Pressure disturbances and strained premixed flames

A mathematical model is presented for pressure interactions with premixed flames in a prescribed strained velocity field. A stability analysis is carried out including pressure disturbances and an approximate frequency condition obtained. For positive strain the unsteady analysis indicates that the pulsating instability is suppressed. However, for a converging flow (negative strain), the instability is encouraged. Furthermore, the change of the neutral stability boundary in parameter space is explored, showing that a sharp pressure reduction makes the pulsating instability much more accessible.