Simulation of heat and mass transfer in domain of casting made from binary alloy

In the paper the mathematical model, numerical algorithm and example of cylindrical casting solidification are presented. In particular the casting made from Cu-Zn alloy is considered. It is assumed that the temperature corresponding to the beginning of solidification is time-dependent and it is a function of temporary alloy component concentration. The course of macrosegregation has been modelled using the mass balances in the set of control volumes resulting from a domain discretization. The balances have been constructed in different ways, in particular under the assumption of instant equalization of alloy chemical constitution (a lever arm rule), next the Scheil model (e.g. [1]) has been used and finally the broken line model [2] has been taken into account. On a stage of numerical algorithm construction the boundary element method has been used in the variant called BEM using discretization in time [3, 4, 5] supplemented by the alternating phase truncation procedure [6, 7].