TY - JOUR

T1 - Analytic description of the evolution of two-dimensional flame surfaces

AU - Sung, C. J.

AU - Sun, C. J.

AU - Law, C. K.

N1 - Funding Information:
The authors would like to thank Mr. K. M. Yu for valuable suggestions. This work was supported by the Ofjice of Basic Energy Sciences qf the Department of Energy.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

PY - 1996/10

Y1 - 1996/10

N2 - The passive propagation of wrinkled, non-folding, premixed flames in quiescent and spatially periodic flow fields is investigated by employing the scalar field, G-equation formulation. Rather than solving the G-equation 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 Landau limit of flame propagation with constant flame speed, the resulting g-equation degenerates to a quasi-linear wave equation in a quiescent flow. For the stretch-affected propagation mode in which the flame propagation speed is curvature-dependent, the resulting g-equation is in the general form of the 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 cusps and their inner structure, and the augmentation of the average burning velocity through flame wrinkling.

AB - The passive propagation of wrinkled, non-folding, premixed flames in quiescent and spatially periodic flow fields is investigated by employing the scalar field, G-equation formulation. Rather than solving the G-equation 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 Landau limit of flame propagation with constant flame speed, the resulting g-equation degenerates to a quasi-linear wave equation in a quiescent flow. For the stretch-affected propagation mode in which the flame propagation speed is curvature-dependent, the resulting g-equation is in the general form of the 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 cusps and their inner structure, and the augmentation of the average burning velocity through flame wrinkling.

UR - http://www.scopus.com/inward/record.url?scp=0030271202&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030271202&partnerID=8YFLogxK

U2 - 10.1016/0010-2180(96)00047-8

DO - 10.1016/0010-2180(96)00047-8

M3 - Article

AN - SCOPUS:0030271202

SN - 0010-2180

VL - 107

SP - 114

EP - 124

JO - Combustion and Flame

JF - Combustion and Flame

IS - 1-2

ER -