Stability of steady combustion of low-gas composition with heat and mass transfer through the lateral surface of a cylindrical sample

The mathematical model of low-gas condensed systems permits the investigation of a wide range of frontal processes of exothermal conversion of porous condensed compositions with partially gasifying reaction products. However, this model, like the phenomenon itself, is complex, nonlinear, and multiparametric. Lacking the means to obtain an analytical solution in traveling-wave form and establish the limits of its stability, the influence of various determining factors on the limit of stability has been investigated in the present work. This provides a qualitative picture of the influence of the LGC parameters on the stability of steady combustion and permits rational control of the combustion conditions.