Rod eutectic growth in bulk undercooled melts

Abstract

This article proposes an analytical model to understand the rod growth of eutectic in the bulk undercooled melt. Based on the previous derivations of the lamellar eutectic growth models, relaxing the assumptions of small Péclet numbers, the model is derived by considering melt kinetic and thermal undercoolings. The intent of this model is to predict the transitions in eutectic pattern for conditions of the low and high growth velocities. In addition to investigation of the transition between lamellar and rod eutectic patterns, mathematical simplifications of solving Bessel function are presented as well, which is the most important priority to model calculation. © 2021 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd.Deutsche Forschungsgemeinschaft, DFG: GA 1142/11-1; Natural Science Foundation of Shaanxi Provincial Department of Education: 18JS050; Key Science and Technology Program of Shaanxi Province: 2016KJXX-87This work was supported by the Key Science and Technology Program of Shaanxi Province (No. 2016KJXX-87) and the Natural Science Foundation of Shaanxi Provincial Department of Education (No. 18JS050). P. K. G. acknowledges financial support of the German Research Foundation (Deutsche Forschungsgemeinschaft [DFG]) under Project GA 1142/11-1. The authors thank J. T. Cao and A. L. Bao for their help in this work. Open Access funding enabled and organized by Projekt DEAL

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