Thermal non-equilibrium model subjected to thermal radiation impact and dust particles suspension in a porous square cavity

Abstract

Heat transfer due to a square Darcy porous cavity in the presence of dust particles and thermal radiation effect by applying the thermal non-equilibrium model is investigated numerically in the current paper. The square cavity is maintained at a hot temperature at the left side wall, and the right side wall is maintained at cold temperature. While the bottom and top walls of the cavity are considered adiabatic. The impact of governing physical parameters on the streamlines, isotherms contours for the fluid and dust phases and isotherms for the solid phase are tested and represented through Graphic. In addition, the profiles of the average Nusselt numbers for solid and fluid phases and the total average Nusselt number are presented. The finite difference method is convenient to obtain a numerical analysis of the non-dimensionalized equations via the influence of mass concentration of the dust particles, fluid-particle interaction parameter for velocity, fluid-particle interaction parameter for temperature, Eckert number, radiation parameter, Rayleigh number, modified conductivity ratio, and inter-phase heat transfer coefficient. The results urge that the presence of dust particles leads to reduces the heat transfer rate at the left wall of the enclosure.