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Dynamic transitions in the Bray–Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation

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Abstract

The temporal dynamics of the Bray–Liebhafsky reaction (iodate-based catalytic decomposition of hydrogen peroxide in an acidic aqueous solution) was experimentally characterized in a continuous stirred tank reactor by independently varying the temperature and the mixed inflow hydrogen peroxide concentration. When the temperature was the bifurcation parameter, the emergence/disappearance of oscillatory behavior via a supercritical Andronov–Hopf bifurcation was observed for different mixed inflow hydrogen peroxide concentrations. An increase in the mixed inflow hydrogen-peroxide concentration resulted in a shift of the bifurcation point towards higher values of temperature, but did not alter the bifurcation type.

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Notes

  1. A batch reactor is a closed chemical reaction system where reactants are placed into the reaction vessel at the beginning and chemical reactions proceed thereafter without exchanging matter with the surroundings. The reaction mixture in a batch reactor is usually thermostated using a circulating water bath to maintain constant temperature [3].

  2. The mixed inflow concentration of reactant Xi ([Xi]) is the concentrations of the reactant Xi established in the reaction vessel after mixing the separate inflows, before any chemical reaction started. It is calculated by multiplying the concentration in the reservoir ([Xi]0) by the relative contribution of the flow of this species to the overall volume flow rate.

  3. These concentrations refer to stock concentrations of reactants Xi in the reservoirs ([Xi]0).

  4. The BL oscillatory reaction dynamics was examined when the concentration of hydrogen peroxide as control parameter varied from 0.007 to 0.2 mol L−1; other experimental conditions were: [KIO3] = 0.03 mol L−1, [H2SO4] = 0.125 mol L−1, j0 = 0.00625 min−1 and o = 700 rpm.

  5. The BL oscillatory reaction dynamics was examined when temperature as control parameter varied from 45.0 to 57.5.0 °C; other the experimental conditions were: [KIO3] = 0.059 mol L−1, [H2SO4] = 0.055 mol L−1, j0 = 0.0296 min−1 and o = 900 rpm. In those experiments, the rate at which gaseous phase removed was 5.8 mL min−1.

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Acknowledgments

The present investigations were supported by The Ministry of Education, Science and Technological Development of the Republic of Serbia, under Project 172015 and 43009.

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Authors and Affiliations

  1. Department of Physical Chemistry and Instrumental Methods, Faculty of Pharmacy, University of Belgrade, Vojvode Stepe 450, Belgrade, 11000, Serbia

    Nataša Pejić

  2. Faculty of Physical Chemistry, University of Belgrade, Studentski trg 12-16, Belgrade, 11000, Serbia

    Ljiljana Kolar-Anić, Jelena Maksimović & Slobodan Anić

  3. Radiation and Environmental Protection Department, Institute of Nuclear Science Vinča, University of Belgrade, Mihajla Petrovića Alasa 12-14, P.O. Box 522, Belgrade, 11001, Serbia

    Marija Janković

  4. Department of Clinical Neuroscience, Center for Molecular Medicine, Karolinska Institutet, CMM L8:01, 17176, Stockholm, Sweden

    Vladana Vukojević

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  1. Nataša Pejić
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Correspondence to Nataša Pejić.

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Pejić, N., Kolar-Anić, L., Maksimović, J. et al. Dynamic transitions in the Bray–Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation. Reac Kinet Mech Cat 118, 15–26 (2016). https://doi.org/10.1007/s11144-016-0984-y

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