Quasi-averaged formulation of Stefan's linear problem in drying of cylindrical beam

Fìz.-mat. model. ìnf. tehnol. 2021, 31:13-21

Abstract

In the process of drying of porous materials there is a moving surface separating the dried and wet areas in the body. This surface is a phase transition, which significantly depends on the properties of the material and the temperature, which is due to the external influence of the drying agent and is a function of coordinates and time, and the movement of boundaries is a consequence of phase transitions. The paper presents the properties of the material, namely: heat capacity, density, thermal conductivity coefficients to be the functions of the porosity of the material, densities and heat capacities of body components.

References

1. Ugolev, B. N., Skuratov, N. V. (1992). Modelirovanie protsessa sushki drevesinyi. M.: Vyisshaya MLTI, 247, 133-141.
2. Shubin, G. S. (1990). Sushka i teplovaya obrabotka drevesinyi. M.: Lesnaya promyishlennost.
3. Tihonov, A. N., Samarskiy, A. A. (1972). Uravneniya matematicheskoy fiziki. M.: Nauka.
4. Fedotkin, I. M., Burlyay, I. Yu., Ryumshin, N. A. (2002). Matematicheskoe modelirovanie tehnologicheskih protsessov. Kiev: Tehnika.
5. Karslou, G., Eger, D. (1963). Teploprovodnost tverdyih tel. M.: Gos.izdat. Fiz.mat. lit.
6. Leniuk, M. P., Mikhalevska, H. I. (2002). Intehralni peretvorennia typu Kontorovycha-Liebiedieva. Chernivtsi: Prut.