Optimization of foamed glass expansion process parameters based on a deterministic model of gas pore growth kinetics taking into account multi-factor dependencies

The paper presents a model whose implementation enables the prediction of the growth dynamics of spherical gas cavities (pores/bubbles) during the foamed glass synthesis process. The model formalizes the interrelationship between the physicochemical properties of the glass melt, exogenous parameters of the technological process, endogenous factors of the raw material mixture, and their combined impact on bubble growth kinetics. The core of the mathematical model is a finite-difference scheme that performs numerical integration of a system of partial differential equations describing the spatiotemporal evolution of the “bubble-melt” system. The developed simulation model serves as an effective tool for conducting computational experiments and identifying optimal pathways for improving the foaming process of this construction material.