Mathematical simulation of transient combustion of melted energetic materials
The computer code is elaborated for numerical simulation of transient combustion of energetic materials (EM) subjected to the action of time-dependent heat flux and under transient pressure conditions. It allows studying combustion response upon interrupted irradiation (transient pressure) and under action of periodically varied heat flux (pressure) in order to determine stability of ignition transients and parameters of transient combustion. The originally solid EM melts and then evaporates at the surface. It is assumed that chemical transformations occur both in the condensed and gas phases. At the burning surface, the phase transition condition in the form of Clapeyron-Clausius law for equilibrium evaporation is formulated that corresponds to the case of combustion of sublimated or melted EM. The paper contains description of transient combustion problem formulation and several examples of transient combustion modeling. At present time a precise prediction of transient burning rate characteristics is impossible because of the lack of information about magnitude of EM parameters at high temperatures. However, the simulation results bring valuable qualitative information about burning rate behavior at variations in time of external conditions – radiant flux and pressure.
2 Vilyunov VN, Zarko VE (1989) Ignition of solids. New York: Elsevier Science Publishers. ISBN 978-0444872890
3 Ermolin NE (1995) Combust Explos Shock Waves 31(5):555-565. Crossref
4 Liau Y-C, Yang V (1995) J Propul Power 11(4):729-39. Crossref
5 Davidson JE, Beckstead MW (1997) J Propul Power 13(3):375-83. Crossref
6 Beckstead MW (2000) An overview of combustion mechanisms and flame structures for advanced solid propellants. In: Solid propellant chemistry, combustion, and motor interior ballistics, ed. by Yang V, Brill TB, Ren WZ. P.267-285. Progress in Astronautics and Aeronautics, AIAA, New York, USA. Crossref
7 Puduppakkam KV, Beckstead MW (2005) Combust Sci Technol 177(9):1661-1697. Crossref
8 Beckstead MW, Puduppakkam K, Thakre P, Yang V (2007) Prog Energ Combuste 33:497-551. Crossref
9 Tian Zh, Zhang Zh, Lu F, Chen R (2014) Propell Explos Pyrot 39:838-843. Crossref
10 Gallier S, Ferrand A, Plaud M (2016) Combust Flame 173:2-15. Crossref
11 Gusachenko LK, Zarko VE, Rychkov AD (1999) J Propulsion Power 15: 816-822. Crossref
12 Mason EA, Saxena SC (1958) Phys Fluids 1:361-369. Crossref
13 Wilke CR (1950) J Chem Phys 18:517-522. Crossref
14 Anfimov NA (1962) Bulletin of the USSR Academy of Sciences, Mechanics and Mechanical Engineering [Izvestia AN SSSR, Mechanica i Mashinostroenie] 1:25-319. (In Russian)
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