MATHEMATICAL MODELING AS A METHOD OF THEORETICAL RESEARCH OF THE TECHNOLOGICAL PROCESS OF CONCRETE STEAMING IN AUTOCLAVE INSTALLATIONS
DOI:
https://doi.org/10.31649/2311-1429-2025-1-51-55Keywords:
mathematical modeling, heat and mass transfer, autoclave installation, concrete products, cement hydration, heat transfer, mass exchange.Abstract
The article examines mathematical modeling as an effective tool for theoretical research of heat and mass transfer processes in autoclave
treatment of concrete products. The aim of the study is to construct a mathematical model that describes the regularities of heat and moisture
exchange and cement hydration under steaming conditions, considering the structural features of the autoclave and the thermophysical
properties of concrete products. To achieve this goal, methods of mathematical physics are applied, particularly differential heat conduction
equations with appropriate initial and boundary conditions.
The study formulates key assumptions to simplify the process analysis: one-dimensional heat propagation, negligible influence of
condensate film and reinforcement, and constant volume of concrete products. The thermal nature of the processes occurring during steaming
is analyzed, and heat flux dependencies for the upper and lower surfaces of the product are established. The effect of heat release due to the
exothermic cement hydration reaction is taken into account, as it significantly impacts concrete structure formation and strength development.
Special attention is given to the mathematical modeling of cement hydration, describing the transition of water between active and passive
states in a closed system. Substance transfer mechanisms (diffusion and convection) are considered in relation to the kinetics of chemical
interactions at various hydration stages. As a result, it is found that heat transfer and mass transfer coefficients are critical for efficient
autoclave operation, and the proposed model enables optimization of steaming parameters at the design stage.
The findings can be applied to develop a comprehensive mathematical model of the material and energy balance in the autoclave,
facilitating the implementation of automated control systems for the technological process, aimed at improving energy efficiency and the
quality of the final product.
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