The paper is concerned with the recently identified fast, yet subsonic, combustion waves occurring in obstacle-laden (e.g. porous) systems and driven not by thermal diffusivity but rather by the drag-induced diffusion of pressure. In the framework of a quasi-one-dimensional formulation where the impact of obstacles is accounted for through a frictional drag term, an asymptotic expression for the wave propagation velocity D is derived. The propagation velocity is controlled by the temperature (T+) at the entrance to the reaction zone rather than at its exit (Tb) as occurs in deflagrative combustion. The evaluated D(T+) dependence allows description of the subsonic detonation in terms of a free-interface problem. The latter is found to be dynamically akin to the problem of gasless combustion known for its rich pattern-forming dynamics.
Classification :
01-XX, 00-XX
Mots-clés :
combustion, free-interface problem
Affiliations des auteurs :
Peter V. Gordon
1
;
Leonid S. Kagan
2
;
Gregory I. Sivashinsky
2
1
University of Chicago, USA
2
Tel-Aviv University, Israel
Peter V. Gordon; Leonid S. Kagan; Gregory I. Sivashinsky. Fast subsonic combustion as a free-interface problem. Interfaces and free boundaries, Tome 5 (2003) no. 1, pp. 47-62. doi: 10.4171/ifb/71
@article{10_4171_ifb_71,
author = {Peter V. Gordon and Leonid S. Kagan and Gregory I. Sivashinsky},
title = {Fast subsonic combustion as a free-interface problem},
journal = {Interfaces and free boundaries},
pages = {47--62},
year = {2003},
volume = {5},
number = {1},
doi = {10.4171/ifb/71},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/71/}
}
TY - JOUR
AU - Peter V. Gordon
AU - Leonid S. Kagan
AU - Gregory I. Sivashinsky
TI - Fast subsonic combustion as a free-interface problem
JO - Interfaces and free boundaries
PY - 2003
SP - 47
EP - 62
VL - 5
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/71/
DO - 10.4171/ifb/71
ID - 10_4171_ifb_71
ER -
%0 Journal Article
%A Peter V. Gordon
%A Leonid S. Kagan
%A Gregory I. Sivashinsky
%T Fast subsonic combustion as a free-interface problem
%J Interfaces and free boundaries
%D 2003
%P 47-62
%V 5
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/71/
%R 10.4171/ifb/71
%F 10_4171_ifb_71
