In this paper there are considered the basic methods of mathematical modeling that are used to describe the processes of convective, convective-thermal and active hydrodynamic drying of dispersed materials, taking into account the structure of individual object of drying. They are described from perspective of continuum mechanics, the theory of mixtures, statistical approaches, which allows taking into account the volume fraction of each phase, the layering of the structure of the object and their changes in the process of phase transitions and chemical transformations.
- Nigmatullin R. I. Fundamentals of mechanics of heterogeneous media. Moscow, Science (1978), (in Russian).
- Hersey J. A., Cook P. C. Homogeneity of pharmaceutical dispersed systems. Journal of Pharmacy and Pharmacology. 26 (2), 126--133 (1974).
- Gamayunov S. N., Misnikov O. S. Shrinkage phenomena during drying of natural organomineral dispersions. J. Eng. Phys. Thermophys. 71 (2), 234--236 (1998).
- Matveenko V. N., Kirsanov E. A. The viscosity and structure of dispersed systems. Moscow University Chemistry Bulletin. 66 (4), 199--228 (2011).
- Xue Y. Q., Zhao M. Z., Lai W. P. Size-dependent phase transition temperatures of dispersed systems. Physica B: Condensed Matter. 408 (1), 134–-139 (2013).
- Mushtaev V. I. The basic theoretical principles of convective drying and the refined method of calculating the drying apparatus. Moscow, MIHM (1971), (in Russian).
- Ribitsch V., Jorde C., Schurz J., Jacobasch H. Measuring the zetapotential of fibers, films and granulates. Dispersed Systems. 54, 49--54 (1988).
- Mushtaev V. I., Ulyanov V. М. Drying of dispersed materials. Moscow, Chemistry (1988), (in Russian).
- Lykov A. V. The theory of drying. Moscow, Energia (1968), (in Russian).
- Sazhin B. S. The fundamentals of the technique of drying. Moscow, Chemistry (1984), (in Russian).
- Lightfoot E. N. Transport phenomena and living systems: Biomedical applications of momentum and mass transfer. New York, John Wiley (1974).
- Tutova E. G., Kuts P. S. Drying of microbiological products. Moscow, Agropromizdat (1987), (in Russian).
- Grinchik N. N. Transport processes in porous media, electrolytes and membranes. Minsk, ITMO named after A. V. Lykov of the AN BSSR (1991), (in Russian).
- Hayvas B. I., Dmytruk V. A., Dmytruk A. A. Drying of grain in active regimes taking into account its stratified structure. Physical-mathematical modeling and information technologies. 23, 29--42 (2016), (in Ukrainian).
- Golik M. G., Delidovich V. N. Scientific fundamentals of grain processing in the stream. Moscow, Kolos (1972), (in Russian).
- Dekhtyar R. A., Sikovskii D. F. Heat transfer in a granular layer and moderate Reynolds numbers. Teplofizika Vysokikh Temperatur. 10 (5), 748--755 (2002).
- Egorov G. A. Thermophysical properties of a grain. Information collection. Scientific and technological achievements and best practices in the field of bakery products. Moscow, TSITEhIkhlebprominform (1996), (in Russian).