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Measurement of the temperature profile of an exothermic autocatalytic reaction front
Phys. Rev. E 80, 055101(R) – Published 19 November, 2009
DOI: https://doi.org/10.1103/PhysRevE.80.055101
Abstract
Autocatalytic reactions may propagate as solitary waves, namely, at a constant front velocity and with a stationary concentration profile, resulting from a balance between molecular diffusion and chemical reaction. When the reaction is exothermic, a thermal wave is linked to the chemical front. As the thermal diffusivity is nearly two orders of magnitude larger than the molecular one, the temperature profile spreads over length scales (mm) two orders of magnitude larger than the concentration one. Using an infrared camera, we measure the temperature profiles for a chlorite-tetrathionate autocatalytic reaction. The profiles are compared quantitatively to lattice Bhatnagar-Gross-Krook (BGK) numerical simulations. Our analysis also accounts for the lack of observation of the thermal wave for the iodate arsenous acid reaction.
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References (20)
- S. K. Scott, Oscillations, Waves, and Chaos in Chemical Kinetics (Oxford University Press, Oxford, 1994).
- R. A. Fisher, Proc. Annu. Symp. Eugen. Soc. 7, 355 (1937).
- A. N. Kolmogorov, I. G. Petrovskii, and N. S. Piskunov, Moscow Univ. Math. Bull. (Engl. Transl.) 1, 1 (1937).
- Ya. B. Zeldovitch and D. A. Franck-Kamenetskii, Actu. Phys. USSR 9, 341 (1938).
- S. L. Lane and D. Luss, Phys. Rev. Lett. 70, 830 (1993), and references therein.
- A. Hanna, A. Saul, and K. Showalter, J. Am. Chem. Soc. 104, 3838 (1982).
- S. Szirovicza, I. Nagypal, and E. Boga, J. Am. Chem. Soc. 111, 2842 (1989).
- M. Böckmann and S. C. Müller, Phys. Rev. Lett. 85, 2506 (2000).
- J. Pojman, I. R. Epstein, T. J. McManus, and K. Showalter, J. Phys. Chem. 95, 1299 (1991).
- S. Kalliadasis, J. Yang, and A. De Wit, Phys. Fluids 16, 1395 (2004).
- J. D’Hernoncourt, S. Kalliadasis, and A. De Wit, J. Chem. Phys. 123, 234503 (2005).
- J. D’Hernoncourt, A. Zebib, and A. De Wit, Chaos 17, 013109 (2007).
- P. Grosfils, F. Dubois, C. Yourassowsky, and A. De Wit, Phys. Rev. E 79, 017301 (2009).
- A. Tóth, D. Horváth, and A. Siska, J. Chem. Soc., Faraday Trans. 93, 73 (1997).
- D. Horváth, T. Bánsági, and A. Tóth, J. Chem. Phys. 117, 4399 (2002).
- I. Nagypal and I. R. Epstein, J. Phys. Chem. 90, 6285 (1986).
- J. Martin, N. Rakotomalala, D. Salin, and M. Böckmann, Phys. Rev. E 65, 051605 (2002).
- M. Leconte, J. Martin, N. Rakotomalala, and D. Salin, Phys. Rev. Lett. 90, 128302 (2003).
- F. P. Incropera, D. P. DeWitt, T. L. Bergman, A. S. Lavine, Fundamentals of Heat and Mass Transfer, 6th ed. (John Wiley & Sons, Inc., New York, 2006).
- N. Özisik, Heat Conduction, 2nd ed. (John Wiley & Sons, Inc., New York, 1993).