Instabilities of a liquid film flowing down an inclined porous plane
文献类型：期刊论文
| 作者 | Liu R(刘荣) ; Liu QS(刘秋生); Liu R
|
| 刊名 | Physical Review E
 |
| 出版日期 | 2009 |
| 卷号 | 80期号:3页码:36316 |
| 通讯作者邮箱 | liu@imech.ac.cn |
| 关键词 | Eigenvalues And Eigenfunctions Flow Instability Flow Through Porous Media Liquid Films Poiseuille Flow Fluid-Flow Stability Layer |
| ISSN号 | 1539-3755 |
| 通讯作者 | Liu R |
| 中文摘要 | 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. |
| 类目[WOS] | Physics, Fluids & Plasmas ; Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | POISEUILLE FLOW ; FLUID-FLOW ; STABILITY ; LAYER |
| 收录类别 | SCI |
| 资助信息 | National Foundation of China [10772185, 50890182]; Chinese Academy of Sciences [KGCX-SW-409] |
| 语种 | 英语 |
| WOS记录号 | WOS:000270383500058 |
| 公开日期 | 2009-08-03 ; 2010-06-03 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/33561]  |
| 专题 | 力学研究所_国家微重力实验室 |
| 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. |
| MLA | 刘荣,et al."Instabilities of a liquid film flowing down an inclined porous plane".Physical Review E 80.3(2009):36316. |
入库方式： OAI收割
来源：力学研究所
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