Abstract
Marble's problem of a vortex winding up a diffusion flame sheet is simulated (Marble, 1985, with the effects of variable density and vorticity generation included. The initial flame is straight and passes through the vortex core, but not through the center of the vortex as in Marble's work. During the first eddy turn-over time, the swirling flow forms a flame tip region, and the amount of tip rotation around the vortex depends on the diffusion coefficient. During the next eddy turn-over time, the flame shape is quasi-steady with minor differences due to heat release and vorticity production over the parameter range examined. The gradient of mixture fraction at the flame sheet determines the amount of reaction in this Burke-Schumann flame model. This swirling flow maintains a uniform gradient along most of the flame surface, with the exception of a low-gradient region at the flame tip. If finite-rate chemistry is considered, then the tip region would likely be at higher temperature than the rest of the flame surface.
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References
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© 1989 Springer-Verlag
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Ashurst, W.T. (1989). Vorticity generation in a nonpremixed flame sheet. In: Dervieux, A., Larrouturou, B. (eds) Numerical Combustion. Lecture Notes in Physics, vol 351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51968-8_73
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DOI: https://doi.org/10.1007/3-540-51968-8_73
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