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Multiscale modelling of equiaxed alloy solidification
A mesoscopic simulation model is presented to predict the kinetics of equiaxed alloy solidification after nucleation in a supercooled melt. The model is an extension of a previous model for equiaxed solidification of a pure melt, that was successfully applied to simulate the growth kinetics of ultrapure succinonitrile dendrites. The new alloy model uses the analytical expression of the growth kinetics of a single dendrite tip (microscopic scale) in combination with numerical calculation of release of latent heat (mesoscopic scale) and thermal diffusion (macroscopic scale). The new aspect of the model is the comprehensive treatment of the growth kinetics on the different lengthscales by applying the stagnant film approximation of the Ivantsov solution. Doing this, no further assumption about the internal structure of the dendritic grain is needed to close the problem. The model is first applied to the transparent model alloy succinonitrile-acetone (SCN-acetone).