| Linear spatio-temporal instability analysis of ice growth under a falling water film | |
Hu J ; Zhou BH(周炳红); Hang YH; Liu QS(刘秋生); Zhang SD
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| Source Publication | Journal of Fluid Mechanics
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| 2010 | |
| Volume | 649Pages:453-466 |
| ISSN | 0022-1120 |
| Abstract | A linear spatio-temporal stability analysis is conducted for the ice growth under a falling water film along an inclined ice plane. The full system of linear stability equations is solved by using the Chebyshev collocation method. By plotting the boundary curve between the linear absolute and convective instabilities (AI/CI) of the ice mode in the parameter plane of the Reynolds number and incline angle, it is found that the linear absolute instability exists and occurs above a minimum Reynolds number and below a maximum inclined angle. Furthermore, by plotting the critical Reynolds number curves with respect to the inclined angle for the downstream and upstream branches, the convectively unstable region is determined and divided into three parts, one of which has both downstream and upstream convectively unstable wavepackets and the other two have only downstream or upstream convectively unstable wavepacket. Finally, the effect of the Stefan number and the thickness of the ice layer on the AI/CI boundary curve is investigated. |
| DOI | 10.1017/S002211201000025X |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000277730200019 |
| WOS Keyword | INCLINED PLANE ; FLOW ; STABILITY ; ABSOLUTE ; LAYER |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Organization | NSAF [10676005, 10676004] ; National Natural Science Foundation of China (NSFC) [10702011, 10802086] ; Science Foundation of CAEP [2009B0201023] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/43657 |
| Collection | 微重力重点实验室 |
| Corresponding Author | Hu J |
| Recommended Citation GB/T 7714 | Hu J,Zhou BH,Hang YH,et al. Linear spatio-temporal instability analysis of ice growth under a falling water film[J]. Journal of Fluid Mechanics,2010,649:453-466. |
| APA | Hu J,周炳红,Hang YH,刘秋生,&Zhang SD.(2010).Linear spatio-temporal instability analysis of ice growth under a falling water film.Journal of Fluid Mechanics,649,453-466. |
| MLA | Hu J,et al."Linear spatio-temporal instability analysis of ice growth under a falling water film".Journal of Fluid Mechanics 649(2010):453-466. |
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