Measurement and simulation of turbulent flame propagation in a spark ignition engine by using fractal burning model

The several burning models based on the wrinkled laminar flame concept had been proposed and applied to the turbulent premixed flame in a spark ignition engine. Fractal burning model is one of the flamelet burning models. However the formulations of fractal characteristics such as fractal dimension, inner cutoff scale and outer cutoff scale weren't established. These formulations based on the results of the fractal analysis in a constant volume vessel and a spark ignition engine were proposed in this study. The fractal dimension is expressed as a function of non-dimensional turbulence intensity and the density of mixture. Non-dimensional inner cutoff scale is expressed a function of Karlovitz number. Outer cutoff scale is equal to the flame radius. Finally the quasidimensional model for turbulent combustion was performed by using the fractal burning model with our formulations.