Lagrangian formulation of turbulent premixed combustion

Details Lagrangian formulation of turbulent premixed combustion Lagrangian formulation of turbulent premixed combustion

2011-06-24

arxiv.org/abs/1106.5009v2

Physical Review Letters 107, 044503 (2011)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.107.044503

The Lagrangian point of view is adopted to study turbulent premixed combustion. The evolution of the volume fraction of combustion products is established by the Reynolds transport theorem. It emerges that the burned-mass fraction is led by the turbulent particle motion, by the flame front velocity, and by the mean curvature of the flame front. A physical requirement connecting particle turbulent dispersion and flame front velocity is obtained from equating the expansion rates of the flame front progression and of the unburned particles spread. The resulting description compares favorably with experimental data. In the case of a zero-curvature flame, with a non-Markovian parabolic model for turbulent dispersion, the formulation yields the Zimont equation extended to all elapsed times and fully determined by turbulence characteristics. The exact solution of the extended Zimont equation is calculated and analyzed to bring out different regimes.

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