TITLE:
Influence of Low-Frequency Sonolysis on the Stability of Reactions Involving Associates
AUTHORS:
Tatiana P. Kulagina, Lev P. Smirnov, Zoya S. Andrianova
KEYWORDS:
Chemical Reaction, Kinetics, Liquid Medium, Reagent Association, Low-Frequency Action, Bistability Regime, Oscillation, Resonant Change
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.12,
December
3,
2019
ABSTRACT: The influence of low-frequency sonolysis on the kinetics bimolecular liquid-phase reactions was studied with due regard for the association (dimers and trimers) of starting reagents. The mathematical modeling of chemical reactions that were described by nonlinear differential equations is performed. The steady states, the singular points characteristics, the nature of concentration oscillations in the reaction system are described. With increasing frequency and amplitude of low-frequency sonic waves (up to some critical value), we observed the cessation of the reaction. This observation offers an additional tool for controlling reaction rate by the external action of low-frequency vibrations. The conclusions of the work are obtained under certain assumptions. The exact determination of the critical conditions for changes in dynamics is beyond the scope of the problem.