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Dissolution kinetics of particulate assemblages in channels

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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.

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Authors and Affiliations

  1. 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

    Dmitri V. Alexandrov, Sergei P. Okhezin & Alexander A. Ivanov

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  1. Dmitri V. Alexandrov
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  2. Sergei P. Okhezin
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  3. Alexander A. Ivanov
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Correspondence to Dmitri V. Alexandrov.

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Alexandrov, D.V., Okhezin, S.P. & Ivanov, A.A. Dissolution kinetics of particulate assemblages in channels. Eur. Phys. J. Spec. Top. 229, 3021–3032 (2020). https://doi.org/10.1140/epjst/e2020-000032-3

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