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The article describes a two-dimensional mathematical model of metal heating in the continuous walking beam reheating furnace. The mathematical description of metal heating includes a differential thermal conductivity quotation with initial and boundary conditions. The model incorporates dependencies between the thermophysical properties of heated metal and temperature. The process of pre-set plate heating with a time variable load was modeled in Ansys software. Distribution of temperatures over the slab section at the furnace exit was determined. The obtained results of the virtual experiment were compared with the data of theindustrial experiment carried out at the existing plant of a steel production factory. The comparison between the calculations of the adapted mathematical model and data of the industrial experiment showed a coincidence of 97%. The prospects for further use of the mathematical model in the automated control system of furnace thermal operation were defined. Keywords: continuous reheating furnace, thermal conductivity quotation, finite difference method, mathematical model

Mathematical Model of Metal Heating in the Continuous Walking Beam Reheating Furnace