Approximate estimates of the characteristics of propellant ignition using radiant flux through shields with various properties

An analytical solution to the problem of propellant ignition using radiant flux is presented in a conjugate statement. The solution generalizes and supplements the results obtained earlier. The cases of ignition through absolutely transparent and opaque shields are considered. Approximate formulas for estimation of the time and temperature of the chemical-reaction onset and the time and temperature of the loss of quasi-stationary equilibrium in different limiting cases are obtained. Estimates of the influence of heat transfer into the environment (by the conductive mechanism) on the ignition characteristics are given. A comparison of the ignition characteristics of the propellant and shields is made.