A multidimensional mathematical model of simultaneous heat and moisture transfer processes in inhomogeneous porous bodies is proposed, 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 has been created. Based on the developed numerical algorithm the software was created for studying and analysing the processes of heat and moisture transfer during the storage and drying of raw cotton in open areas which makes it possible to identify and forecast changes in temperature and humidity at arbitrary points of cotton.
| Mualliflar | Ravshanov, N., Shadmanov, I., Равшанов, Н., Шадманов, И. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashr sanasi | 2025-01-04 |
| Son | 5 |
| Betlar | 5-17 |
| Til | Ingliz |
mathematical model, finite-difference scheme, heat transfer, moisture transfer, raw cotton, математическая модель, конечно-разностная схема, теплообмен, влагоперенос, хлопок-сырец
A numerical study of the non-stationary technological process of filtering lowconcentration solutions through a porous medium, proceeding in accordance with Darcy’s law taking into account the phenomena of colmatation…
The nonlinear viscoelastic vibration protection system is considered, which consists of a vibration protection object installed on a platform, which, in turn, is installed on another platform, the lower platform is…
In this work, a mathematical model of the thermo-electro-magnetic-elastic deformation process of thin plates with a complex shape was developed and calculation experiments were carried out using the…
The approximate solution of linear Fredholm integral equations of the second kind is one of the pressing problems in the field of computational mathematics today. Most researchers offer various approximate methods for…
Using the Duhamel-Neumann relationship and the equations of motion, the Saint-Venant compatibility conditions, are written as a system of six dynamic equations with respect to strains. It is shown that, unlike the…
This paper investigates the construction of an optimal quadrature formula for Fourier integrals of ????(????) function using the method of ????-functions. The function ????(????) belongs to the Hilbert space, which…
To solve elliptic equations, iterative methods are mainly used, the number of iterations in which is often very large. For this reason, it is of interest to develop high-precision direct oriented methods for solving…
In the present article, the problem of constructing the optimal quadrature formula in the sense of Sard is discussed for numerical integration of the weighted integrals in the Hilbert space of real-valued functions…
This paper investigates the existence and conditional stability of solutions for a initialboundary value problem related to a third-order mixed-type Sobolev equation. These types of problems arrays in various fields…
One of the classical problems in computational mathematics is to construct an interpolation formulas from a countable set of data. This paper demonstrates the problem of construction of optimal interpolation formulas…