Approximate theory of natural-convection with small grashof number

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	Approximate theory of natural-convection with small grashof number
	Li JC(李家春)
刊名	Science in China Series A-Mathematics Physics Astronomy
	1989
卷号	32 期号:10 页码:1203-1215
关键词	low-gravity flow natural convection Grashof number analogy plate bending
ISSN号	1001-6511
通讯作者	LI, JC (reprint author), ACAD SINICA,INST MECH,BEIJING 100080,PEOPLES R CHINA.
中文摘要	To gain some insight into the behaviour of low-gravity flows in the material processing in space, an approximate theory has been developed for the convective motion of fluids with a small Grashof number Gr. The expansion of the variables into a series of Gr reduces the Boussinesq equation to a system of weakly coupled linearly inhomogeneous equations. Moreover, the analogy concept is proposed and utilized in the study of the plate bending problems in solid mechanics. Two examples are investigated in detail, i. e. the 2-dimensional steady flows in either circular or square infinite closed cylinder, which is horizontally imposed at a specified temperature of linear distribution on the boundaries. The results for stream function ψ, velocity u and temperature T are provided. The analysis of the influences of some parameters such as the Grashof number Gr and the Prandtl number Pr, on motions will lead to several interesting conclusions. The theory seems to be useful for seeking for an analytical solutions. At least, it will greatly simplify the complicated problems originally governed by the Navier-Stokes equation including buoyancy. It is our hope that the theory might be applicable to unsteady or 3-dimensional cases in future.
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
收录类别	SCI
语种	英语
WOS记录号	WOS:A1989AZ60600006
公开日期	2009-08-03 ; 2010-08-20
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/39614]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Li JC. Approximate theory of natural-convection with small grashof number[J]. Science in China Series A-Mathematics Physics Astronomy,1989,32(10):1203-1215.
APA	李家春.(1989).Approximate theory of natural-convection with small grashof number.Science in China Series A-Mathematics Physics Astronomy,32(10),1203-1215.
MLA	李家春."Approximate theory of natural-convection with small grashof number".Science in China Series A-Mathematics Physics Astronomy 32.10(1989):1203-1215.