A Contribution to the Theory of a Bent Flame

Within the framework of the Zel'dovich–Frank-Kamenetskii theory of a laminar flame, an eigenvalue linearized stationary boundary-value problem is considered to establish the dependence of the flame velocity on the curvature of its front of sinusoidal shape. The analysis has been carried out for arbitrary Lewis numbers. Various mechanisms contributing to the smoothing out of the bent front of the flame are considered.