Abstract
In the theory of ignition, the criterion obtained by Ya.B. Zeldovich in 1939, which made it possible to calculate the parameters of some ignition processes approximately, became widely known. In 1984, one of the authors (A.A. Filippov) has obtained an ignition criterion that accurately describes the experimental data under a number of assumptions, solving the heat conduction equation. In 2015, he derived this criterion using stability theory and later derived it from the heat balance equation. In this communication, the Zeldovich and Filippov criteria were obtained by solving the stationary heat conduction equation under limiting boundary conditions, whereas the first criterion refers to self-ignition and the second criterion refers to the ignition of a fuel by an incandescent surface. The ignition criterion relates all the parameters of the combustible system into one simple equation: the temperature of the medium and hot surface, the geometry and size of the hot body, and the heat removal conditions and the parameters of the chemical reaction of the fuel. Using the ignition criterion, it is possible to simulate other natural explosive processes.
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ACKNOWLEDGMENTS
The authors thank Dr. B.S. Ermolaev, a leading researcher at the Institute of Chemical Physics, Russian Academy of Sciences, for critical remarks, which allowed us to present the text of the paper more clearly and reasonably, as well as R.A. Filippov for computer-aided design of the paper and A.I. Kuznetsova for editing the paper.
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Filippov, A.A., Berlin, A.A. A Mathematical Theory of Ignition by an Incandescent Surface. Dokl. Phys. 67, 104–109 (2022). https://doi.org/10.1134/S1028335822040024
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DOI: https://doi.org/10.1134/S1028335822040024