Rayleigh-Bénard convection in a vertical annular container near the convection threshold

	Rayleigh-Bénard convection in a vertical annular container near the convection threshold
	Wang, Bo-Fu ; Wan, Zhen-Hua ; Ma, Dong-Jun ; Sun, De-Jun
刊名	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
	2014
卷号	89 期号:4 页码:043014
ISSN号	1539-3755
通讯作者	北京8701信箱
中文摘要	The instabilities and transitions of flow in an annular container with a heated bottom, a cooled top, and insulated sidewalls are studied numerically. The instabilities of the static diffusive state and of axisymmetric flows are investigated by linear stability analysis. The onset of convection is independent of the Prandtl number but determined by the geometry of the annulus, i.e., the aspect ratio Γ (outer radius to height) and radius ratio δ (inner radius to outer radius). The stability curves for onset of convection are presented for 0.001≤δ≤0.8 at six fixed aspect ratios: Γ=1, 1.2, 1.6, 1.75, 2.5, and 3.2. The instability of convective flow (secondary instability), which depends on both the annular geometry and the Prandtl number, is studied for axisymmetric convection. Two pairs of geometric control parameters are chosen to perform the secondary instability analysis - Γ=1.2, δ=0.08 and Γ=1.6, δ=0.2 - and the Prandtl number ranges from 0.02 to 6.7. The secondary instability exhibits some similarities to that for convection in a cylinder. A hysteresis stability loop is found for Γ=1.2, δ=0.08 and frequent changes of critical mode with Prandtl number are found for Γ=1.6, δ=0.2. The three-dimensional flows beyond the axisymmetry-breaking bifurcations are obtained by direct numerical simulation for Γ=1.2, δ=0.08. © 2014 American Physical Society.
学科主题	空间物理
收录类别	SCI ; EI
语种	英语
内容类型	期刊论文
源URL	[http://ir.nssc.ac.cn/handle/122/2741]
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,Ma, Dong-Jun,et al. Rayleigh-Bénard convection in a vertical annular container near the convection threshold[J]. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics,2014,89(4):043014.
APA	Wang, Bo-Fu,Wan, Zhen-Hua,Ma, Dong-Jun,&Sun, De-Jun.(2014).Rayleigh-Bénard convection in a vertical annular container near the convection threshold.Physical Review E - Statistical, Nonlinear, and Soft Matter Physics,89(4),043014.
MLA	Wang, Bo-Fu,et al."Rayleigh-Bénard convection in a vertical annular container near the convection threshold".Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 89.4(2014):043014.