Two-step nucleation and growth of crystals in a metastable solution with mass exchange with the environment

被引：2

作者：

Makoveeva, Eugenya V. ^{[1
]}

Glebova, Alexandra E. ^{[1
]}

Koroznikova, Irina E. ^{[1
]}

Alexandrov, Dmitri V. ^{[1
]}

机构：

[1] Ural Fed Univ, Dept Theoret & Math Phys, Lab Multiscale Math Modeling, Lab Stochast Transport Nanoparticles Living Syst, Lenin Ave 51, Ekaterinburg 620000, Russia

来源：

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2024年 / 233卷 / 23-24期

基金：

俄罗斯科学基金会;

关键词：

BULK CONTINUOUS CRYSTALLIZATION; NONLINEAR DYNAMICS; UNSTEADY PROCESSES; PHASE-TRANSFORMATIONS; INTERMEDIATE STAGE; SPHERICAL CRYSTALS; BINARY MELT; SOLIDIFICATION; INSTABILITY; ASSEMBLAGES;

D O I：

10.1140/epjs/s11734-024-01354-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This study is concerned with the influence of mass exchange with the environment on the two-step nucleation and growth of crystals in a metastable solution. The mass exchange processes include two mechanisms of product crystals withdrawal from a saturated solution and impurity inflow to the liquid to maintain its saturation. The integro-differential model of kinetic and balance equations includes the growth velocity of spherical crystals for the two-step nucleation mechanism as well as initial and boundary conditions. We derived the exact analytical solutions in the case of steady-state crystallization mode. In the case of unsteady crystallization, this non-linear model is solved by means of a combined use of the Laplace transform and saddle-point methods. Namely, the liquid supersaturation, crystallization time and particle-size distribution are obtained in a parametric form with the maximum size of spherical particles being the decision variable. The analytical theory under consideration is in agreement with the experimental data.

引用

页码：3259 / 3274

页数：16

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