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Role of characteristic modes in the dynamics of wave pattern in the Czochralski oxide crystal growth
Jing CJ(敬成君); Jia CX; Li K(李凯); Arima H; Jing, CJ; Sichuan Univ, Coll Architecture & Environm, Chengdu 610064, Peoples R China.
Source PublicationJOURNAL OF CRYSTAL GROWTH
2012-02-01
Volume340Issue:1Pages:190-196
ISSN0022-0248
AbstractWave pattern is a flow pattern observed on the free surface of oxide melt in the Czockralski crucible. Wave pattern exhibits regular folds in the azimuthal direction. In this paper three-dimensional flows of the LiNbO3 melt in a Czockralski crucible of radius r(c) = 100 mm and crystal radius r(s) = 50 mm were investigated. The crucible is still and the crystal is rotating at a rate Omega(s). The flow is assumed to be laminar. The governing equations of the melt flows were solved by a block-structured boundary-fitted-coordinate method. Massive numerical simulations were first conducted to obtain several stable n-folded wave patterns by changing aspect ratio A=h/r(c), and Omega(s), where h is the depth of the oxide melt. The proper orthogonal decomposition was then applied to extract the characteristic modes of the n-folded original wave patterns. The spatial feature of the characteristic modes and the role of the characteristic modes in the dynamic process of the original wave patterns were finally analyzed. Some interesting conclusions are obtained. The characteristic modes of the wave patterns show strong spatial feature. The characteristic modes have more folds in the azimuthal direction than the original wave patterns;the characteristic modes appear in group; with the increase of group order, the number of folds in the azimuthal direction is increased regularly by n for the n-folded original wave pattern. The study of the dynamic process shows that the original wave pattern is a traveling wave, which is formed by the dominant characteristic modes.
KeywordCharacteristic Mode Fluid Flows Proper Orthogonal Decomposition Wave Pattern Czochralski Method Oxides Proper Orthogonal Decomposition Melt Flow Convection Simulation Buoyancy Force Grids Field
Subject Area微重力流体力学
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000300962100032
Funding OrganizationProject 50876092 supported by NSFC. At the same time, this study was performed under the Cooperative Research Program of IOES, Institute of Ocean Energy, Saga University. (Accept#08005B).
DepartmentNML空间流体行为和界面现象研究
Classification二类/Q2
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/46558
Collection国家微重力实验室
Corresponding AuthorJing, CJ; Sichuan Univ, Coll Architecture & Environm, Chengdu 610064, Peoples R China.
Recommended Citation
GB/T 7714
Jing CJ,Jia CX,Li K,et al. Role of characteristic modes in the dynamics of wave pattern in the Czochralski oxide crystal growth[J]. JOURNAL OF CRYSTAL GROWTH,2012,340(1):190-196
APA 敬成君,Jia CX,李凯,Arima H,Jing, CJ,&Sichuan Univ, Coll Architecture & Environm, Chengdu 610064, Peoples R China..(2012).Role of characteristic modes in the dynamics of wave pattern in the Czochralski oxide crystal growth.JOURNAL OF CRYSTAL GROWTH,340(1),190-196.
MLA 敬成君,et al."Role of characteristic modes in the dynamics of wave pattern in the Czochralski oxide crystal growth".JOURNAL OF CRYSTAL GROWTH 340.1(2012):190-196.
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