A reduced model for a self-accelerating expanding flame subjected to the Darrieus-Landau and Rayleigh-Taylor instabilities: Transition to detonation

Leonid Kagan*, Peter V. Gordon, Gregory Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number112333
JournalCombustion and Flame
Volume245
DOIs
StatePublished - Nov 2022

Funding

FundersFunder number
Simons Foundation317882
United States-Israel Binational Science Foundation2020-005

    Keywords

    • Darrieus-Landau and Rayleigh-Taylor instabilities in flames
    • Deflagration-to-detonation transition
    • Self-accelerating flames
    • Supernovae explosions

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