An eigenvalue method for computing the burning rates of HMX propellants

摘要: Abstract A mathematical model for a three-tiered system consisting of solid, liquid, and gas is derived studying the combustion HMX propellants. The resulting nonlinear two-point boundary value problem solved by Newton’s method with adaptive gridding techniques. In this study burning rate computed as an eigenvalue, which removes uncertainty associated employing evaporation condensation laws in its evaluation. Results are presented laser-assisted self-deflagration monopropellants compared experimental results. rates over wide range ambient pressures compare well results from 1 to 90 atmospheres. found be proportional pressure raised 0.82 power. Sensitivity initial propellant temperature calculated extremely low, agreement past theoretical predictions data. show distinct primary secondary flame separated dark zone, length dependent upon incident laser flux intensity.