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.