Solitary traveling waves in a heterogeneous medium with a chemical reaction |
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Authors: | V. N. Snytnikov |
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Affiliation: | (1) Siberian Division, Russian Academy of Sciences, Boreskov Catalysis Institute, 630090 Novosibirsk |
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Abstract: | A correct method for constructing autowave solutions is proposed for single-temperature models of unsteady processes in a dissipative medium with Arrhenius type chemical reactions. It is based on extending the temperature range to 0 K and using the Kolmogorov-Petrovskii-Piskunov approach. Solutions that are not inconsistent with the Nernst theorem are selected from the obtained finite spectrum of autowave solutions. For a quasihomogeneous model of gas filtration in a dissipative heterogeneous medium with a single irreversible chemical reaction, such an autowave solution is unique. A nondimensional parameter is found whose critical value for the selected Zel’dovich number defines the existence condition for this self-similar solution. A criterion is obtained for the initial temperature range in which the chemical transformations in the reaction are negligibly small for autowave processes. Translated fromFizika Goreniya i Vzryva, Vol. 34, No. 3, pp. 29–36, May–June 1998. |
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