Numerical study of the laminar premixed flame stabilization on a slot burner: comparison between detailed and FGM models

It is still a challenging task to numerically solve flames using detailed chemical kinetics in multidimensional geometries of practical applications. To overcome this difficulty, many efforts have been done to develop chemical kinetics reducing techniques, such as ILDM, FPV, FPI, and FGM. Although these techniques are widely discussed in the literature, their implementation is not straightforward. In the present work, the FGM technique is implemented to solve a two-dimensional laminar premixed flame of $$\hbox {CH}_4/\hbox {air}$$ stabilized by heat losses to the burner rim. This configuration is explored to test the FGM prediction capabilities for some stable conditions, one of them close to the blow-off limit. Temperature, mass fraction of selected species, and the burning velocity variation along the flame surface are presented, and limitations of the technique were identified by comparing FGM results against the direct integration of the full set of conservation equation. In general, the FGM technique has shown a good quantitative agreement when compared with the direct integration.