Multidimensional model of heat-moisture transport in porous media

Abstract

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.

Mathematical modeling of the processes of combined heat and moisture transfer during storage and drying of raw cotton

“…Mikhailov [1], LI.YI and Zhu.Qingyong [2], D.A.Nield and A.Bejan [3] and others. The problems of mathematical modeling of the processes of drying and storage of various materials (including for raw cotton) are considered in the works of N. Ravshanov [4], A.Mamatov, A.Parpiev and A.Kayumov [5], T.J.Afolabi and S.E.Agarry [6], N.Wang and J.G.Brennan [7] et al The Philippe and De Vries model [8], A.V.Lykov [9], and Whitaker [10] are now the most commonly studied models used to describe the processes of heat and moisture transfer in capillary-porous media. These models were created using the concepts of mass and energy conservation, Fourier's law of heat conduction, Fick's law of gas diffusion, and Darcy's law of liquid diffusion.…”

Mathematical modeling and research of heat and moisture transfer processes in porous media

“…Mathematical modeling of heat and mass transfer processes during drying and storage of various products, such as raw cotton, fruit, wood, and others, was conducted in [12]- [20].…”