On initiation of subsonic detonation in porous media combustion

Abstract

The long time behavior of the system γΘ_t−(γ−1)Π_t=Ω(Ψ,Θ), Ψ_t=−Ω(Ψ,Θ), Π_t−Θ_t=Π_xx is explored. The model describes gaseous detonation subjected to strong hydraulic resistance, e.g., gaseous explosion in inert porous media. It is shown that successful initiation of a self‐sustaining detonation wave is not always attainable and depends on the initial conditions. The current work is an extension of the previous study of the problem based on a simplified formulation assuming a similarity relation between the temperature and concentration fields.