Convection in rotating annular channels heated from below. Part 3: Experimental boundary conditions
文献类型：期刊论文
| 作者 | Zhan, X.1; Liao, X.2 ; Zhu, R.3; Zhang, K.1
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| 刊名 | GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS
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| 出版日期 | 2009 |
| 卷号 | 103期号:6页码:443-466 |
| 关键词 | Convection Rotation Channel Experimental boundary conditions |
| 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标题词 | Science & Technology ; Physical Sciences ; Technology |
| 类目[WOS] | Astronomy & Astrophysics ; Geochemistry & Geophysics ; Mechanics |
| 研究领域[WOS] | Astronomy & Astrophysics ; Geochemistry & Geophysics ; Mechanics |
| 关键词[WOS] | RAYLEIGH-BENARD CONVECTION ; HELE-SHAW CELL ; FLUID LAYER ; TRANSITION ; TURBULENCE ; PATTERN ; LIQUID ; ONSET |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000273110900002 |
| 源URL | [http://119.78.226.72/handle/331011/19557]  |
| 专题 | 上海天文台_天文地球动力学研究中心 |
| 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. |
入库方式： OAI收割
来源：上海天文台
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