Abstract
This paper proposes a mathematical model for the synthesis of porous materials from a granular low-calorie gas-free powder mixture, the reaction of which is supported by the filtration combustion of a gas mixture. The dynamics of synthesis is described by the equations that comprise the heat balance in the condensed and gas phases, the motion of the gas phase, the rate of reactions in phases, the conservation of momentum with additional relations. A numerical study was carried out using finite-difference methods. Mechanisms and modes of the propagation of reaction fronts in phases are determined depending on the characteristics of gas flow during co-current and counter filtration, the ratio of the gas-phase and solid-phase reaction constants, and the parameters of interphase heat transfer
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