LAUSR

Abstract In this paper we solve the inverse problem of the binary alloy solidification including two phenomena: macrosegregation and creation of the air gap between the cast and the mold in result of the metal shrinkage during the solidification. Aim of inverse problem is to reconstruct the heat transfer coefficient on the external boundary of the mold separating the cast from the environment, by using the measurements of temperature taken from the sensor located in the middle of the mold. The solidification process is described by using the model of solidification in the temperature interval, the shrinkage of metal is modeled basing on the mass balance equation and the macrosegregation process is approximated with the aid of two models: the Scheil model and the lever arm model - the results received from those two approaches are then compared. For retrieving the sought coefficient, we minimize the proper functional by using the Artificial Bee Colony algorithm.