Mathematical model of the blast furnace main trough lining condition

The main trough of a blast furnace represents a complex technological structure that plays a critical role in the ironmaking process by draining molten cast iron and slag from the furnace hearth, thus ensuring the continuity and safety of the process. The reliable operation of the trough directly impacts the blast furnace productivity. The trough must be designed to withstand extremely high temperatures and aggressive chemical environments, and its proper functioning requires constant monitoring and maintenance. Selection of refractory materials and lining technology, as well as the potential for enhancing the resistance of refractory linings in the main mining troughs and extending their service life, are contingent on the timely acquisition of information regarding the thermal load on the refractory layers and casing, the operating conditions, design characteristics, and destruction processes of refractories in interaction with cast iron and slag. The control systems of the blast furnace main mining trough are designed to ensure its safe and efficient operation, by detecting deviations from normal mode in a timely manner and preventing emergency situations. These systems include visual, instrumental and automatic control. The monitoring system of the main mining troughs heat-up will allow the blast furnace technological personnel to control the condition of troughs, estimate their remaining life and make timely decisions on their repair. The developed mathematical model of the blast furnace main trough lining condition takes into account real-time thermocontrol of the blast furnace mining trough casings. It is aimed at obtaining operative information on the main mining troughs heat-up, and is based on the solution of the problem of stationary heat conduction of a multilayer flat wall, each layer of which is a homogeneous wall.