Numerical procedure of solving some inverse problem in solidification of the binary alloy

Abstract

The paper presents a solution of an inverse problem consisting in determination of boundary conditions in the process of binary alloy solidification when temperature measurements in selected points of the cast are known. In the investigated model the distribution of temperature is described using the Stefan model with the liquidus temperature varying in dependance on concentration of the alloy component. For description of the concentration we apply the model in which the immediate equalization of chemical composition of the alloy is assumed (lever arm model). Experimental verification of the developed algorithm is also presented.