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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.
Source PublicationPHYSICS OF FLUIDS
2014-01
Volume26Issue:1Pages:14102
ISSN1070-6631
AbstractLinear 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.
KeywordYield-stress Fluid Pipe-flow Linear-stability Channel Flows Shear Flows Transition Turbulence
Subject AreaMechanics ; Physics
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000331215200030
Funding OrganizationThis 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).
DepartmentNML流动稳定性与复杂流动
Classification一类/力学重要期刊
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/48795
Collection国家微重力实验室
Corresponding AuthorLiu, R (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Natl Micrograv Lab, Beijing 100190, Peoples R China.
Recommended Citation
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.
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