STABILITY OF A PLANAR FLAME FRONT IN THE SLOW-COMBUSTION REGIME

The hydrodynamic stability of a planar flame (deflagration) is determi ned by solving the complete system of equations, including thermal con duction and energy release due to chemical reactions, for the case in which the Lewis number is equal to unity. In the asymptotic limit of l arge-wavelength perturbations, the developed theory provides a rigorou s justification of the Darrieus-Landau assumption that the flame-front velocity is constant, which is the necessary supplementary; condition in the model of discontinuous flame front. The analytical solution fo r the suppression of the flame-front instability is obtained for an ar bitrary activation energy. It is shown that the obtained solution does not depend on the specific form of the energy release. The perturbati on growth rate is also found numerically by solving the eigen-value pr oblem.