Propagation speed of combustion and invasion waves in stochastic simulations with competitive mixing

Abstract

We consider the propagation speeds of steady waves simulated by particles with stochastic motions, properties and mixing (Pope particles). Conventional conservative mixing is replaced by competitive mixing simulating invasion processes or conditions in turbulent premixed flames under the flamelet regime. The effects of finite correlation times for particle velocity are considered and wave propagation speeds are determined for different limiting regimes. The results are validated by stochastic simulations. If the correlation time is short, the model corresponds to the KPP–Fisher equation, which is conventionally used to simulate invasion processes. If the parameters of the simulations are properly selected, the model under consideration is shown to be consistent with existing experimental evidence for propagation speeds of turbulent premixed flames.

Keywords:

• turbulent premixed flames
• competitive mixing
• propagation speeds

Acknowledgement

The work of AYK is supported by the Australian Research Council. The work of SBP was supported in part by the Air Force Office of Scientific Research under grant FA-9550-09-1-0047 and in part by the Department of Energy under grant DE-FG02-90ER14128.