Modeling a rheological anomaly in aqueous aminosilicate solutions
Journal Title: Комп’ютерне моделювання: аналіз, управління, оптимізація - Year 2017, Vol 1, Issue 1
Abstract
A simple mathematical model of interrelated acid-base and polycondesation equilibria in aqueous solutions of aminosilicates (polysilicates of aliphatic amines, amino alcohols and other amino compounds) is proposed. The objective of the work was to describe the effect of a rheological anomaly consisting in a reversible increase in solution viscosity with increasing temperature. The proposed calculation model assumes a direct dependence of the solution viscosity on the polymerization degree of silicate anions, as well as the independence of the dissociation constant of silanols and the polycolucondensation equilibrium constant on the degree of polymerization. Based on the assumptions made, a system of eight linear and nonlinear equations was constructed and solved. The results of calculations performed for concentrated solutions of aminosilicates (methylamine, diethylamine, piperidine and monoethanolamine silicates), as well as sodium silicate, confirm the presence of a positive temperature dependence of the polymerization degree of silicate anions in aminosilicate solutions, in contrast to solutions of silicates of strong bases. Thus, the proposed mathematical model of polymerization-hydrolysis equilibria in aqueous silicate solutions qualitatively explains the existence of the rheological anomaly in aqueous solutions of aminosilicates and its absence in solutions of alkali silicates and silicates of quaternary ammonium bases. In addition, it correctly reproduces displacements of the molecular mass distribution of silicate anions with changes in chemical composition and concentration of solutions.
Authors and Affiliations
Н. И. Малявский, О. И. Журавлева
Keywords
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