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Instability Of Plane Poiseuille Flow In A Fluid-Porous System | |
Liu R(刘荣); Liu QS(刘秋生); Zhao SC(赵思诚); Liu, R (reprint author), Chinese Acad Sci, Inst Mech, Natl Micrograv Lab, Beijing 100080, Peoples R China. | |
发表期刊 | Physics of Fluids |
2008 | |
ISSN | 1070-6631 |
摘要 | The instability of Poiseuille flow in a fluid-porous system is investigated. The system consists of a fluid layer overlying porous media and is subjected to a horizontal plane Poiseuille flow. We use Brinkman's model instead of Darcy's law to describe the porous layer. The eigenvalue problem is solved by means of a Chebyshev collocation method. We study the influence of the depth ratio (d) over cap and the Darcy number delta on the instability of the system. We compare systematically the instability of Brinkman's model with the results of Darcy's model. Our results show that no satisfactory agreement between Brinkman's model and Darcy's model is obtained for the instability of a fluid-porous system. We also examine the instability of Darcy's model. A particular comparison with early work is made. We find that a multivalued region may present in the (k, Re) plane, which was neglected in previous work. Here k is the dimensionless wavenumber and Re is the Reynolds number. (C) 2008 American Institute of Physics. [DOI: 10.1063/1.3000643] |
关键词 | Stability Convection Layer Equation Pipe |
DOI | 10.1063/1.3000643 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000260572800042 |
关键词[WOS] | STABILITY ; CONVECTION ; LAYER ; EQUATION ; PIPE |
WOS研究方向 | Mechanics ; Physics |
WOS类目 | Mechanics ; Physics, Fluids & Plasmas |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/25834 |
专题 | 力学所知识产出(1956-2008) |
通讯作者 | Liu, R (reprint author), Chinese Acad Sci, Inst Mech, Natl Micrograv Lab, Beijing 100080, Peoples R China. |
推荐引用方式 GB/T 7714 | Liu R,Liu QS,Zhao SC,et al. Instability Of Plane Poiseuille Flow In A Fluid-Porous System[J]. Physics of Fluids,2008. |
APA | 刘荣,刘秋生,赵思诚,&Liu, R .(2008).Instability Of Plane Poiseuille Flow In A Fluid-Porous System.Physics of Fluids. |
MLA | 刘荣,et al."Instability Of Plane Poiseuille Flow In A Fluid-Porous System".Physics of Fluids (2008). |
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