Mathematical model of ignition of condensed systems by a high-temperature supersonic underexpanded jet

An approximate mathematical model is constructed and characteristics are calculated of ignition of a reactive plane infinite obstacle by a high-temperature nonstationary axisymmetric supersonic jet of combustion products escaping from the igniter. The approximate model data are compared with the results of numerical calculations using the system of equations of motion of an ideal gas, nonstationary equations of heat conduction and chemical kinetics, and conditions of conjugate heat exchange at the “gas–condensed medium” interface. The suggested approximate model adequately describes the ignition process and can be used for proximate evaluation of ignition time and temperature.