Development of a mathematical model for describing the spatial dynamics of temperatures and humidity levels in grain storage facilities
Abstract
This article presents the development of a bi-dimensional mathematical model designed for controlling and predicting thermal and humidity transfer processes during grain storage. The model takes into account the impact of pests on these processes by introducing specific parameters related to their influence. The mathematical model is based on two-dimensional differential equations that describe the dynamics of heat and moisture distribution. An implicit finite difference scheme method is used to solve the model. The article provides a detailed explanation of the theoretical foundations of the model, methods for determining the parameters, and numerical computation algorithms. Furthermore, a series of computational experiments were conducted based on the developed model, and the results were analyzed to confirm the model's consistency with the physical nature of the processes.