Journal of Applied Mathematics and Physics

Volume 7, Issue 12 (December 2019)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.70  Citations  

Influence of Low-Frequency Sonolysis on the Stability of Reactions Involving Associates

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DOI: 10.4236/jamp.2019.712205    342 Downloads   673 Views  Citations

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.

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Kulagina, T. , Smirnov, L. and Andrianova, Z. (2019) Influence of Low-Frequency Sonolysis on the Stability of Reactions Involving Associates. Journal of Applied Mathematics and Physics, 7, 2950-2957. doi: 10.4236/jamp.2019.712205.

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