Coordinate-free description of corrugated flames with realistic density drop at the front

TL;DR

This paper derives coordinate-free hydrodynamic equations for corrugated flames with realistic density drops, incorporating finite flame thickness and turbulent effects, aligning with the Taylor hypothesis for turbulence.

Contribution

It introduces a novel coordinate-free formulation of flame front equations that accounts for finite thickness and turbulence effects, enhancing modeling accuracy.

Findings

Equations are valid for corrugated flames with realistic density drops.

Finite flame thickness effects can be incorporated into the equations.

Turbulent flame equations are consistent with the Taylor hypothesis.

Abstract

The complete set of hydrodynamic equations for a corrugated flame front is reduced to a system of coordinate-free equations at the front using the fact that vorticity effects remain relatively weak even for corrugated flames. It is demonstrated how small but finite flame thickness may be taken into account in the equations. Similar equations are obtained for turbulent burning in the flamelet regime. The equations for a turbulent corrugated flame are consistent with the Taylor hypothesis of stationary external turbulence.