Abstract
The study presents the heat transfer phenomena of steady buoyancy driven flows inside a three-dimensional square enclosure. The thermal boundary condition of this enclosure are the vertical side walls are maintained at constant temperature difference and all the other walls are adiabatic. Reynolds averaged Navier stokes (RANS) equations are used to model the flow phenomena inside the enclosure, these equations are discretized using finite difference method (FDM) based Fortran code which was developed in house. The study is done for varying Grashof numbers 105 ≤ Gr ≤ 107 and a constant Prandtl number 6.2. The results indicated that as the Grashof number increases the temperature along the enclosure decreases by 24.2% and the rate of transfer of heat inside the enclosure increased by 26%.
Highlights
Natural convection heat transfer has many applications in engineering fields such as cooling of electronics, solar water heaters, thermal plants etc
The present study investigates the transfer of heat for steady natural convection flow in cubical enclosure
The numerical simulations are performed by using a Finite difference based [11-14] (FDM) Fortran code, where the problem is modeled as natural convection flow
Summary
Natural convection heat transfer has many applications in engineering fields such as cooling of electronics, solar water heaters, thermal plants etc. Paroncini et al [8] presented a numerical and experimental study of air flow due to natural convection in square cavities with its vertical side walls kept at different temperatures at different locations. They conducted experimental test cases with different heat and cold sources with different lengths on the side wall to study its effect of heat transfer in natural convection. Frederick and Berbakow [10] performed numerical analysis of natural convection in a cubical enclosure with one of the wall as a heat source and the adjacent wall is cooled for a Rayleigh numbers range of 104-106. The numerical method used is a Finite difference (FDM) solved using a in-house Fortran code
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