Effects of Local Nonequilibrium in Rapid Eutectic Solidification—Part 2: Analysis of Effects and Comparison to Experiment

Abstract

The developed model of diffusion-limited and diffusionless solidification of a eutectic alloy describes the relation “undercooling (ΔT)-velocity (V)-interlamellar spacing (λ)” for two cases. Namely, when the solidification front velocity V is smaller than the solute diffusion speed in bulk liquid VD, V < VD, the model predicts a regime of eutectic solidification similarly to known classical models. If the solidification front velocity V is higher than the diffusion speed, V > VD, the solidification is mainly controlled by kinetic and thermal undercoolings. New expressions for the solute distribution coefficient and slope of the liquidus lines are supplied. The influence of the model parameters on the growth kinetics during eutectic solidification is discussed. Model predictions are compared with experimental data for the solidification of an Fe–B alloy with eutectic composition. Computational results show that the model agrees well with experimental data especially for low and high undercoolings, extending the undercooling range that can be covered by sharp interface modeling. © 2021 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd.