Abstract
An analytical model is constructed to determine the effect of solute–solute interactions on the growth restriction parameter Q. Relevant to analysing the as cast grain size in alloys inoculated with potent nuclei, the value of Q describes the effect of solute partitioning on the growth rates of solid in the liquid. The model is constructed for highly simplified aluminium based ternary systems with two solutes of identical partitioning behaviour. The regular solution coefficient between the two solutes is varied, and its effect on Q is determined. The sign of the change of Q is dependent on the partition coefficient of the solutes: four distinct regimes are found, for k<½, ½<K<1, 1<k<2, and k>2.
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