Instabilities of vortex rings generated by surface-tension gradients between co-axial disks

	Instabilities of vortex rings generated by surface-tension gradients between co-axial disks
	Chen QS(陈启生); Jiang YN(姜燕妮); Chen, QS
刊名	INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
	2012-12-01
通讯作者邮箱	qschen@imech.ac.cn
卷号	39 期号:10 页码:1542-1545
ISSN号	0735-1933
通讯作者	Chen, QS ; Chinese Acad Sci, Inst Mech, Key Lab Micrograv, 15 Beisihuan W Rd, Beijing 100190, Peoples R China.
产权排序	1 Key Laboratory of Microgravity (National Microgravity laboratory), Institute of Mechanics, Chinese Academy of Sciences, 15 Bei Si Huan Xi Road, Beijing 100190, China
中文摘要	Instabilities of vortex rings generated by surface-tension gradients between co-axial disks with Prandtl numbers of 0.001 and 0.01 are investigated by using the linear stability analysis (LSA) method. The continuity-vortex-energy equations are used as the perturbation equations for stability analysis and discretized using a Chebyshev-collocation method. The critical Reynolds numbers and the angular wavenumbers of the unstable mode are obtained for vortex rings with a range of aspect ratios between 0.05 and 1.2. From stability analyses, it is found that the product of the critical model and the aspect ratio approaches a constant when the aspect ratio decreases. The critical mode is m=16 when the aspect ratio is 0.05. Analyses also indicate that the vortex rings must be of certain energy for the perturbations of flow to grow in amplitude. The viscosity of fluid can dampen perturbations if the magnitude of the stream function of the basic flow is below the critical value. The vortex rings generated by surface-tension gradients become unstable when the magnitude of the stream function is above the critical value.
学科主题	流动的稳定性
分类号	一类
收录类别	SCI ; EI
原文出处	http://dx.doi.org/10.1016/j.icheatmasstransfer.2012.09.006
语种	英语
WOS记录号	WOS:000313542000013
公开日期	2013-01-18
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/46590]
专题	力学研究所_国家微重力实验室
通讯作者	Chen, QS
推荐引用方式 GB/T 7714	Chen QS,Jiang YN,Chen, QS. Instabilities of vortex rings generated by surface-tension gradients between co-axial disks[J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER,2012,39(10):1542-1545.
APA	Chen QS,Jiang YN,&Chen, QS.(2012).Instabilities of vortex rings generated by surface-tension gradients between co-axial disks.INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER,39(10),1542-1545.
MLA	Chen QS,et al."Instabilities of vortex rings generated by surface-tension gradients between co-axial disks".INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER 39.10(2012):1542-1545.