Mathematical modelling is very useful for realizing a full-scale simulation of the ironmaking process in a blast furnace (BF). A continuum model is proposed for this purpose here, which couples the elasticity, flow rheology, diffusion and segregation of binary granular materials. This model is shown to reproduce the flow patterns of BF like the deadman, converging zone and plugging zone, in both concentric and eccentric discharging BF, given careful consideration of the boundary conditions. Good agreement with the burden stresses up-scaled from a discrete particle simulation is also achieved. Its validity to model the particle percolation is testified using two representative cases - the charging and the descending processes of BF, respectively. The yielded local particle concentration is shown to be comparable with those of DEM and experiment. The proposed model and method are promising in addressing the complicated solid flow, mixing and segregating problems of binary particles in a BF.

数学模型对于实现高炉（BF）中炼铁过程的全面模拟非常有用。为此，在此提出了一个连续模型，该模型将二元颗粒材料的弹性，流动流变性，扩散和偏析耦合在一起。该模型表明，在仔细考虑边界条件的情况下，在同心和偏心排放BF中，都可以重现BF的流型，如无人值守，收敛区和堵塞区。还实现了与从离散粒子模拟按比例放大的负荷应力的良好一致性。两种代表性情况证明了其对颗粒渗滤建模的有效性：分别是高炉的装料过程和高炉的下降过程。产生的局部颗粒浓度显示出与DEM和实验相当。