| Viscous liquid films on a porous vertical cylinder: Dynamics and stability | |
Ding ZJ(丁子敬) ; Wong TN; Liu R(刘荣); Liu QS(刘秋生); Wong, TN (reprint author), Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore.
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| Source Publication | PHYSICS OF FLUIDS
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| 2013-06-01 | |
| Volume | 25Issue:6Pages:064101-18 |
| ISSN | 1070-6631 |
| Abstract | In this paper, liquid films flowing down a porous vertical cylinder were investigated by an integral boundary layer model. Linear stability and nonlinear evolution were studied. Linear stability results of the integral boundary layer model were in good agreement with the linearized Navier-Stokes equations which indicated that the permeability of the porous medium enhanced the instability of the flow system. The growth rate and cut-off wave number increased with increasing the permeability and the Reynolds number. Linear stability analysis showed that the system was more unstable for a larger Reynolds number Re. Nonlinear studies showed that, for a very small Re, the film evolved with time while a saturated state was not observed. In addition, it was observed that the film ruptured when the permeability parameter beta > 0, and the rupture time decreased with increasing beta. However, for a moderate Reynolds number, a small finite harmonic disturbance evolved to a saturated traveling wave. Further investigation was conducted on the droplet-like wave solution. Results showed that the wave speed increased as the permeability parameter increased. |
| Keyword | Boundary Layers Cylinders (Shapes) Liquid Films Navier Stokes Equations Porous Materials Reynolds Number Boundary Layer Models Cut-off Wave Numbers Harmonic Disturbances Moderate Reynolds Numbers Nonlinear Evolutions Permeability Of The Porous Mediums Vertical Cylinders |
| Subject Area | 流体力学 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000321272600021 |
| Funding Organization | National Natural Science Foundation of China [11102211] |
| Department | NML流动稳定性与复杂流动 |
| Classification | 一类/力学重要期刊 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/47360 |
| Collection | 微重力重点实验室 |
| Corresponding Author | Wong, TN (reprint author), Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore. |
| Recommended Citation GB/T 7714 | Ding ZJ,Wong TN,Liu R,et al. Viscous liquid films on a porous vertical cylinder: Dynamics and stability[J]. PHYSICS OF FLUIDS,2013,25,6,:064101-18. |
| APA | 丁子敬,Wong TN,刘荣,刘秋生,&Wong, TN .(2013).Viscous liquid films on a porous vertical cylinder: Dynamics and stability.PHYSICS OF FLUIDS,25(6),064101-18. |
| MLA | 丁子敬,et al."Viscous liquid films on a porous vertical cylinder: Dynamics and stability".PHYSICS OF FLUIDS 25.6(2013):064101-18. |
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