An exact analytical solution to unsteady population balance equation with particles coagulation

被引：6
|
作者：
Makoveeva, Eugenya V. [1 ]
Alexandrov, Dmitri V. [1 ]
机构：
[1] Ural Fed Univ, Dept Theoret & Math Phys, Lab Stochast Transport Nanoparticles Living Syst, Lab Multiscale Math Modeling, Lenin Ave 51, Ekaterinburg 620000, Russia
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 131卷
基金：
俄罗斯科学基金会;
关键词：
Phase transition; Smoluchowski equation; Saturated solution; Coagulation; Ostwald ripening; Metastable liquid; Particle-volume distribution; Supersaturation removal; INTERMEDIATE STAGE; SIZE DISTRIBUTION; CRYSTAL-GROWTH; GAMMA; SOLIDIFICATION; AGGREGATION; COALESCENCE; EVOLUTION; DYNAMICS; KINETICS;
D O I：
10.1016/j.cnsns.2024.107879
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the final step of a phase transition process in saturated solutions when particles coalescence (Ostwald ripening) and coagulation are possible to happen concurrently. A parametric solution to unsteady Smoluchowski integro-differential equation with constant coagulation kernel is found taking the diffusion mechanism of particles in the space of their volumes into account. The particle-size distribution is given by an exponentially decreasing bell-shaped function describing the experimental data at long times. The theory is extended to describe the cases of different coagulation mechanisms, hydrodynamic flows and external forces.
引用
收藏
页数：10
相关论文
共 50 条
12345