On the initial-value problem in a rotating circular cylinder

	On the initial-value problem in a rotating circular cylinder
	Zhang, Keke 1; Liao, Xinhao2
刊名	JOURNAL OF FLUID MECHANICS
	2008-09-10
卷号	610 期号:1 页码:425-443
英文摘要	The initial-value problem in rapidly rotating circular cylinders is revisited. Four different but related analyses are carried out: (i) we derive a modified asymptotic expression for the viscous decay factors valid for the inertial modes of a broad range of frequencies that are required for an asymptotic solution of the initial value problem at an arbitrarily small but fixed Ekman number; (ii) we perform a fully numerical analysis to estimate the viscous decay factors, showing satisfactory quantitative agreement between the modified asymptotic expression and the fuller numerics; (iii) we derive a modified time-dependent asymptotic solution of the initial value problem valid for an arbitrarily small but fixed Ekman number and (iv) we perform fully numerical simulations for the initial value problem at a small Ekman number, showing satisfactory quantitative agreement between the modified time-dependent solution and the numerical simulations.
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]	INSTABILITIES ; CONVECTION ; BREAKDOWN ; FLUIDS ; WAVES ; FLOWS
收录类别	SCI
语种	英语
WOS记录号	WOS:000259046000019
内容类型	期刊论文
源URL	[http://119.78.226.72/handle/331011/19339]
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	Zhang, Keke,Liao, Xinhao. On the initial-value problem in a rotating circular cylinder[J]. JOURNAL OF FLUID MECHANICS,2008,610(1):425-443.
APA	Zhang, Keke,&Liao, Xinhao.(2008).On the initial-value problem in a rotating circular cylinder.JOURNAL OF FLUID MECHANICS,610(1),425-443.
MLA	Zhang, Keke,et al."On the initial-value problem in a rotating circular cylinder".JOURNAL OF FLUID MECHANICS 610.1(2008):425-443.