Discrete combustion waves of two-dimensional nanocomposites

A combustion model for a thin heat-conducting film with discrete, chemically active hot spots distributed on its surface is proposed. An equation describing the combustion of such a system is derived, and exact analytical solutions of this equation for periodic arrangement of hot spots on the film surface are found. The sensitivity of burning rate to changes in the initial temperature of the system depending on its main parameters is determined. It is shown that the system has critical parameters (film thickness, hot spot concentration, and initial temperature) that define the limits of its combustion. With large concentrations of hot spots on the film surface, it is theoretically possible to reach burning rates that significantly exceed the speed of sound in the ambient gas. The proposed combustion model provides a qualitative explanation of the high burning rate of mechanoactivated nanocomposites and allows one to understand the influence of mechanoactivation on combustion of powder mixtures.