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

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	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; Chinese Acad Sci, Inst Mech, Key Lab Micrograv, 15 Beisihuan W Rd, Beijing 100190, Peoples R China.
发表期刊	INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
	2012-12-01
卷号	39 期号:10 页码:1542-1545
ISSN	0735-1933
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.
学科领域	流动的稳定性
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000313542000013
课题组名称	NML流动稳定性与复杂流动
论文分区	一类
引用统计	被引频次：6[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/46590
专题	微重力重点实验室
通讯作者	Chen, QS; Chinese Acad Sci, Inst Mech, Key Lab Micrograv, 15 Beisihuan W Rd, Beijing 100190, Peoples R China.
推荐引用方式 GB/T 7714	Chen QS,Jiang YN,Chen, QS,et al. 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,&Chinese Acad Sci, Inst Mech, Key Lab Micrograv, 15 Beisihuan W Rd, Beijing 100190, Peoples R China..(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.

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