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Numerical simulations of transitional and turbulent natural convection in laterally heated cylindrical enclosures for crystal growth

ABSTRACT The present numerical work, the first of its kind, aims at establishing the threshold parameters for dynamic similitude (based on the Rayleigh number (Ra)), for free convection in a cylindrical enclosure heated laterally. Ra considered in this study spanned a range between 750 and 8.8 × 108, where the characteristic length, L, used in its definition is represented by the ratio of cylindrical enclosure’s volume to its lateral surface area. The commercial code, ANSYS FLUENT, is used to model a 2-D axisymmetric cylindrical geometry. When comparatively analyzed, the results allowed conclusions associating values of the Ra with flow development from laminar to turbulent.