在连续统一模型的基础上建立了描述反向凝固结晶器中的流动与传热的数学模型。利用有限差分方法 ,计算出了反向凝固结晶器中母带厚度的变化规律 ,随着母带在钢液中停留时间的增加 ,母带厚度初期迅速增长 ,中期平衡相持 ,后期快速回熔 ;并进一步研究了反向凝固母带拉速对结晶器中流场的影响情况 ,拉速较小时 ,紧贴母带的钢液随母带一同运动 ,对整个流场的影响不大 ,当拉速较大或拉速变化较大时 ,部分甚至整个流场都发生了变化。计算结果表明采用数值模拟求解结果与试验数据是吻合的 ,证明假设合理 ,模型正确 Based on the continuous uniform model, a mathematical model describing the flow and heat transfer in the reverse solidification crystallizer was established. With the finite difference method, the variation law of the masterbatch thickness in the countercrystallization mold was calculated. With the increase of residence time of the masterbatch in the molten steel, the masterbatch thickness increased rapidly at the initial stage, the mid-term equilibrium was steady, The effect of reverse solidification rate on the flow field in the mold was further studied. When the rate of pulling was small, the liquid steel close to the mother band moved along with the mother band, which had little effect on the flow field. Larger speed or pull speed changes, some even the entire flow field have changed. The calculation results show that the numerical simulation results are in good agreement with the experimental data to prove the hypothesis is reasonable and the model is correct