| Instabilities of a liquid film flowing down an inclined porous plane |
| Liu R(刘荣) ; Liu QS(刘秋生); Liu R
|
| 发表期刊 | Physical Review E
 |
| 2009
|
| 卷号 | 80期号:3页码:36316 |
| ISSN | 1539-3755
|
| 摘要 | The problem of a film flowing down an inclined porous layer is considered. The fully developed basic flow is driven by gravitation. A careful linear instability analysis is carried out. We use Darcy's law to describe the porous layer and solve the coupling equations of the fluid and the porous medium rather than the decoupled equations of the one-sided model used in previous works. The eigenvalue problem is solved by means of a Chebyshev collocation method. We compare the instability of the two-sided model with the results of the one-sided model. The result reveals a porous mode instability which is completely neglected in previous works. For a falling film on an inclined porous plane there are three instability modes, i.e., the surface mode, the shear mode, and the porous mode. We also study the influences of the depth ratio d, the Darcy number delta, and the Beavers-Joseph coefficient alpha(BJ) on the instability of the system. |
| 关键词 | Eigenvalues And Eigenfunctions
Flow Instability
Flow Through Porous Media
Liquid Films
Poiseuille Flow
Fluid-flow
Stability
Layer
|
| DOI | 10.1103/PhysRevE.80.036316
|
| 收录类别 | SCI
|
| 语种 | 英语
|
| WOS记录号 | WOS:000270383500058
|
| 关键词[WOS] | POISEUILLE FLOW
; FLUID-FLOW
; STABILITY
; LAYER
|
| WOS研究方向 | Physics
|
| WOS类目 | Physics, Fluids & Plasmas
; Physics, Mathematical
|
| 项目资助者 | National Foundation of China [10772185, 50890182]
; Chinese Academy of Sciences [KGCX-SW-409]
|
| 引用统计 |
|
| 文献类型 | 期刊论文
|
| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/33561
|
| 专题 | 微重力重点实验室
|
| 通讯作者 | Liu R |
推荐引用方式
GB/T 7714 |
Liu R,Liu QS,Liu R. Instabilities of a liquid film flowing down an inclined porous plane[J]. Physical Review E,2009,80,3,:36316.
|
| APA |
刘荣,刘秋生,&Liu R.(2009).Instabilities of a liquid film flowing down an inclined porous plane.Physical Review E,80(3),36316.
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| MLA |
刘荣,et al."Instabilities of a liquid film flowing down an inclined porous plane".Physical Review E 80.3(2009):36316.
|
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