Critical ignition conditions in exothermically reacting systems: first-order reactions

Abstract

In this paper, the comparative analysis of the thermal explosion (TE) critical conditions on the planes temperature–conversion degree and temperature–time was conducted. It was established that the ignition criteria are almost identical only at relatively small values of Todes parameter. Otherwise, the results of critical conditions analysis on the plane temperature–conversion degree may be wrong. The asymptotic method of critical conditions calculation for the first-order reactions was proposed (taking into account the reactant consumption). The degeneration conditions of TE were determined. The calculation of critical conditions for specific first-order reaction was made. The comparison of the analytical results obtained with the results of numerical calculations and experimental data showed that they are in good agreement.