Abstract
A model of the effective segregation coefficient k eff is obtained by using integral boundary layer analysis. The model provides a simple relation between k eff and the actual physical thickness of the solute layer δ D, the convective velocity in the solute boundary layer V D, the equilibrium segregation coefficient k, the growth rate R and the characteristic lenght of the growth interface L. A good agreement is obtained between the model and the data in the literature (e.g. the data used to fit the BPS model). The model provides a criterion for the maximum convective velocity, allowing diffusion-controlled segregation. The criterion indicates that diffusion-controlled segregation of solvent-solute system with k ≪ 0.1 may not be feasible even in microgravity.
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