建立了描述硅铁块在型内熔化过程中传输现象的数学模型，在固相、液相和糊状区中的流体流动、热量和溶质传输用统一方程描述，用控制容积差分法耦合求解质量、动量、能量和溶质守恒方程，计算结果与试验结果进行了对比，两者基本一致，表明所建立的数学模型和采用的计算方法能够用于模拟型内孕育硅铁块的熔化过程，实现型内孕育工艺的优化设计。 A mathematical model describing the transport of ferrosilicon during in-mold melting was established. The fluid flow, heat and solute transport in the solid phase, liquid phase and pasty zone were described by a uniform equation and coupled by a controlled volumetric difference method to solve the mass , Momentum, energy and solute conservation equations, the calculated results are compared with the experimental results, the two are basically the same, which shows that the mathematical model and the calculation method can be used to simulate the melting process of ferrosilicon blocks, Optimized design of internal breeding process.