A mesoscopic model for thermal–solutal problems of power-law fluids through porous media

A mesoscopic method based on the lattice Boltzmann for thermal–solutal incompressible non-Newtonian power-law fluids through porous media is introduced. The macroscopic equations of different representative element volume (REV) models are presented, and various REV reported. general model two- three-dimensional cases their derivations shown. To demonstrate ability proposed method, natural convection double-diffusive Newtonian in cavities studied, results validated against previous findings. Finally, a cubic cavity filled with fluid simulated by method.