This paper describes the dynamic process model and solution technique developed for the hot blast stoves used with the No. 7 blast furnace at the Ispat Inland Steel facility in East Chicago, IN, USA. A detailed, distributed parameter, heat transfer model of this thermal regenerator system is developed and verified using plant data. The model is capable of predicting accurately the temperature and energy content of the stoves during the thermal regenerative cycles. It was developed for a predictive controller that determines the minimum amount of fuel necessary to achieve the energy requirements from the system.