Mathematical modeling of the heat-mass-exchange in anisotropic environments taking into account the boundary of phase transition

摘要

A two-dimensional mathematical model of the process of convection drying of anisotropic porous materials has been constructed, taking into account the movement of the boundary of phase transitions. Identified is the influence of the main components and the orientation of the main axes of the heat transfer tensor on the non-stationary temperature fields in the prismatic body. The analytical-numerical method as well as algorithms have been developed for implementation of a nonlinear mathematical model under variable temperature conditions of the environment. The research results can be used to optimize the process of convection drying of moist anisotropic materials, as well as to implement similar mathematical models in biology, medicine, geophysics and ecology.