS 26.1(2014):14102.

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
IMCAS-J2014-080.pdf（1398KB）			开放获取	--	浏览下载