A mathematical model based on two-dimensional heat transfer for predicting slab temperature in reheating furnace was derived. This model takes into account the radiation heat transfer between the slab and atmosphere gases and furnace walls, and the conduction heat transfer by temperature gradient in the length and the thickness direction within the slab. The slab temperature was calculated from the derived equation by using the difference method.
To vertify this model, actual slab average extraction temperature which could be estimated by the temperature after No 4 roughing mill using a pyrometer was compared with the calculated value. Results from this model showed that the accuracy of predicting slab temperature enhanced abot 6 ℃．