A mathematical model of the dendritic solidification of multicomponent
alloys, that includes thermosolutal convection and macrosegregation,
is presented. The model is an extension of one previously developed fo
r binary alloys. Numerical simulations are given for ternary and quate
rnary Ni-base alloys, and the evolution of macrosegregation during sol
idification is studied. The results show that the segregation patterns
vary greatly with cooling conditions, adopting several shapes and lev
els of intensity. Calculations of segregation in rectangular molds and
in molds with smooth and abrupt variations of the cross sections exhi
bit significant differences in the distribution of macrosegregation du
e to the change in geometry. In addition, the segregation patterns are
found to be particularly sensitive to the values of the equilibrium p
artition coefficients of the alloy components.