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On flow in weakly precessing cylinders: the general asymptotic solution

文献类型：期刊论文

作者Liao, Xinhao2; Zhang, Keke1
刊名JOURNAL OF FLUID MECHANICS
出版日期2012-10-25
卷号709期号:1页码:610-621
关键词boundary layer structure rotating flows waves in rotating fluids
英文摘要We investigate, through both asymptotic and numerical analysis, precessionally driven flow of a homogeneous fluid confined in a fluid-filled circular cylinder that rotates rapidly about its symmetry axis and precesses slowly about a different axis that is fixed in space. After demonstrating that the inviscid approximation is always divergent even far away from resonance, we derive a general asymptotic solution for an asymptotically small Ekman number in the rotating frame of reference describing the weakly precessing flow that satisfies the no-slip boundary condition and that is valid at or near or away from resonance. Numerical analysis of the same problem using the Galerkin method in terms of a Chebyshev polynomial expansion is also carried out, showing satisfactory agreement between the general asymptotic solution and the corresponding numerical solution at or near or away from resonance.
WOS标题词Science & Technology ; Technology ; Physical Sciences
类目[WOS]Mechanics ; Physics, Fluids & Plasmas
研究领域[WOS]Mechanics ; Physics
关键词[WOS]ROTATING FLUID CYLINDER ; BOUNDARY-CONDITIONS ; BREAKDOWN
收录类别SCI
语种英语
WOS记录号WOS:000309720600023
源URL[http://119.78.226.72/handle/331011/16157]  
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, Exeter EX4 4QE, Devon, England
2.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China
推荐引用方式
GB/T 7714		 Liao, Xinhao,Zhang, Keke. On flow in weakly precessing cylinders: the general asymptotic solution[J]. JOURNAL OF FLUID MECHANICS,2012,709(1):610-621.
APA Liao, Xinhao,&Zhang, Keke.(2012).On flow in weakly precessing cylinders: the general asymptotic solution.JOURNAL OF FLUID MECHANICS,709(1),610-621.
MLA Liao, Xinhao,et al."On flow in weakly precessing cylinders: the general asymptotic solution".JOURNAL OF FLUID MECHANICS 709.1(2012):610-621.

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来源：上海天文台

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