Combustion of multilayer systems with random layer thickness distribution: Mathematical modeling

Profile of combustion front in structurally unordered heterogeneous media was found to depend on the character of distribution in scale characteristics of burning media. In case of continuum distribution, dispersion markedly affects a front structure in the vicinity of transition from homogeneous to relay-race combustion. Dispersion also narrows the range of quasi-homogeneous combustion. In case of normal size distribution, oscillations of front amplitude become irregular upon increase in dispersion; this is also accompanied by an increase in the magnitude of forced vibrations caused by system inhomogeneity. Steadiness of combustion was found to depend not only on model parameters but also on the type of size distribution function.