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Steady, two-dimensional, natural convection in rectangular enclosures with differently heated walls

Journal Article · · J. Heat Transfer; (United States)
DOI:https://doi.org/10.1115/1.3248094· OSTI ID:6626986
Numerical results are presented for steady natural convection in two-dimensional rectangular enclosures in which the side walls, top wall, and bottom wall are at uniform temperatures theta/sub s/, theta/sub t/, respectively, and theta/sub s/>theta/sub t/>theta/sub b/. Rayleigh numbers ranging from 10/sup 4/ to 10/sup 7/ and aspect ratios of 1 and 1.5 were investigated. The top wall was modeled as an impermeable rigid surface or an impermeable free-moving boundary. The calculations reveal two flow regions. In the upper part of the enclosure two large counterrotating cells appear, separated by a descending plume of fluid. Near the bottom wall the flow is almost motionless and stably stratified. The temperature in the central portion of the enclosure is almost uniform due to mixing by the recirculating cells. A temperature inversion occurs near the top wall and is particularly noticeable at high Rayleigh numbers. At high Rayleigh numbers the flow breaks up into smaller cells. The result is that each main recirculation region develops a secondary counterrotating eddy within it. The condition of a free surface as the top wall boundary condition significantly affects the circulation and heat transfer throughout the flow domain. Numerical experiments reveal the extent to which the flow field in the enclosure is affected by an asymmetric specification of side-wall temperature boundary conditions.
Research Organization:
Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan 800, Republic of China
OSTI ID:
6626986
Journal Information:
J. Heat Transfer; (United States), Journal Name: J. Heat Transfer; (United States) Vol. 109:2; ISSN JHTRA
Country of Publication:
United States
Language:
English

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