On mathematical modelling of heat and moisture distribution in porous multilayer media
2016
Aboltins, A., Latvia Univ. of Agriculture, Jelgava (Latvia) | Kalis, H., University of Latvia, Riga (Latvia) | Kangro, I., Rezekne Academy of Technologies (Latvia)
In the paper, the problem of diffusion of one substance through the pores of a porous multi layered material which may absorb and immobilize some of the diffusing substances with evolution or absorption of heat is studied. As an example we considered a round wood-block with two layers in the radial direction. We have two processes, the transfer of moisture and the transfer of heat. We can derive the system of two partial differential equations (PDEs), one expressing the rate of change of the concentration of water vapour in the air spaces and the other - the rate of change of temperature in every layer. The approximation of the corresponding initial boundary value problem of the system of PDEs is based on the conservative averaging method. This procedure allows reducing the 3-D axis-symmetrical transfer problem described by a system of PDEs to the initial value problem for a system of ordinary differential equations (ODEs) of the first order.
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