Abstract
The present study reports numerical results of natural convection with surface radiation in an inclined square cavity filled with air, using the multirelaxation-time (MRT) scheme of the lattice Boltzmann method (LBM). The cavity is heated from one side with a constant temperature and submitted from the opposite side to a temperature that varies linearly along the boundary, while the remaining parallel walls are considered adiabatic. The purpose of the study is twofold: testing the performance of the MRT scheme in the presence of convection–radiation coupling and analyzing the effect of thermal radiation by quantifying its contribution to the overall heat transfer. Combined effects of the Rayleigh number, the inclination angle, and the emissivity of the walls on fluid flow and heat transfer are analyzed. The obtained results show that the surface radiation has an important quantitative effect on the overall heat transfer. Also, the results of this preliminary study confirm that the MRT-LBM method is a robust tool of simulation that can be used instead of the classical methods to simulate the heat transfer by natural convection coupled with surface radiation.
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