Abstract
The author examines nonstationary processes (combustion at varying pressure, quenching, and ignition) for a model propellant whose burning rate u and surface temperature t1 depend on pressure p and initial temperature T0. All the processes in the surface reaction zone and the gas phase are assumed inertialess. It is shown that a theory of nonstationary combustion for such a model can be constructed by analogy with the Zel'dovich theory [1, 2], in which the surface temperature of the powder is assumed fixed. The variation of burning rate with time has been investigated for small sudden pressure changes. It is shown how a sufficiently large and steep pressure drop may cause quenching of the propellant. The process of propellant ignition is subjected to a qualitative analysis.
Similar content being viewed by others
References
Ya. B. Zel'dovich, “Theory of combustion of propellants and explosives,” ZhETF, vol. 12, no. 11– 12, 1942.
Ya. B. Zel'dovich, “Burning rate of a propellant at variable pressure,” PMTF, no. 3, 1964.
B. V. Novozhilov, “Stability criterion for steady- state burning of powders,” PMTF [Journal of Applied and Technical Physics], no. 4, 1965.
Yu. A. Gostintsev and A. D. Margolin, “The nonstationary burning of propellants,” PMTF, no. 5, 1964.
A. A. Zenin, O. I. Leipinskii, A. D. Margolin, O. I. Nefedova, and P. F. Pokhil, “Temperature field at the surface of a burning propellant and combustion stability,” DAN SSSR, vol. 169, no. 3, 1966.
B. V. Novozhilov, “Burning of a propellant under harmonically varying pressure,” PMTF [Journal of Applied Mechanics and Technical Physics], no. 6, 1965.
B. V. Novozhilov, “Nonlinear oscillations of propellant burning rate,” PMTF [Journal of Applied Mechanics and Technical Physics], no. 5, 1966.
V. B. librovich, “Theory of ignition of propellants and explosives,” PMTF, no. 6, 1963.
V. A, Ditkin and A. P. Prudnikov, Handbook of Operational Calculus [in Russian], Izd. Vysshaya shkola, 1965.
V. N. Faddeeva and N. M. Terent'ev, Tables of Values of the Error Function of a Complex Argument [in Russian], Gostekhizdat, 1954.
A. G. Istratov, V. B. Librovich, and B. V. Novozhilov, “An approximate method in the theory of nonstationary propellant burning rate,” PMTF, no. 3, 1964.
Yu. A. Gostintsev and A. D. Margolin, “Non-stationary combustion of a powder under the action of a pressure pulse,” Nauchno-tekhnicheskie problemy goreniya i vzryva [Combustion, Explosion and Shock Waves], no. 2, 1965.
C. C. Ciepluch, “Effect of rapid pressure decay on solid propellant combustion,” ARS Journal, vol. 31, no. 11, 1961.
Author information
Authors and Affiliations
Additional information
The author thanks O. I. Leipunskii, A. G. Istratov, V. B. Librovich, and A. D. Margolin for their comments and advice.
Rights and permissions
About this article
Cite this article
Novozhilov, B.V. Nonstationary burning of propellants with variable surface temperature. J Appl Mech Tech Phys 8, 37–43 (1967). https://doi.org/10.1007/BF00913239
Issue Date:
DOI: https://doi.org/10.1007/BF00913239