Abstract:
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 arbi-trary Lewis numbers. Various mechanisms contributing to the smoothing out of the bent front of the flame are considered.