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  4. Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

MMC.
2023;
Volume 10, Number 2
: pp. 387–399
https://doi.org/10.23939/mmc2023.02.387
Received: January 12, 2023
Revised: May 02, 2023
Accepted: May 12, 2023

Mathematical Modeling and Computing, Vol. 10, No. 2, pp. 387–399 (2023)

Authors:
  1. B. I. Gayvas
  2. B. M. Markovych
  3. A. A. Dmytruk
  4. M. V. Havran
  5. V. A. Dmytruk
1
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University
5
Lviv Polytechnic National University

The problem of conductive (contact) drying of a capillary-porous body in a steam-air (gas) environment by heat transfer to the material during its contact with the heated surfaces of the material is considered.  A system of significantly nonlinear differential equations of heat and mass transfer to describe such a process is obtained.  To solve the formulated problem of heat and mass transfer (without taking into account deformability), the method of solving nonlinear boundary value problems is applied in the form of an iterative process, at each step of which a linear boundary value problem is solved.  The results of the application of the method are verified based on the popular numerical scheme used.  They agree well.  A numerical experiment is conducted for materials of three types of porosity.  The results are presented graphically and tabularly.  The regularities of contact drying of capillary-porous materials in a steam-air environment are deduced.

contact drying
capillary-porous materia
System of nonlinear differential equations
iterative process
linear boundary value problem
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