quasi-homogeneous approximation

In the presented study, the mathematical model for drying the porous timber beam of a circular cross-section under the action of a convective-heat nonstationary flow of the drying agent is constructed.  When solving the problem, a capillary-porous structure of the beam is described in terms of a quasi-homogeneous medium with effective coefficients, which are chosen so that the solution in a homogeneous medium coincides with the solution in the porous medium.  The influence of the porous structure is taken into account by introducing into the Stefan–Maxwell equation the effective binary inte

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.