Mathematical modeling of the stationary nucleation and crystallization process in supersaturated systems with a crystallizer

International Conference "Structural and Phase Transformations in Materials: Theory, Computer Modelling and Experiment"

材料科学;计算机科学

Makoveeva, E.V.^1 ; Malygin, A.P.^1 ; Alexandrov, D.V.^1

Ural Federal University, Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ekaterinburg

620000, Russia^1

关键词: Crystallization process;    Different boundary condition;    Kinetic equations;    Particle radii;    Second order kinetics;    Solid particles;    Steady state;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/192/1/012034/pdf
DOI  :  10.1088/1757-899X/192/1/012034

来源: IOP

【 摘 要 】

Motivated by important industrial applications we consider the growth prosess of solid particles in a supersaturated (supercooled) system with allowance for a crystallizer. The particle-radius distribution function satisfies the second order kinetic equation supplimented by different boundary conditions. An exact steady-state analytical solution is found. We show that two different types of analytical solutions for the kinetic equation exist.