Mathematical modeling of moving boundaries of phase transition in the process of drying anisotropic plate
Journal Title: International Journal of engineering Research and Applications - Year 2018, Vol 8, Issue 12
Abstract
https://journals.indexcopernicus.com/representative/article/create?issueId=170869A two-dimensional mathematical model of the process of convection drying of anisotropic porous materials has been onstructed, 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 nonstationary 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. Integrals on the boundary of the phase transition must be calculated numerically. All other values included are calculated from the data of physical and thermal characteristics of a particular material. 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.
Authors and Affiliations
Yaroslav Sokolovskyy, Iryna Boretska, Bogdana Gayvas
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