Galenko Peter K, Xu Junfeng
Otto Schott Institute of Materials Research, Friedrich-Schiller-Universität Jena, 07743, Germany.
Laboratory of Multi-scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, 620000 Ekaterinburg, Russia.
Philos Trans A Math Phys Eng Sci. 2022 Feb 21;380(2217):20200305. doi: 10.1098/rsta.2020.0305. Epub 2022 Jan 3.
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)'.
大量关于共晶体系快速凝固的实验数据表明,会形成具有初始(标称)化学成分的亚稳固相。这一事实可通过在晶体高但有限的生长速度下开始的无扩散(化学无分配)凝固抑制共晶分解来解释。在本工作中,提出了一个无扩散生长模型,以分析生长到过冷液体中的棒状共晶偶中的原子扩散。得到了一种简化的计算方法,用于求解棒状共晶生长方程中与贝塞尔函数相关的方程。该方法也可用于其他棒状共晶生长模型的计算。本文是主题为“复杂系统中的输运现象(第2部分)”的一部分。