Convective instabilities in a rotating vertical Hele-Shaw cell

	Convective instabilities in a rotating vertical Hele-Shaw cell
	Zhang, Keke ; Liao, Xinhao; Zhan, Xiaoya ; Zhu, Rixiang
刊名	PHYSICS OF FLUIDS
	2006-12-01
卷号	18 期号:12 页码:124102-1
英文摘要	Convective instabilities driven by vertical buoyancy in a Boussinesq fluid in a rotating vertical Hele-Shaw cell, a long channel with rectangular cross section of finite height h and small width Gamma h with Gamma < 1, are investigated both analytically and numerically. The problem is characterized by the Taylor number T, the Rayleigh number R, and the aspect ratio Gamma. Explicit asymptotic solutions describing convective instabilities are derived for Gamma T-1/6 < 1, where T is assumed to be large compared to unity. Comparison between the asymptotic and fully numerical solutions shows a satisfactory quantitative agreement. It is found that an overall condition for convective instabilities becomes optimal when Gamma T-1/6=O(1). Direct three-dimensional simulations for strongly nonlinear convection are also carried out in the regime 0 <(R-R-c)/R-c <= O(10), where R-c denotes the critical Rayleigh number. As a consequence of both the geometric and dynamic constraints imposed by the narrow channel (geometric) and rapid rotation (dynamic), the nonlinear flow remains temporally stationary and spatially simple and is comprised primarily of vertically long thin convection cells that transport heat all the way from the bottom to the top of the channel. (c) 2006 American Institute of Physics.
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]	THERMAL-CONVECTION ; FLUID LAYER ; SHELLS
收录类别	SCI
语种	英语
WOS记录号	WOS:000243158200024
内容类型	期刊论文
源URL	[http://119.78.226.72/handle/331011/19418]
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 3.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Keke,Liao, Xinhao,Zhan, Xiaoya,et al. Convective instabilities in a rotating vertical Hele-Shaw cell[J]. PHYSICS OF FLUIDS,2006,18(12):124102-1.
APA	Zhang, Keke,Liao, Xinhao,Zhan, Xiaoya,&Zhu, Rixiang.(2006).Convective instabilities in a rotating vertical Hele-Shaw cell.PHYSICS OF FLUIDS,18(12),124102-1.
MLA	Zhang, Keke,et al."Convective instabilities in a rotating vertical Hele-Shaw cell".PHYSICS OF FLUIDS 18.12(2006):124102-1.