Fast subsonic combustion as a free-interface problem

  • Gregory I. Sivashinsky

    Tel-Aviv University, Israel
  • Peter V. Gordon

    University of Chicago, USA
  • Leonid S. Kagan

    Tel-Aviv University, Israel


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 DD is derived. The propagation velocity is controlled by the temperature (T+)(T_+) at the entrance to the reaction zone rather than at its exit (Tb)(T_b) as occurs in deflagrative combustion. The evaluated D(T+)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.

Cite this article

Gregory I. Sivashinsky, Peter V. Gordon, Leonid S. Kagan, Fast subsonic combustion as a free-interface problem. Interfaces Free Bound. 5 (2003), no. 1, pp. 47–62

DOI 10.4171/IFB/71