Abstract
This study investigates the natural convection induced by a temperature difference between cold outer polygonal enclosure and hot inner circular cylinder. The governing equations are solved numerically using built-in finite element method of COMSOL. The governing parameters considered are the number of polygonal sides, aspect ratio, radiation parameter, and Rayleigh number. We found that the number of contra-rotative cells depended on polygonal shapes. The convection heat transfer becomes constant at [Formula: see text] and the polygonal shapes are no longer sensitive to the Nusselt number profile.
Highlights
Fluid flow and natural convection heat transfer from a heated body inside enclosures have long been studied and have received more attention due to its direct relevance to many engineering and technological applications such as flood protection for buried pipes, solidification processes, heat exchange, electronic packaging, and chemical reactors
An efficient approach to simulate natural convection in arbitrarily eccentric annuli by vorticity-stream function formation has been proposed by Shu et al.[5]
It is worth mentioning that the different polygonal shapes have fixed volume at each L=D ratio
Summary
Fluid flow and natural convection heat transfer from a heated body inside enclosures have long been studied and have received more attention due to its direct relevance to many engineering and technological applications such as flood protection for buried pipes, solidification processes, heat exchange, electronic packaging, and chemical reactors. Natural convection in enclosures containing a heated circular cylinder is studied rigorously in the literature. Yang and Tao[1] investigated the natural convection heat transfer in a cylindrical envelope with an internal concentric slotted hollow cylinder. Guj and Stella[3] numerically considered the natural convection in horizontal eccentric annuli. SW Baek and CY Han[4] investigated the effects on natural convection phenomena by radiation in concentric and eccentric horizontal cylindrical annuli. Abu-Nada et al.[7] studied the heat transfer enhancement in horizontal concentric annuli using nanofluids. The nanofluids in a lid-driven cavity with a rotating circular cylinder were investigated by Chatterjee et al.[8]
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