Abstract
Within the framework of a weakly nonlinear model that describes the front dynamics of a divergent cylindrical flame under the assumption of smallness of the gas-expansion coefficient, exact analytical solutions of the evolution equation for the disturbed-flame surface were constructed. These solutions are similar to those derived from the polar-decomposition method. Based on computer numerical simulation, a new approach for describing a self-accelerating expanding cylindrical flame is proposed.
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Translated from Fizika Goreniya i Vzryva, Vol. 32, No. 5, pp. 8–16, September–October, 1996.
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Minaev, S.S., Pirogov, E.A. & Sharypov, O.V. A nonlinear model for hydrodynamic instability of an expanding flame. Combust Explos Shock Waves 32, 481–488 (1996). https://doi.org/10.1007/BF01998569
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DOI: https://doi.org/10.1007/BF01998569