Abstract
A review of main approaches to the mathematical modeling of heat and mass transfer in the process of drying of capillary-porous and disperse materials is presented. The peculiarities of the models construction from the point of view of the mechanics of a continuous medium, the theory of mixtures, statistical approaches and with taking into account the fractal structure are considered, which allows one to expand the many implementations of models, to take into account the anisotropy of thermo-mechanical characteristics, elastic and visco-elastic properties, etc.