"Establishing the technology for hot processing of some steels with special destination is connected in the first place to defining the warming conditions, depending on their technological characteristics. The choice of optimal regime is made, most of the times, relying on the practical experience because the analytical calculation methods give relative alues. This paper proposes to compare the data obtained from industrial experiments with theoretical calculation methods for their approximation. The key innovation introduced in this paper is represented by analytical solutions to determine the evolution of the ingot mass temperature. We focused on presenting an analytical solution to determine the evolution of temperature in the ingots’mass and comparing it with the data resulted from experiments. The proposed analytical procedure successfully substitutes for hard-to-perform experiments, in conditions of the current practice. The usage of the proposed mathematical technique also assures the shortage of the total heat duration with economic effects generated by the reduction of fuel quantity and by the increase of productivity of the deep furnaces. "
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