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Rayleigh-Bénard convection in a vertical annular container near the convection threshold
Wang, Bo-Fu; Wan, Zhen-Hua; Ma, Dong-Jun; Sun, De-Jun; 北京8701信箱
Department空间科学部
Source PublicationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
2014
Volume89Issue:4Pages:043014
ISSN1539-3755
Language英语
AbstractThe 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.
Indexed BySCI ; EI
Funding Project中国科学院空间科学与应用研究中心
Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/2741
Collection空间科学部
Corresponding Author北京8701信箱
Recommended Citation
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,&北京8701信箱.(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.
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