Lattice Boltzmann simulation of double-diffusive natural convection of viscoplastic fluids in a porous cavity

In this paper, a two-dimensional double diffusive natural convection in a porous cavity filled with viscoplastic fluids is simulated. The dimensional and non-dimensional macroscopic equations are presented, employing the Papanastasiou model for viscoplastic fluids and the Darcy-Brinkman-Forchheimer model for porous media. An innovative approach based on a modification of the lattice Boltzmann method is explained and validated with previous studies. The effects of the pertinent dimensionless parameters are studied in different ranges. The extensive results of streamlines, isotherms, and isoconcentration contours, yielded/unyielded regions, and local and average Nusselt and Sherwood numbers are presented and discussed.