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Modeling the possibility of formation of stable phase composite material «water glass-graphite microparticles»
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Annotation
The existing experience of development of physical and chemical bases of formation of composite materials is considered. The analysis of solutions known from the scientific literature is carried out. The mathematical modeling of formation of a stable phase of a composite material on the example of a water glass composition with a graphite filler of micron sizes is given. The methods of mathematical modeling of thermodynamic systems and methods of mathematical statistics are used to describe the processes under consideration. For the analytical solution, differential and integral equations are used, taking into account stoichiometric coefficients. Methods of computational mathematics and applied programming were used for numerical calculations and software implementation. The calculation of Gibbs energy of chemical binding reaction of the components of the water glass composition is given. As a criterion for the model, the concentration of phases of all components of the composite material is taken. The mathematical model allows to predict the concentration of phases and the structure of the composite material, based on the forecast to calculate the values of quantities such as specific heat, enthalpy, entropy, Gibbs energy and show the dependence of the physical and thermodynamic parameters of the experimental samples on temperature, and thereby determine the possibility of formation of a stable phase of the composition. To estimate the accuracy of the model, the comparison measures were used: the mean of absolute deviations and the average of relative errors in percent. The obtained estimates give grounds to consider the model suitable for further calculations. Composite material with design characteristics can be used in equipment used in emergency situations, as well as as a protective coating for enclosing and building structures in order to increase fire-resistance and reduce fire danger.
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