Abstract
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.
Highlights
The process of growth of a new phase in metastable systems can be divided into three stages: nucleation, growth of critical nuclei and relaxation of a new phase to equilibrium
The removal of particles can be realized both as a result of processes of precipitation of large particles due to sedimentation, fragmentation and sedimentation of large volumes of the new phase, and due to artificial deposition, for example, during centrifugation
The present paper takes into account random processes in the Fokker-Planck equation for the particle-radius distribution function
Summary
The process of growth of a new phase in metastable systems can be divided into three stages: nucleation, growth of critical nuclei and relaxation of a new phase to equilibrium. The process of formation and growth of particles of a new phase under stationary conditions is considered. Such conditions can be ensured when the particles of the solid phase are continuously removed from the liquid and the supersaturation (supercooling) is artificially maintained.
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