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A NUMERICAL STUDY OF NATURAL CONVECTIVE HEAT TRANSFER FROM TWO-SIDED CIRCULAR AND SQUARE HEATED HORIZONTAL ISOTHERMAL PLATES HAVING A FINITE THICKNESS

Rafiq Manna
Queen's University, Kingston, Ontario, Canada K7L 3N6

Patrick H. Oosthuizen
Department of Mechanical and Materials Engineering, Queen's University, 130 Stuart Street, Kingston, ON, K7L 3N6, Canada

DOI: 10.1615/TFEC2018.cfd.021540
pages 113-127


KEY WORDS: Natural convection, Horizontal plate, Finite thickness, Two-sided, Numerical, Circular plate, Square plate

Abstract

Several numerical and experimental studies of natural convective heat transfer from two-sided heated horizontal plates are available. In the numerical studies it has usually been assumed that the plate is thin, effectively having no thickness, whereas plates of finite thickness have been used in the experimental studies. To determine whether the plate thickness has a significant influence on the heat transfer rates from the upper and lower surfaces of the plate, results have here been numerically obtained for circular and square plates having various thicknesses. The upper and lower surfaces of the plate have been assumed to be isothermal and at the same temperature. Both the case where the vertical side edges of the plates are isothermal and at the same temperature as the upper and lower plate surfaces and the case where these side edges are adiabatic have been considered. The flow has been assumed to be steady and the Boussinesq approach has been adopted. Conditions under which laminar, transitional, and turbulent flows exist have been considered, the standard k-epsilon turbulence model being used. The solution has been obtained using ANSYS FLUENT©. Only the case where the heat transfer from the plate is to air has been considered. Variations of the Nusselt number with Rayleigh number for various dimensionless plate thicknesses for the two edge conditions considered have been obtained for circular and square plates. The results indicate that the dimensionless plate thickness has only a modest effect on the heat transfer rates from the plate surfaces.

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