Mathematical Modeling of Crystal Growth With Allowance for Meirs Kinetics
The process of nucleation and growth of crystals in a metastable medium (supercooled liquid or supersaturated
solution) is studied theoretically in the presence of Meirs kinetics. The removal of crystals and their “diffusion” in the space of
radii are taken into account in the Fokker-Planck equation for the distribution function. The time-dependent external heat (or
mass) flux which controls the level of system metastability is included in the heat (mass) balance equation. A complete
analytical solution of integro-differential model is obtained.
Index Terms— Crystallizer, distribution function, kinetics, nucleation.