Fractal flame structure due to the hydrodynamic Darrieus-Landau instability

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Rixin YuV Bychkov

Abstract

By using large scale numerical simulations, we obtain fractal structure, which develops at originally planar flame fronts due to the hydrodynamic Darrieus-Landau (DL) instability bending the fronts. We clarify some important issues regarding the DL fractal flames, which have been debated for a long time. We demonstrate an increase of the flame propagation speed with the hypothetic channel width, which controls the length scale of the instability development. We show that this increase may be fitted by a power law indicating the mean fractal properties of the flame front structure. The power exponent in this law is found to be not a universal constant, rather it depends on the flame properties-on the density drop at the front. Using box counting on the simulated flame front shapes we show the fractal flame dimension at the intermediate scale is smaller than the one given by the power law, but it has a similar dependency on the density drop. We also obtain a formation of pockets at the DL fractal flame fronts, which previously has been associated only with turbulent burning.

References

May 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S I Blinnikov, P V Sasorov
Oct 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·V V BychkovL E Eriksson
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·O Y TravnikovM A Liberman
Jun 23, 2009·Nature Materials·Piotr MatybaLudvig Edman
Aug 14, 2009·Nature·D KasenS E Woosley
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mikhail ModestovMattias Marklund
Jul 30, 2011·Physical Review Letters·V BychkovL Edman
Dec 6, 2014·Physical Review Letters·O JukimenkoV Bychkov

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Citations

Sep 11, 2019·Physical Review. E·Rixin Yu, Andrei N Lipatnikov
Dec 15, 2016·Physical Review. E·Francesco CretaGuido Troiani
Jul 18, 2021·Physical Review. E·Basile RadissonChristophe Almarcha

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