Two Quasi-One-Dimensional Descriptions of Premixed Flames Based on Flame Coordinates

Abstract

Two different curvilinear, flame coordinate systems are introduced. These form the basis for either the Intrinsic Disturbed Flame Equations (IDFE) or the Strongly Stretched Flamelet Equations (SSFE), which are quasi-one-dimensional systems of differential equations describing the inner structure and propagation velocity of stretched, premixed flames. Integral analysis is applied to derive relations for the mass burning rate, and for the IDFE, to derive jump conditions. The feasibility of both descriptions has been demonstrated. Finally, an efficient solution strategy for premixed flames is proposed, that combines both formalisms.

Keywords:

• Burning speed
• Flame coordinates
• Flame surface(s)
• Instrinsic disturbed flame equations (IDFE)
• Jump conditions
• Mass burning rate
• Premixed flames
• Stretch rate
• Strongly stretched flamelet equations (SSFE)
• Tensor formulation of conservation laws

The authors would like to thank the DFG for supporting this work with grant SFB606.