Evaluation of the temperature of a massive body on measurable values of the heat exchange process

The solution of the problem of estimating the temperature field of the billet from the measured (observed) values of the heating process to the surface temperatures and the temperatures of the media washing these surfaces is considered. A necessary condition for the solvability of this problem is the presence of a non-stationary heat exchange model tuned to the "real process". Specific algorithms for solving the problem are given, and the influence of temperature measurement errors on the accuracy of the estimate is determined. Thus, it is shown that the temperature field of the billet can be determined quite accurately from the results of the current measurements completely independently of the prehistory of the heating process. Consequently, continuous monitoring of the temperature during the heating process from its very beginning is not in principle absolutely necessary in order to be able to determine the temperature field of the slab at some crucial time. The results of the work can be used in the construction of automated control systems for methodical heating furnaces of rolling production.