Eur. Phys. J. Special Topics 229, 3021–3032 (2020)
https://doi.org/10.1140/epjst/e2020-000032-3

Regular Article

Dissolution kinetics of particulate assemblages in channels

Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Institute of Natural Sciences and Mathematics, Ural Federal University, Lenin Avenue, 51, Ekaterinburg 620000, Russia

^a e-mail: dmitri.alexandrov@urfu.ru

Received: 29 February 2020
Accepted: 9 September 2020
Published online: 19 November 2020

Abstract

The combined process of transport and dissolution of microcrystals in a semi-infinite channel is considered. An exact analytical solution of the Fokker–Planck-type equation for the crystal-radius distribution function is found for the case of constant undersaturation. The flux of crystals at a certain channel cross-section, the concentration distribution of crystals, and their dissolution intensity are determined theoretically. We demonstrate that the Péclet number and the coordinate of channel cross-section where the particles are introduced, substantially influence the distribution function and other key characteristics of the process.