An analysis of flame instabilities for hydrogen–air mixtures based on Sivashinsky equation

•Flame instability model (DL, RT, TD) based in Sivashinsky equation.•Model based in the calculation of the wrinkling factor.•Evolution and dynamics of the wrinkling factor analyzed.

In this paper flame instabilities are analyzed utilizing the Sivashinsky equation in order to derive the flame wrinkling factor. This is a synthetic variable representing the excess of flame surface which is obtained for a wide range of hydrogen concentrations, considering the Darrieus–Landau and the Thermo-Diffusive instabilities, and also taking into account the effect of acceleration. Additionally, the time for the development of the cellularity is also analyzed. The study is carried out for a wide range of hydrogen–air mixtures as well as for a large domain of accelerations. Models representing both the wrinkling factor and the time of development of the instabilities are obtained.