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1.前言 钢锭加热数学模型包括金属不稳定态导热差分方程组,炉膛热平衡方程,炉壁不稳定态导热差分方程组,炉气-废气温度模型等。这些方程(组)在各自的边界条件下,联立求解可得出任意时刻的钢锭温度分布、炉壁温度分布、炉气温度、废气温度、热负荷等,并可进而得出体积平均温度、焓平均温度、凝固率等。但是,由于边界条件比较复杂(主要表现为炉内热交换过程复杂、加热过程不仅随时间而变,而且随炉况而变),
1. INTRODUCTION The mathematical model of ingot heating includes the thermally unstable difference equations of metal instability, the heat balance equations of the furnace, the differential thermal equations of the furnace wall, and the temperature-gas temperature model. Under the respective boundary conditions, the equations (sets) can be solved simultaneously to obtain the ingot temperature distribution, the furnace wall temperature distribution, the furnace temperature, the exhaust gas temperature and the heat load at any time, and then the volume average temperature, Enthalpy average temperature, solidification rate and so on. However, due to the complicated boundary conditions (mainly manifested as the complex heat exchange process in the furnace, the heating process not only changes with time, but also changes with the furnace conditions)