Rapid eutectic growth: from rod growth to diffusionless solidification

Author:

Galenko Peter K.12ORCID,Xu Junfeng13ORCID

Affiliation:

1. Otto Schott Institute of Materials Research, Friedrich-Schiller-Universität Jena, 07743, Germany

2. Laboratory of Multi-scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, 620000 Ekaterinburg, Russia

3. School of Materials and Chemical Engineering, Xi'an Technological University, 710021, People's Republic of China

Abstract

Numerous experimental data on the rapid solidification of eutectic systems exhibit the formation of metastable solid phases with the initial (nominal) chemical composition. This fact is explained by the suppression of eutectic decomposition due to diffusionless (chemically partitionless) solidification beginning at a high but finite growth velocity of crystals. In the present work, a model is suggested for the diffusionless growth to analyse the atomic diffusion in the rod eutectic couples growing into supercooled liquid. A simplified calculating method for the equation related to the Bessel function in the solution of the growth of rod eutectics is obtained. This method can also be used in the calculation of other rod eutectic growth models. This article is part of the theme issue ‘Transport phenomena in complex systems (part 2)’.

Funder

Science and Technology Program of Shaanxi Province

Foundation of Shaanxi Provincial Department of Education

German Space Center Space Management Foundation

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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