A mathematical model is constructed to describe the heating of slabs in a continuous pusher furnace. The model is in the form of regression equations that link the temperatures in characteristic sections of the slabs with the temperatures in the zones of the furnace and heating time. The model was developed for the heating of 220-mm-thick cast slabs of low-carbon steel in the NShPS-1700 continuous pusher furnaces at the ArselorMittal Temirtau factory. A factorial experiment was performed and the finite-element method was realized in the software suite Deform-3D. The model can be used to assess the thermal state of slabs and improve the regimes used for heating the metal.
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