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  4. Solving Stefan's linear problem for drying cylindrical timber under quasi-averaged formulation

Solving Stefan's linear problem for drying cylindrical timber under quasi-averaged formulation

MMC.
2021;
Volume 8, Number 2
: pp. 150–156
https://doi.org/10.23939/mmc2021.02.150
Received: December 16, 2020
Revised: March 19, 2021
Accepted: March 26, 2021

Mathematical Modeling and Computing, Vol. 8, No. 2, pp. 150–156 (2021)

Authors:
  1. B. I. Gayvas
  2. V. A. Dmytruk
  3. M. M. Semerak
  4. Tetiana Rymar
1
Centre of Mathematical Modelling, IAPMM of National Academy of Sciences of Ukraine
2
Lviv Polytechnic National University; Centre of Mathematical Modelling, IAPMM of Ukrainian National Academy of Sciences
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University

The plain problem of drying of a cylindrical timber beam in average statement is considered.  The thermal diffusivity coefficients are expressed in terms of the porosity of the timber, the density of the components of vapour, air, and timber skeleton.  The problem of mutual phase distribution during drying of timber has been solved using the energy balance equation.  The indicators of the drying process of the material depend on the correct choice and observance of the parameters of the drying medium.

porous timber
quasi-homogeneous approximation
integral transformation
phase transition
cylindrical function
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