Goal of this elaboration is to investigate the mathematical model of the inverse problem of binary alloy solidification within the casting mould, with the material shrinkage and the macrosegregation phenomena included simultaneously. Major result of this paper is the solution of the inverse problem consisting in reconstruction of the following elements: the thermal resistance of the air gap created between the cast and the mould in the course of solidification process and the heat transfer coefficient on the boundary of heat exchange between the mould and environment. The additional information, necessary to solve the inverse task, is delivered by the temperature measurements read in the control point located in the centre of the mould. The theoretical discussion is supported by the numerical examples executed for various sets of input data.

本次阐述的目的是研究同时包含材料收缩和宏观偏析现象的铸模内二元合金凝固逆问题的数学模型。本文的主要成果是求解包含以下要素重构的逆问题：凝固过程中铸件与结晶器之间产生的气隙的热阻和热边界上的传热系数模具与环境之间的交换。解决逆向任务所需的附加信息由在位于模具中心的控制点中读取的温度测量值提供。为各种输入数据集执行的数值示例支持理论讨论。