Numerical analysis of thermal ignition statistics in a stochastic reacting medium

Igor G. Donskoy, Egor I. Gross

Melentiev Energy Systems Institute SB RAS, National Research Irkutsk State Technical University

In this work, we use numerical modeling, to study the behavior of reacting media with a stochastic spatial distribution of reactivity. The aim is to determine the boundaries of thermal stability and ignition behavior under supercritical conditions for such systems. These problems are solved numerically using the Monte Carlo method. The simulation results are analyzed and the statistical characteristics of ignition processes in stationary and non-stationary settings are assessed. The results of the work can be useful in analyzing the behavior of chemical systems with a random distribution of reacting components.

stochastic process, thermal explosion, critical conditions, mathematical modeling

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