开发了一种可用于方坯加热炉加热制度分析以及实时计算的方坯二维温度模型，该模型包括沿炉长方向的温度分布计算，方坯表面热流密度计算以及方坯内部二维热传导计算。加热炉炉长方向炉温分布根据热电偶测温数据获得；根据总括热吸收率方法计算方坯上、下表面的热流密度数值，并由此计算方坯侧面热流密度；对方坯内部热传导建立二维差分方程组，并利用ADI和TDMA算法进行求解。通过埋偶试验验证了模型方法的正确性，在某钢厂高线加热炉的运行测试表明，模型能够用于辅助制定钢种的加热制度，在线计算则表明了模型计算的通用性和实时性。

A 2D temperature model was proposed for heating rules and real-time calculation during heating process on billet reheating furnace, which included furnace temperature calculation along furnace length, billet surface fluxes calculation and conduction calculation inside billet. First, furnace temperature was accomplished according to thermocouple. Then fluxes on the above and below surfaces were calculated by total heat exchange factor method, as well as lateral fluxes. ADI and TDMA algorithms were adopted to calculate billet internal temperature distribution. Validation was carried out by thermocouple experiments and a model system was established in a hot rolling plant to provide appropriate heating rules and real-time temperature prediction. It shows precision and responsibility during reheating furnace production.