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,
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Accepted: 9 September 2020
Published online: 19 November 2020
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.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020