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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010 Number 5, Pages 37–43 (Mi vmumm813)

Mechanics

A generalized Zel’dovich–Neumann–Döring model of steady gaseous detonation

V. M. Gendugov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A model of $N$-component gas mixture detonation satisfying the kinetic formulation of the mass action law with $n$ ($1\le n\le N-1$) independent reactions is studied. In the framework of this model, it is found that there exist two possible types of self-sustaining detonation waves with asymptotically stable combustion zones. It is shown that it is possible to observe only a strong wave propagating in the Chapman–Jouguet regime relative to the flow on the critical surface. It is also shown that, for a perfect gas mixture, this wave appears only when a combustion zone is formed by one or two reactions.

Key words: detonation, gas mixture, critical surface, stability, combustion zone.

UDC: 534

Received: 03.12.2007



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