A mathematical model to describe the region of the blast furnace in which the charge materials are in the viscoplastic state (VPR) has been constructed for a blast furnace at the West Siberian Metallurgical Combine. The furnace has a standard bell-and-hopper charging apparatus and movable top slabs. The results of studies that were conducted led to the development of an automated system to monitor the VPR in blast furnaces. The system allows furnace operators to form the required VPR profile in accordance with current objectives. It also allows them to make real-time determinations of the reasons for changes in the gas flow inside the furnace, that flow being affected mainly by the internal profile of the furnace and the location of the VPR. Ultimately, use of the system allows the operators to promptly take action to keep the charge distribution, and gas flow optimum.