Conjugate turbulent natural convection with surface radiation in air filled rectangular enclosures |
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| Affiliation: | 1. Institute of Aerodynamics and Flow Technology, German Aerospace Center (DLR), Bunsenstr. 10, 37073 Göttingen, Germany;2. Institute of Thermodynamics and Fluid Mechanics, Ilmenau University of Technology, Helmholtzring 1, 98693 Ilmenau, Germany;1. College of Materials and Mineral Resources, Xi''an University of Architecture and Technology, Xi''an, Shaanxi 710055, China;2. School of Environmental and Municipal Engineering, Xi''an University of Architecture and Technology, Xi''an, Shaanxi 710055, China |
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| Abstract: | Conjugate turbulent natural convection and surface radiation in rectangular enclosures heated from below and cooled from other walls, typically encountered in Liquid Metal Fast Breeder Reactor (LMFBR) subsystems, have been investigated by a finite volume method for various aspect ratios. The formulation comprises the standard two equation k–ε turbulence model with physical boundary conditions (no wall functions), along with the Boussinesq approximation, for the flow and heat transfer. As far as radiation is concerned, the radiosity – irradiation formulation for a transparent fluid of Prandtl number 0.7 has been employed. The conjugate coupling on the walls has been handled by using a fin type formulation. The Rayleigh number based on the width of the enclosure is varied from 108 to 1012 and the aspect ratio is varied from 0.5 to 2.0. Detailed results including stream lines, temperature profiles, and convective, radiative and overall Nusselt numbers are presented. A correlation for the mean convection Nusselt number in terms of Rayleigh number and aspect ratio is proposed for design purposes. The influence of the wall emissivity and the external heat transfer coefficient on the heat transfer from the enclosure has also been investigated. |
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