Hn. Najm et Af. Ghoniem, COUPLING BETWEEN VORTICITY AND PRESSURE OSCILLATIONS IN COMBUSTION INSTABILITY, Journal of propulsion and power, 10(6), 1994, pp. 769-776
The operation of premixed dump combustors is hindered by large-amplitu
de, low-frequency oscillations leading to flame flashback. The genesis
of this instability is the subject of this article. A physical model
that accounts for the relevant components of flow-combustion interacti
ons in this system is formulated assuming that the combustor is an aco
ustically compact trough, the flow is two dimensional, the flame is a
thin front, the inlet section is charged by a constant-pressure reserv
oir, and the exit pressure is forced. Numerical solutions at high Reyn
olds number are obtained using the vortex method. The nonreacting now
exhibits coherent oscillations that scale with the trough depth and in
let velocity to a Strouhal number of O(0.1). Simulations of the reacti
ng flow show that vorticity-flame-acoustic coupling is the driving mec
hanism for the observed instability. In this work, the exit pressure i
s modulated near the frequency of the natural mode, and the amplitude
of oscillation is observed to grow with increasing heat release due to
phase-matched coupling between flow and heat release oscillations, in
accordance with the Rayleigh criterion. This amplification ultimately
leads to now reversal and the propagation of the flame into the inlet
channel.