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Understanding unsteady Rayleigh–Bénard convection (RBC) with thermal radiation, is one of the fundamental problems in fluid dynamics. For many of the thermal systems, it is found for example in boilers, furnaces, IC engines, gas turbines, reentry vehicles, etc., its accurate consideration is not only important in their designs, but in their operations too. The numerical analysis of convection radiation requires solving a set of governing partial differential and integro-differential equations. Knowing that, in any combined mode heat transfer problem involving volumetric radiation, computation of the radiative information is more time-consuming than that for solving the energy equation because of the angular dependence (Mishra et al., 2014a, 2014b), so it is not uncommon to select different methods for

Analysis of Rayleigh-Bénard convection with thermal volumetric radiation using Lattice Boltzmann Formulation