On initiation of subsonic detonation in porous media combustion

Article type: Research Article

Authors: Gordon, P.V. | Kamin, S. | Sivashinsky, G.I.

Affiliations: School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel‐Aviv University, Ramat‐Aviv, Tel‐Aviv 69978, Israel

Abstract: The long time behavior of the system γΘt−(γ−1)Πt=Ω(Ψ,Θ), Ψt=−Ω(Ψ,Θ), Πt−Θt=Πxx 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.

Journal: Asymptotic Analysis, vol. 29, no. 3-4, pp. 309-321, 2002