Constructive factors optimization of the heat exchange model in the cooling chamber

The most common method for the production of aluminum products is hot pressing of semi-finished products - aluminum ingots obtained by continuous casting into the mold. This method leads to the formation of a heterogeneous structure. To eliminate this problem, heat treatment is applied, one of which is homogenizing annealing followed by cooling in the chamber. For the study of heat transfer between aluminum ingots and cooling coolant in the chamber, a mathematical model was developed. It showed that the cooling time of ingots in the chamber depends on structural and operational factors. This paper is devoted to the optimization of the design factors of the mathematical model of heat transfer in the cooling chamber of aluminum ingots. The issues of optimization criteria are considered, the objective function is defined with restrictions on the set of feasible solutions of the function.