Abstract
Casting in a cooled mold is the main way to produce aluminum semi-finished products - round ingots. Continuous casting leads to the formation of a heterogeneous structure. Its elimination occurs during heat treatment - homogenization annealing followed by cooling in the chamber. To study the heat exchange between aluminum ingots and cooling coolant in the chamber, a mathematical model was developed. She 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 questions of optimization criteria are considered, the objective function with restrictions on the set of feasible solutions of the function is defined.
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