A weakly nonlinear model for a self-accelerating outward propagating corrugated flame is formulated and explored. The self-acceleration is sustained by the intrinsic Darrieus-Landau and Rayleigh-Taylor instabilities until the Deshaies-Joulin deflagrability threshold is reached, followed by an abrupt transition to detonation. Emergence of the threshold is caused by positive feedback between the accelerating flame and the flame-driven pressure shock that results in the thermal runaway when the flame speed reaches a critical level. The model offers a simple mechanism that may be responsible for the transition to detonation in thermonuclear supernovae.
|Journal||Combustion and Flame|
|State||Published - Nov 2022|
- Darrieus-Landau and Rayleigh-Taylor instabilities in flames
- Deflagration-to-detonation transition
- Self-accelerating flames
- Supernovae explosions