Abstract
A mathematical model, numerical algorithm, solution, and results of the computational experiment on a computer are developed to predict the process of heat and moisture transfer in porous media, taking into account such factors as the internal heat and moisture release of a porous natural product on the example of raw cotton and its products of hulling, seeds of various crops. It also considers the effect of temperature and moisture content changes in the environment on the storage and drying of porous materials. In this study, the developed mathematical support of the object under research makes it possible to predict the change in temperature and moisture content at arbitrary points of the porous body and serves to prevent the loss of quality and spontaneous combustion of materials under solar radiation and to analyze and make managerial decisions. Based on the method of coordinate-wise splitting, a numerical algorithm for calculating three-dimensional heat and moisture transfer problems in areas of the parallelepiped type is presented. An implicit second-order difference scheme for calculating the required functions is presented. Based on the numerical calculations performed, it was established that moisture and heat transfer and their exchange with the environment occurs in the upper layers of the cotton pile; in the inner layers, there is an increase in temperature and moisture due to the respiration of raw cotton and its seeds, which depends on the degree of moisture of the raw cotton and their products of hulling.
Highlights
The theory of energy and moisture transfer in a capillary-porous body is of great importance in the technological processes of the food, chemical, construction, and light industries
The study in [8] gives a numerical scheme for the coupled solution of the Lykov and Maxwell equations of heat and moisture propagation. It is built based on two algorithms: the problem of calculating the density field of electromagnetic losses, reflection and transmission coefficients is solved for a given distribution of the dielectric constant; the problem of calculating the fields of temperature and moisture content is solved for a given density field of electromagnetic losses
A numerical experiment and analysis of its results are conducted based on the developed three-dimensional mathematical model of the process of heat and moisture transfer during storage and drying of porous bodies
Summary
The theory of energy and moisture transfer in a capillary-porous body is of great importance in the technological processes of the food, chemical, construction, and light industries. Lykov A.V. has stated that under intense heating of a capillary porous body, the drying kinetics can depend on the gradient of the moisture transfer potential and on the temperature gradient and the internal pressure gradient. The study in [8] gives a numerical scheme for the coupled solution of the Lykov and Maxwell equations of heat and moisture propagation It is built based on two algorithms: the problem of calculating the density field of electromagnetic losses, reflection and transmission coefficients is solved for a given distribution of the dielectric constant; the problem of calculating the fields of temperature and moisture content is solved for a given density field of electromagnetic losses. That's why Lykov's model is taken as a basic model for the numerical simulation of the process of heat and moisture transfer in porous media
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