Knowledge Management System of Institue of Mechanics, CAS
| Approximate theory of natural-convection with small grashof number | |
Li JC(李家春) ; LI, JC (reprint author), ACAD SINICA,INST MECH,BEIJING 100080,PEOPLES R CHINA.
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| Source Publication | Science in China Series A-Mathematics Physics Astronomy
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| 1989 | |
| Volume | 32Issue:10Pages:1203-1215 |
| ISSN | 1001-6511 |
| Abstract | 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. |
| Keyword | Low-gravity Flow Natural Convection Grashof Number Analogy Plate Bending |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:A1989AZ60600006 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/39614 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | LI, JC (reprint author), ACAD SINICA,INST MECH,BEIJING 100080,PEOPLES R CHINA. |
| Recommended Citation GB/T 7714 | Li JC,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,&LI, JC .(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,et al."Approximate theory of natural-convection with small grashof number".Science in China Series A-Mathematics Physics Astronomy 32.10(1989):1203-1215. |
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