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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
Source PublicationJournal of Fluid Mechanics
2010
Volume649Pages:453-466
ISSN0022-1120
AbstractA 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.
DOI10.1017/S002211201000025X
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Indexed BySCI
Language英语
WOS IDWOS:000277730200019
WOS KeywordINCLINED PLANE ; FLOW ; STABILITY ; ABSOLUTE ; LAYER
WOS Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
Funding OrganizationNSAF [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
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/43657
Collection国家微重力实验室
Corresponding AuthorHu 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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