Journal of Theoretical
and Applied Mechanics

44, 2, pp. 367-379, Warsaw 2006

Simplified models of macrosegregation

Bohdan Mochnacki, Józef S. Suchy
The macrosegregation process takes place during typical solidification of alloys. Fractions of alloy components in a liquid and solid sub-domains are time-dependent and determined by the course of border lines on the equilibrium diagram. From the mathematical point of view, the process is described by a system of partial differential equations (diffusion equations) and boundary-initial conditions. The process is coupled with the solidification one. In this paper, simplified models of macrosegregation are discussed. The volumetric solidification and the 'sharp' solid-liquid interface are considered. Examples of computations are also shown. It seems that for practical applications, the methods proposed are sufficiently exact. Additionally, they are very simple for numerical realization.
Keywords: macrosegregation; solidification; numerical simulation