Possibility of detonation wave propagation in the Chapman–Jouguet regime in inhomogeneous media

We consider detonation wave propagation in an inhomogeneous fuel gas mixture at rest, whose initial state is characterized by values of pressure and density that are in the general case, functions of the spatial and time coordinates. The distance form the plane, axis or center of symmetry can be used as the spatial coordinate. The sources of mass, pulse, and energy are assumed to be present behind the detonation front. The appropriate necessary conditions for the detonation wave to propagate in the Chapman–Jouguet regime are determined. The relations obtained are analyzed for some inhomogeneous media: media with variable density, media with heat release varying with distance, and media with burnout sources behind the detonation front.