A three-dimensional mathematical model and numerical algorithm for the process of heat-moisture transfer are considered in the article, taking into account such factors as heat dissipation and moisture release in a natural product, the effect of changes in temperature and humidity of the environment on storage and drying of porous agricultural products. The developed model and numerical algorithm make it possible to predict the changes in temperature and moisture content at arbitrary points of the porous body, and serve to prevent the loss of quality and spontaneous combustion of materials under solar radiation.

The article developed a multidimensional mathematical model of joint heat and moisture transfer processes in inhomogeneous porous bodies, considering internal heat and moisture release, heat, and moisture exchange with the environment. Based on the usage of an implicit finite-difference scheme with the second order of precision in time and space variables, an effective numerical solution for resolving issues with heat and moisture transmission has been created. Software was created for studying the processes of heat and moisture transfer during the storage and drying of raw cotton based on the developed numerical algorithm, making it possible to identify and forecast changes in temperature and humidity at arbitrary points of raw cotton with various sizes.

The modelling of heat and moisture transfer during the storage of grain products, monitoring, and forecast of temperature and moisture content are discussed in The modelling of heat and moisture transfer during the storage of grain products, monitoring, and forecast of temperature and moisture content are discussed in

Developed a two-dimensional mathematical model of simultaneous heat and moisture transfer processes during the natural storage and drying of heterogeneous agricultural products in open areas. The mathematical model includes time-space variability of temperature and humidity, internal heat and moisture release, heat and moisture exchange with the environment, and also solar radiation. Based on an implicit finitedifference scheme with the second order in time and space variables, we developed an effective numerical solution for solving the problem. For studying and predicting the processes of heat and moisture transfer, software was created and experiments were done on raw cotton, making it possible to identify temperature and humidity changes at arbitrary points on the highhumidity raw cotton. Keywords: mathematical model, moisture transfer, heat transfer, heterogeneous porous media, finite-difference scheme, cotton

В статье разработан численный алгоритм решения многомерной математической модели совместных процессов тепло- и влагопереноса в неоднородных пористых телах, имеющих форму прямоугольных параллелепипедов. Модель учитывает внутреннее тепло- и влаговыделение, а также тепло- и влагообмен через поверхности пористого тела с окружающей средой. Разработанный численный алгоритм имеет второй порядок точности по временным и пространственным переменным для решения задач совместного тепло- и влагопереноса при хранении и сушке неоднородных пористых тел, которые используются для исследований, прогнозирования и принятия управленческих решений, что является актуальной проблемой в процессах хранения и переработки сельскохозяйственной продукции и сырья. Получены пространственно-временные зависимости распределения температуры, влажности и давления внутри неоднородного пористого тела.