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Modelling of Stress Into Humidified Porous Layer Under Influence of Microwave Irradiation Part II the General Model Equations Cover

Modelling of Stress Into Humidified Porous Layer Under Influence of Microwave Irradiation Part II the General Model Equations

Open Access
|Sep 2025

Abstract

In this part of paper are examined interrelated processes of heat and mass transfer, which take into account the nature of interphase interaction in a moistened porous media. A closed system of balance diffusion equations for the liquid phase and components of the gas mixture of water vapour and dry air is reviewed. The energy or heat balance equation, which contains the intensity of sources of evaporation or condensation during the phase transformation of liquid into water vapour, is analyzed. The phenomena of dielectric relaxation into a heterogeneous porous layer under influence of symmetric electromagnetic field of microwave frequency is modelled by an isotropic (non-magnetic) dielectric with weak or insignificant conductivity and strongly depends from pore saturation by liquid .With the help of the spatial averaging method, as it was described in the previous part of paper, taking into account the interphase interaction the equations for mechanical balance of are proposed, in which the exchange integrals of the moment of impulse and mechanical forces are applied. The macroscopic equations of mechanical balance into the solid and liquid phases are proposed, from where the analytical expressions for an effective, thermal and moisture stresses in the porous wetted layer are obtained using the accepted approximations and taking into account the known relations for stresses in the solid and liquid phases.

Language: English
Page range: 21 - 29
Published on: Sep 1, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Volodymyr Yuzevych, Taras Holubets, published by Technical University of Civil Engineering of Bucharest
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.