The interaction of thermal radiation and variable diffusivity through a vertical cone has been explored. The Soret and Dufour effects are considered. The main interest is focused on the investigation of properties of both wall heat flux alongside the mass flux through the porous medium. The modeled governing equations are simplified by employing the similarity transformations. The final governing controlled equations are resolved numerically. The behavior of flow field, dimensionless temperature and concentration for the sundry physical flow variables are elaborately analyzed via graphs. We have introduced that the novelty for our work lies in the dependence of variable heat flux on the thermal radiation, whereas the mass flux basically relies on the concentration. Comparison of the present results with the available literature reveals a high performance of the shooting technique for heat and mass transfer rates prediction.

中文翻译：

---

多孔介质中自然对流流体沿具有可变扩散率和壁面热通量和质量通量的垂直锥流动的数值解

已经探索了通过垂直锥体的热辐射和可变扩散率的相互作用。考虑了 Soret 和 Dufour 效应。主要兴趣集中在研究壁热通量和通过多孔介质的质量通量的性质。通过采用相似变换简化了建模的控制方程。最终的控制控制方程以数值方式求解。通过图表详细分析了各种物理流动变量的流场行为、无量纲温度和浓度。我们已经介绍了我们工作的新颖性在于可变热通量对热辐射的依赖性，而质量通量基本上取决于浓度。