Convection in rotating annular channels heated from below. Part 3: Experimental boundary conditions

doi:10.1080/03091920903384546

	Convection in rotating annular channels heated from below. Part 3: Experimental boundary conditions
	Zhan, X.1; Liao, X.2; Zhu, R.3; Zhang, K.1
刊名	GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS
	2009
卷号	103 期号:6 页码:443-466
关键词	Convection Rotation Channel Experimental boundary conditions
ISSN号	0309-1929
DOI	10.1080/03091920903384546
文献子类	Article
英文摘要	Results are presented from both linear stability analysis and numerical simulations of three-dimensional nonlinear convection in a Boussinesq fluid in an annular channel, under experimental boundary conditions, rotating about a vertical axis uniformly heated from below. The focus is placed on the Prandtl number Pr = 7.0, representing liquid water at room temperature. The linear analysis shows that, when the aspect ratio is sufficiently small, there exists only one stationary mode that occupies the whole fluid container. When the aspect ratio is moderate or large, however, there exist three different linear solutions: (i) the outer sidewall-localized traveling wave propagating against the sense of rotation; (ii) the inner sidewall-localized traveling wave propagating in the same sense as rotation; and (iii) both the counter-traveling waves occurring simultaneously. Guided by the result of the linear stability analysis, fully three-dimensional simulations are then performed for a channel with a moderate aspect ratio. It is found that neither the prograde nor the retrograde mode is physically realizable near threshold and beyond. The dynamics of nonlinear convection in a rotating channel are chiefly characterized by the interaction between the sidewall-localized waves and the interior convection cells/rolls, producing an interesting and unusual nonlinear phenomenon. In order to compare with the classical Rayleigh-Benard problem without vertical sidewalls, we also study linear and nonlinear convection at exactly the same parameters but in an infinitely extended layer with periodic horizontal conditions. This reveals that both the linear instability and nonlinear convection in a rotating channel are characteristically different from those in a rotating layer with periodic horizontal conditions.
WOS关键词	RAYLEIGH-BENARD CONVECTION ; HELE-SHAW CELL ; FLUID LAYER ; TRANSITION ; TURBULENCE ; PATTERN ; LIQUID ; ONSET
WOS研究方向	Astronomy & Astrophysics ; Geochemistry & Geophysics ; Mechanics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000273110900002
资助机构	NSFC ; NSFC ; CAS ; CAS ; UK NERC ; UK NERC ; STFC ; STFC ; NSFC ; NSFC ; CAS ; CAS ; UK NERC ; UK NERC ; STFC ; STFC ; NSFC ; NSFC ; CAS ; CAS ; UK NERC ; UK NERC ; STFC ; STFC ; NSFC ; NSFC ; CAS ; CAS ; UK NERC ; UK NERC ; STFC ; STFC
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/70876]
专题	中国科学院地质与地球物理研究所
通讯作者	Zhang, K.
作者单位	1.Univ Exeter, Dept Math Sci, Ctr Geophys & Astrophys Fluid Dynam, Exeter EX4 4QE, Devon, England 2.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China 3.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Zhan, X.,Liao, X.,Zhu, R.,et al. Convection in rotating annular channels heated from below. Part 3: Experimental boundary conditions[J]. GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS,2009,103(6):443-466.
APA	Zhan, X.,Liao, X.,Zhu, R.,&Zhang, K..(2009).Convection in rotating annular channels heated from below. Part 3: Experimental boundary conditions.GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS,103(6),443-466.
MLA	Zhan, X.,et al."Convection in rotating annular channels heated from below. Part 3: Experimental boundary conditions".GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS 103.6(2009):443-466.