학술논문

An Elementary Model for a Self-Accelerating Outward Propagating Flame Subject to the Rayleigh–Taylor Instability: Transition to Detonation
Document Type
article
Source
Fluids, Vol 5, Iss 4, p 196 (2020)
Subject
self-accelerating flames
inverse cascade
Rayleigh–Taylor instability
Boussinesq approximation
deflagration-to-detonation transition
supernovae explosions
Thermodynamics
QC310.15-319
Descriptive and experimental mechanics
QC120-168.85
Language
English
ISSN
2311-5521
Abstract
Within the Boussinesq approximation, an elementary model for the deflagration-to-detonation transition triggered by self-acceleration of an expanding flame is formulated and explored. 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.