DISSOLUTION OF A POLYDISPERSE SYSTEM OF PARTICLES IN A NO-FLOW APPARATUS

Abstract

The processes of dissolution and crystallization are mass transfer phenomena that have a number of complex physicochemical features, and which are very difficult to theoretically describe in various mathematical models. During the dissolution process, the crystals may undergo various changes, such as grinding, combining and crystal growth. As a result of the process of mass dissolution of crystals, different speeds of movement of individual faces can be observed, which can lead to their disappearance. These phenomena are the result of complex dynamics of the dissolution process, which includes inter-actions between solvent molecules and the crystal surface. In this work, the process of mass dissolution was studied using the crystal size distribution density function. The task was set to obtain an analytical solution of the equation. The main object of the study was the diffusion law of movement of the radius of spherical crystals during a periodic process. As part of this study, analytical solutions were obtained for some interesting practical cases related to the process of mass dissolution of spherical crystals and the density function of crystal size distribution. These solutions were described in the article in the form of mathematical formulas and supplemented with graphical data characterizing the main parameters of the process. The use of these analytical solutions can be useful for a more accurate description and improvement of the mass dissolution process itself. Optimizing this process will improve its efficiency, provide more precise control and efficient use of reagents.