| Instabilities of a liquid film flowing down an inclined porous plane | |
Liu R(刘荣) ; Liu QS(刘秋生); Liu R
| |
| Source Publication | Physical Review E
 |
| 2009 | |
| Volume | 80Issue:3Pages:36316 |
| ISSN | 1539-3755 |
| Abstract | 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. |
| Keyword | Eigenvalues And Eigenfunctions Flow Instability Flow Through Porous Media Liquid Films Poiseuille Flow Fluid-flow Stability Layer |
| DOI | 10.1103/PhysRevE.80.036316 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000270383500058 |
| WOS Keyword | POISEUILLE FLOW ; FLUID-FLOW ; STABILITY ; LAYER |
| WOS Research Area | Physics |
| WOS Subject | Physics, Fluids & Plasmas ; Physics, Mathematical |
| Funding Organization | National Foundation of China [10772185, 50890182] ; Chinese Academy of Sciences [KGCX-SW-409] |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/33561 |
| Collection | 微重力重点实验室 |
| Corresponding Author | Liu R |
| Recommended Citation 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. |
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