Dmytruk A. Mathematical modeling of drying processes in multicomponent capillary-porous bodies considering phase changes

Dmytruk A . A. Mathematical modeling of drying processes in multicomponent capillary-porous bodies considering phase changes. – Qualification scientific work on the rights of a manuscript. Dissertation for the degree of Doctor of Philosophy in specialty 113 Applied Mathematics (field of knowledge 11 Mathematics and Statistics). – Lviv Polytechnic National University, Lviv, 2024. The dissertation is devoted to the mathematical modeling of the drying processes of multicomponent capillary-porous bodies, taking into account phase changes. Thermodynamically substantiated models of heat and mass transfer and mechanodiffusion have been developed and improved, considering the heterogeneity of particle structures, the influence of phase transitions, and the operating parameters of the drying agent. Analytical and numerical methods have been developed for solving boundary problems of convective drying in a steady-state regime (boundary conditions of the first and third kind) and active hydrodynamic drying in a pulse mode, allowing the determination of temperature, moisture distribution, and stress-strain state of particles at any given moment, depending on their position in the layer and the drying agent parameters. A software package has been developed for numerical analysis of dispersed material drying. The research findings promote sustainability by reducing energy consumption, minimizing environmental impact, and enhancing resource efficiency in industrial drying processes. The results have been implemented in the production of reinforced concrete products and the educational process.