Receptivity of Plane Idealized One-Reaction Detonations to Three-Dimensional Perturbations

Abstract

Solution of the initial-value problem for small three-dimensional perturbations in a plane idealized one-dimensional detonation is presented as an expansion into modes of discrete and continuous spectra in the case of three-dimensional perturbations. The result provides a tool to predict initial amplitudes of the unstable modes depending on the initial perturbation. An example of initial perturbation introduced into the reaction zone is discussed. It is shown that the discrete spectrum stemming from the solution of the initial-value problem for an idealized onereaction detonation is equivalent to the spectrum of the conventional normal-mode approach.