Mathematical modeling of the spark discharge formation process and the correlation between its parameters and ignition threshold conditions for energetic material dust clouds

This study presents a mathematical modeling study of spark discharge formation in an experimental setup, establishing the dependence of discharge energy and temporal energy release profile on discharge circuit parameters. The research investigates the influence of key thermophysical properties of dust-air suspensions, particle size distribution, and discharge duration on the electrical-to-thermal energy conversion efficiency (an analytical expression for calculating the thermal component of discharge energy has been derived). A computational methodology has been developed to determine optimal discharge circuit parameters and charging voltage that ensure ignition of dust-air mixtures under variations of their thermophysical and dispersity characteristics across experimental series.