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International Journal of Energetic Materials and Chemical Propulsion
ESCI SJR: 0.149 SNIP: 0.16 CiteScore™: 0.29

ISSN Imprimer: 2150-766X
ISSN En ligne: 2150-7678

International Journal of Energetic Materials and Chemical Propulsion

DOI: 10.1615/IntJEnergeticMaterialsChemProp.v4.i1-6.1020
pages 1104-1115

AN EIGENVALUE METHOD FOR COMPUTING THE BURNING RATES OF RDX AND HMX MONOPROPELLANTS

Kuldeep Prasad
Naval Research Laboratory, Washington DC 20375
Richard A. Yetter
The Pennsylvania State University, University Park, Pennsylvania 16802, USA
M. D. Smooke
Yale Center for Combustion Studies, Yale University, New Haven, CT

RÉSUMÉ

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


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