Linear instability analysis of convection in a laterally heated cylinder

	Linear instability analysis of convection in a laterally heated cylinder
	Wang, Bo-Fu; Wan, Zhen-Hua; Guo, Zhi-Wei; Ma, Dong-Jun; Sun, De-Jun
刊名	JOURNAL OF FLUID MECHANICS
	2014
卷号	747 页码:447-459
关键词	buoyancy-driven instability convection convection in cavities
ISSN号	0022-1120
通讯作者	Guo, ZW (reprint author), Wuhan Univ, Sch Water Resources & Hydropower Engn, Wuhan 430072, Hubei, Peoples R China.
英文摘要	The three-dimensional instabilities of axisymmetric flow are investigated in a laterally heated vertical cylinder by linear stability analysis. Heating is confined to a central zone on the sidewall of the cylinder, while other parts of the sidewall are insulated and both ends of the cylinder are cooled. The length of the heated zone equals the radius of the cylinder. For three different aspect ratios, A = 1.92, 2, 2.1 (A = height/radius), the dependence of the critical Rayleigh number on the Prandtl number (from 0.02 to 6.7) has been studied in detail. For such a kind of laterally heated convection, some interesting stability results are obtained. A monotonous instability curve is obtained for A = 1.92, while the instability curves for A = 2 and A = 2.1 are non-monotonous and multivalued. In particular, an instability island has been found for A = 2. Moreover, mechanisms corresponding to different instability results are obtained when the Prandtl number changes. At small Prandtl number, the flow is oscillatory unstable, which is dominated by hydrodynamic instability. At intermediate Prandtl number, the interaction between buoyancy and shear in the base flow plays a more important role than pure hydrodynamic instability. At even higher Prandtl number, Rayleigh B enard instability becomes the dominant process and the flow loses stability through steady bifurcation.
学科主题	空间物理
收录类别	SCI
语种	英语
内容类型	期刊论文
源URL	[http://ir.nssc.ac.cn/handle/122/2755]
专题	国家空间科学中心_空间科学部
推荐引用方式 GB/T 7714	Wang, Bo-Fu,Wan, Zhen-Hua,Guo, Zhi-Wei,et al. Linear instability analysis of convection in a laterally heated cylinder[J]. JOURNAL OF FLUID MECHANICS,2014,747:447-459.
APA	Wang, Bo-Fu,Wan, Zhen-Hua,Guo, Zhi-Wei,Ma, Dong-Jun,&Sun, De-Jun.(2014).Linear instability analysis of convection in a laterally heated cylinder.JOURNAL OF FLUID MECHANICS,747,447-459.
MLA	Wang, Bo-Fu,et al."Linear instability analysis of convection in a laterally heated cylinder".JOURNAL OF FLUID MECHANICS 747(2014):447-459.