Role of characteristic modes in the dynamics of wave pattern in the Czochralski oxide crystal growth

	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
刊名	JOURNAL OF CRYSTAL GROWTH
	2012-02-01
通讯作者邮箱	chengjunjing@126.com
卷号	340 期号:1 页码:190-196
关键词	Characteristic mode Fluid flows Proper orthogonal decomposition Wave pattern Czochralski method Oxides Proper Orthogonal Decomposition Melt Flow Convection Simulation Buoyancy Force Grids Field
ISSN号	0022-0248
通讯作者	Jing, CJ ; Sichuan Univ, Coll Architecture & Environm, Chengdu 610064, Peoples R China.
产权排序	[Jing, C. J.] Sichuan Univ, Coll Architecture & Environm, Chengdu 610064, Peoples R China;[Jia, C. X.] Sichuan Coll Architectural Technol, Deyang 618000, Sichuan, Peoples R China; [Jing, C. J.; Li, K.] Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Beijing 100190, Peoples R China; [Arima, H.] Saga Univ, Inst Ocean Energy, Saga 8408502, Japan
合作状况	国际
中文摘要	Wave 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.
学科主题	微重力流体力学
分类号	二类/Q2
收录类别	SCI ; EI
资助信息	Project 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).
原文出处	http://dx.doi.org/10.1016/j.jcrysgro.2011.12.033
语种	英语
WOS记录号	WOS:000300962100032
公开日期	2013-01-18
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/46558]
专题	力学研究所_国家微重力实验室
通讯作者	Jing, CJ
推荐引用方式 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.(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.