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Steady states of the surface of a nonadiabatic flame near the limits
A. E. Medvedeva, S. S. Minaevb a Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk
b Institute of Chemical Kinetics and Combustion, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk
Abstract:
Within the framework of a weakly linear model, which describes a nonadiabatic flame near the limit of its propagation caused by heat losses, steady states of the combustion-wave from are studied. Three-dimensional structures of the wave front are formed because of diffusion-thermal instability of the planar flame. The limits of propagation of a curved flame front are shown to expand if the diffusion-thermal instability is taken into account: a cellular flame can exist at heat losses higher than the critical value for the two-dimensional flame. The stability of steady solutions, which describe the cellular flame near the limits of its propagation, is studied. For sufficiently high heat losses, steady solutions for a nonadiabatic flame with front discontinities are obtained.
Received: 20.07.1998 Accepted: 28.10.1998
Citation:
A. E. Medvedev, S. S. Minaev, “Steady states of the surface of a nonadiabatic flame near the limits”, Fizika Goreniya i Vzryva, 35:4 (1999), 3–11; Combustion, Explosion and Shock Waves, 35:4 (1999), 351–358
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https://www.mathnet.ru/eng/fgv2349 https://www.mathnet.ru/eng/fgv/v35/i4/p3
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