Effect of the central gravitational field on self-accelerating outward propagating flames subjected to the Rayleigh-Taylor instability: Transition to detonation

Leonid Kagan*, Gregory Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Within the Boussinesq approximation an elementary model for the deflagration-to-detonation transition triggered by self-acceleration of an expanding flame in a central gravitational field is formulated and explored numerically. The self-acceleration is sustained by the intrinsic Rayleigh-Taylor instability 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. The present study is an extension of the preceding models dealing with constant gravitational fields.

Original languageEnglish
Article number112951
JournalCombustion and Flame
Volume256
DOIs
StatePublished - Oct 2023

Funding

FundersFunder number
United States-Israel Binational Science Foundation2020-005

    Keywords

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

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