Flow Fields of Flame Propagating in Channels Based on the Source Sheet Approximation

A volume source sheet plus a uniform flow is used to represent the flow field of a flame propagating in a channel. The unknown flame shape is determined by the requirement that the velocity normal and relative to it, i. e., the local flame speed is constant. The ratio of the propagation speed of the flame as a whole to the local flame speed appears as the important parameter. Five flow fields for the values 1.05, 1.20, 1.50, 2.00, and 4.00 of the parameter are computed. These give generally correct flame shapes and flow fields. The detailed results of the analysis are compared with two observed flow fields. Subject to the inherent limitations of the theory, the comparison is favorable.