Theory of Flame-Acoustic Interaction for Flame Propagation in Spherical Chamber.

摘要

A simplified model describing acoustically-generated parametric instability in a spherical chamber is developed for quasi-one-dimensional, low-Mach flames. We demonstrate how sound waves generated by a centrally-ignited, outwardly-propagating accelerating flamefront can be incorporated into a theory of self-similar flame acceleration in free space developed previously. Being reflected from the chamber wall, flame-generated sound waves interact with the flamefront and the attendant hydrodynamic flame front cellular instability. This in turn affects the subsequent flame shape and propagation speed. It is shown that acoustics modifies the exponent in the self-similar power-laws flame acceleration, facilitating the transition to detonation in confinement.