### Abstract

The passive propagation of wrinkled, non-folding, premixed flames in quiescent and spatially periodic flow fields is investigated by employing the scalar field, Gequation, formulation. Rather than solving the Gequation directly, we transform it into a g-equation, which is a differential equation governing the evolution of the slope of the flame shape in two-dimensional flows. For the Huygens propagation mode in quiescent flow, the resulting g-equation degenerates to a quasilinear wave equation. For the non-Huygens propagation mode in which the flame propagation speed is curvature dependent, the resulting g-equation is in the general form of Burgers' equation. Analytical solutions were obtained for several flame and flow types, revealing some interesting characteristics of the geometry and propagation of the flame, including the formation of comers and their inner structure, and the average burning velocity in relation to turbulent flame propagation.

Original language | English (US) |
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State | Published - Jan 1 1996 |

Event | 34th Aerospace Sciences Meeting and Exhibit, 1996 - Reno, United States Duration: Jan 15 1996 → Jan 18 1996 |

### Other

Other | 34th Aerospace Sciences Meeting and Exhibit, 1996 |
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Country | United States |

City | Reno |

Period | 1/15/96 → 1/18/96 |

### All Science Journal Classification (ASJC) codes

- Space and Planetary Science
- Aerospace Engineering

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## Cite this

*On the evolution of two-dimensional flame surfaces*. Paper presented at 34th Aerospace Sciences Meeting and Exhibit, 1996, Reno, United States.