Percolation theory, which addresses the connectedness of randomly-defined regions of space, is used to investigate the geometry of the flame surface of a combusting spray in the fast-chemistry, flame-sheet limit. In particular, percolation theory predicts the existence of two distinct combustion regimes in non-premixed sprays, regimes defined herein as "cluster combustion" and "percolate combustion." These regimes are natural generalizations of isolated droplet combustion and external group combustion respectively. The time evolution of the boundary between the two regimes is analyzed for a simple model problem, leading to predictions of the novel phenomena of flame expulsion and flame exclusion due to geometrical effects.
All Science Journal Classification (ASJC) codes
- Chemical Engineering(all)
- Fuel Technology
- Energy Engineering and Power Technology
- Mechanical Engineering
- Physical and Theoretical Chemistry
- Fluid Flow and Transfer Processes