| Nonmodal stability in Hagen-Poiseuille flow of a shear thinning fluid |
| Liu R(刘荣) ; Liu QS(刘秋生); Liu, R; Chinese Acad Sci, Inst Mech, Natl Micrograv Lab, Key Lab Micrograv, Beijing 100190, Peoples R China.
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| 发表期刊 | Physical Review E
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| 2012-06-22
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| 卷号 | 85期号:6页码:066318 |
| ISSN | 1539-3755
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| 摘要 | Linear stability in Hagen-Poiseuille flow of a shear-thinning fluid is considered. The non-Newtonian viscosity is described by the Carreau rheological law. The effects of shear thinning on the stability are investigated using the energy method and the nonmodal stability theory. The energy analysis shows that the nonaxisymmetric disturbance with the azimuthal wave number m = 1 has the lowest critical energy Reynolds number for both the Newtonian and shear-thinning cases. With the increase of shear thinning, the critical energy Reynolds number decreases for both the axisymmetric and nonaxisymmetric cases. For the nonmodal stability, we focus on two problems: response to external excitations and response to initial conditions. The former is studied by examining the epsilon pseudospectrum, and the latter by examining the energy growth function G(t). For both Newtonian and shear-thinning fluids, it is found that there can be a rather large transient growth even though the linear operator of the Hagen-Poiseuille flow has no unstable eigenvalue. For the problem of response to external excitations, the optimal response is achieved by disturbance with m = 1 for both the Newtonian and non-Newtonian cases. For the problem of response to initial conditions, the optimal disturbance is in the form of streamwise uniform streaks. Being different from the Newtonian case, the azimuthal wave number of the optimal disturbance may be greater than 1 for strongly shear-thinning cases. |
| 关键词 | Pipe-flow
Transition
Turbulence
Instability
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| 学科领域 | 流动的稳定性
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| DOI | 10.1103/PhysRevE.85.066318
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| URL | 查看原文
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| 收录类别 | SCI
; EI
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| 语种 | 英语
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| WOS记录号 | WOS:000305568200002
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| 关键词[WOS] | PIPE-FLOW
; TRANSITION
; TURBULENCE
; INSTABILITY
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| WOS研究方向 | Physics
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| WOS类目 | Physics, Fluids & Plasmas
; Physics, Mathematical
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| 项目资助者 | This work was supported by National Natural Science Foundation of China (Grants No. 11102211, No. 50890182, and No. 11072249) and the Knowledge Innovation Program of Chinese Academy of Sciences (KGCX-SW-409).
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| 课题组名称 | NML流动稳定性与复杂流动
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| 论文分区 | 一类
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/46595
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| 专题 | 微重力重点实验室
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| 通讯作者 | Liu, R; Chinese Acad Sci, Inst Mech, Natl Micrograv Lab, Key Lab Micrograv, Beijing 100190, Peoples R China. |
推荐引用方式
GB/T 7714 |
Liu R,Liu QS,Liu, R,et al. Nonmodal stability in Hagen-Poiseuille flow of a shear thinning fluid[J]. Physical Review E,2012,85,6,:066318.
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| APA |
刘荣,刘秋生,Liu, R,&Chinese Acad Sci, Inst Mech, Natl Micrograv Lab, Key Lab Micrograv, Beijing 100190, Peoples R China..(2012).Nonmodal stability in Hagen-Poiseuille flow of a shear thinning fluid.Physical Review E,85(6),066318.
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| MLA |
刘荣,et al."Nonmodal stability in Hagen-Poiseuille flow of a shear thinning fluid".Physical Review E 85.6(2012):066318.
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