A lattice Boltzmann method to simulate combined radiation–force convection heat transfer mode

Lattice Boltzmann method is extended to solve a combined mode of radiation and force convection heat transfer problem in a channel. Effects of different parameters such as radiation parameters, Peclet number, and emissivity on temperature distribution are investigated. To benchmark the accuracy of the LBM model, the results are compared by the published results of the same geometry modeled by the finite volume method. It is observed that there are good agreements between the LBM and FVM results for all cases. Moreover, the shares of advection, radiation and conduction terms in energy equation are 0.0024, 0.9974, and 0.0002, respectively, for the last one-third piece of the channel.