Convective drying of wood of cylindrical shape
Keywords:
Mathematical model, initial boundary value problem, heat and mass transfer, convection, diffusion, Stefan’s problem, Kontorovich-Lebedev transform, Pochhammer’s polynomials, Green’s function, Steklov’s theorem, Poiseuille’s equation, capillary-porous material, phase transition, cylindrical shapeSynopsis
In this work, the mathematical nonstationary and quasi-stationary models of the heat and moisture transfer in convective drying of a long wooden beam with a circular cross-section of the radius R are constructed, taking into account the moving boundary of the moisture evaporation zone under the action of the convective-thermal unsteady flow of the drying agent, as well as the calculation schemes for the implementation of these models into practice. Numerical experiments are carried out. The regularities of distribution of temperature and moisture in a capillary-porous body of a cylindrical shape at an arbitrary moment of drying depending on the coordinate of the phase transition, thermophysical characteristics of the material, and parameters of the drying agent have been established.
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