Collect. Czech. Chem. Commun. 1996, 61, 536-563

Certain Problems with the Application of Stochastic Diffusion Processes for the Description of Chemical Engineering Phenomena. Diffusional Change of Solid Particle Size

Vladimír Kudrna and Pavel Hasal

Department of Chemical Engineering, Prague Institute of Chemical Technology, 166 28 Prague 6, Czech Republic


To the description of changes of solid particle size in population, the application was proposed of stochastic differential equations and diffusion equations adequate to them making it possible to express the development of these populations in time. Particular relations were derived for some particle size distributions in flow and batch equipments. It was shown that it is expedient to complement the population balances often used for the description of granular systems by a "diffusion" term making it possible to express the effects of random influences in the growth process and/or particle diminution.

Keywords: Particle size distribution; Population balances; Stochastic differential equations.