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.

在本文中，通过应用热非平衡模型，对存在粉尘颗粒的正方形达西多孔腔的传热和热辐射效应进行了数值研究。方腔在左侧壁处保持高温，而右侧壁则保持低温。而空腔的底壁和顶壁被认为是绝热的。控制物理参数对流线，流体相和粉尘相的等温线等高线以及固相等温线的影响已通过图形测试和表示。此外，还提供了固相和液相的平均Nusselt数以及总的平均Nusselt数的曲线图。有限差分法可方便地通过灰尘颗粒的质量浓度，速度的流体-颗粒相互作用参数，温度的流体-颗粒相互作用参数，Eckert数，辐射参数的影响来获得无量纲方程的数值分析。瑞利数，修正的电导率和相间传热系数。结果敦促灰尘颗粒的存在会导致外壳左壁处的传热速率降低。