Mathematical modeling of convection drying process of wood taking into account the boundary of phase transitions

: pp. 830–841
Received: March 29, 2021
Revised: October 15, 2021
Accepted: November 09, 2021
Lviv Polytechnic National University
Ukrainian National Forestry University
Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics
Ukrainian National Forestry University
Ukrainian National Forestry University

The article deals with constructing and implementing mathematical models of non-isothermal moisture transfer during drying of anisotropic capillary-porous materials, in particular wood, taking into account the movement of the evaporation zone for non-steady drying schedules, as well as to the development of effective analytical and numerical methods for their implementation.  An analytical-numerical method for the determination of non-isothermal moisture transfer under non-steady schedules of the drying process has been developed, taking into account the dynamics of the phase transition boundary change.  Calculation relationships are established for determining the phase transition temperature taking into account transport gradients and time for which the relative saturation reaches the boundaries of the phase transition.

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Mathematical Modeling and Computing, Vol. 8, No. 4, pp. 830–841 (2021)