Forced Convection Characteristics with Parabolic Temperature Variations in a Transposed C-Shaped Lid-Driven Square Cavity using Lattice Boltzmann Method

Abstract

The present study is focused on the numerical simulations of forced convection characteristics with parabolic temperature variations in a wall-driven C-Shaped cavity using the lattice Boltzmann method. In this study, the flow parameters being investigated are Reynolds number, Nusselt number, skin friction coefficient, kinetic energy density function, and aspect ratio. The results show that the development of the primary vortex inside the cavity can lead to an assisting effect to the different hot surfaces for different aspect ratios to enhance the heat transfer rate. It is found that for aspect ratio one, the upper hot surface, assigned with parabolic temperature variations, gives the best heat transfer rate, whereas, for aspect ratios two and three, the right hot surface gives the best heat transfer rates. Further, The average Nusselt number is found to be increasing with the increase of Reynolds number and found to be decreasing with the increase of aspect ratio. Besides this, for low Reynolds numbers with elongation of the cavity in the horizontal direction, perfect sand clock patterns are recorded in the streamlines formation, whereas for high Reynolds numbers, the sand clock patterns become distorted in the streamlines formation. Moreover, the distribution of the skin friction coefficient and the kinetic energy density function against the Reynolds number is also presented.