Abstract
In this study, a hybrid model was developed to analyze the three-dimensional natural convection in a cubic cavity filled with a radiatively non-participating medium and bounded by thermally conductive finite thickness walls. Within this model, fluid flow was simulated by the mesoscopic lattice Boltzmann method. To determine the temperature in the solid and fluid regions, the finite difference technique was applied to solve macroscopic energy equation. Numerical modelling was performed for different Rayleigh numbers, heat diffusivity ratios and Biot numbers. It was found that flow behavior was slightly changed when varying the heat diffusivity ratio. Heat transfer rate at the hot wall was enhanced with an increase in the Biot number. Numerical performance of hybrid lattice Boltzmann model was more than 17 times higher than conventional finite difference technique combined with the vorticity – vector potential formulation.
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