考虑Meirs动力学的晶体非线性生长速率的数学建模

PHYSICS, TECHNOLOGIES AND INNOVATION (PTI-2019): Proceedings of the VI International Young Researchers’ Conference Pub Date : 2019-12-06 DOI:10.1063/1.5134287

E. Makoveeva

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引用次数: 1

摘要

本文用Meirs成核动力学研究了过冷单组分熔体中球形晶体的非线性生长过程。在考虑晶体生长速率的幂相关律的情况下，求解了平衡方程和Fokker-Planck方程。结果表明，由于固相颗粒的生长所释放的潜热，熔体过冷是一个随时间递减的函数。本文用Meirs成核动力学研究了过冷单组分熔体中球形晶体的非线性生长过程。在考虑晶体生长速率的幂相关律的情况下，求解了平衡方程和Fokker-Planck方程。结果表明，由于固相颗粒的生长所释放的潜热，熔体过冷是一个随时间递减的函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Mathematical modeling of nonlinear growth rates of crystals with allowance for Meirs kinetics

In this paper, we study the process of nonlinear growth of spherical crystals in supercooled single-component melts with the Meirs nucleation kinetics. The balance and Fokker-Planck equations are solved with allowance for the power-dependent law for the crystal growth rate. It is shown that the melt supercooling is a decreasing function of time due to the latent heat release by the growing solid phase particles.In this paper, we study the process of nonlinear growth of spherical crystals in supercooled single-component melts with the Meirs nucleation kinetics. The balance and Fokker-Planck equations are solved with allowance for the power-dependent law for the crystal growth rate. It is shown that the melt supercooling is a decreasing function of time due to the latent heat release by the growing solid phase particles.

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PHYSICS, TECHNOLOGIES AND INNOVATION (PTI-2019): Proceedings of the VI International Young Researchers’ Conference

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