Open AccessMathematical Model of Rheological Behavior of Wood Plate Taking Into Account the Zone of Evaporation of Moisture
Author(s) -
Yaroslav Sokolovskyy,
Iryna Boretska,
Igor Kroshnyy,
Svyatoslav Yatsyshyn,
O. M. Storozhuk
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1016/1/012008
Subject(s) - porous medium , rheology , evaporation , mechanics , viscoelasticity , moisture , heat transfer , boundary value problem , capillary action , phase transition , realization (probability) , materials science , phase field models , fractal , thermodynamics , porosity , phase (matter) , mathematics , physics , mathematical analysis , composite material , statistics , quantum mechanics
The subject of this paper is a mathematical model of heat-transfer in the process which takes place in capillary-porous materials during drying. The moving boundaries of phase transitions for media are also considering. The analytical-numerical method was developed for mathematical model. The difference schemes were constructed with consideration for the boundaries of the evaporation zone of heat exchange with the environment in the presence of a phase transition in the conditions. The numerical realization and software were developed for solving the Stefan problem. The fractal structures of the medium were taking into account for synthesization of mathematical models of viscoelastic deformation. Functional dependences of the temperature field and the motion of the phase transition boundary in media, depending on the value of fractional parameters, were received for modelling different technological processes of drying capillary-porous materials.