Filtration combustion regimes, e.g., combustion of gases in porous media or counterflow gasification of a solid fuel, provide a basis for energy-saving technologies. Due to internal heat recuperation, they allow attaining superadiabatic heating, i.e., the resulting temperatures are high enough to perform perfect chemical conversion at a low net heat release. Substantial progress in the description of these technologies has been made recently (see [1] and references therein). The mathematical modeling of such systems is still a topical problem. It is apparently unrealistic to determine the optimal conditions for such processes using direct integration of a complete set of equations for heat and mass transfer as well as chemical kinetics. Due to multiple governing parameters, such, calculations are complicated and the problem of distinguishing the crucial governing parameters is very difficult to tackle. The kinetic description of gas-phase chain reactions of hydrocarbon oxidation is also a serious problem. It was shown analytically [2, 3] that the nonmonotonic behavior of such systems with wide variation of governing parameters reflects the complex geometry of the parametric domain of chain self-ignition in gaseous mixtures.
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