Advertisement

L*-Combustion Instability in Solid Propellant Rocket Combustion

  • S. I. Cheng

Abstract

An analysis of the L*-combustion instability in solid propellant rockets is formulated to include (1) secondary or residual combustion in the rocket chamber and (2) the change of the mean chamber pressure. The aim was to explore if these factors might remedy the failure of the many transient heat-transfer theories with quasi-steady gaseous-phase reactions in predicting any L*-combustion instability. It became clear soon how and why the response functions derived from such quasi-steady gas-phase reaction theories must fail regardless of the aforementioned remedies.

The time-lag formulation, which emphasizes the transient gaseous-phase reactions, is then examined in the same context. It encounters no such difficulties. If some form of Arrhenius transient reaction-rate law for the gaseous burning zone is postulated, the magnitude of the interaction index is more than adequate to explain the occurrence of L*-instability in AP motors. The apparently anomalous behavior of L*-combustion stability in rockets with nitrocellulose or nitramine propellants is a natural consequence of the time conditions of such instability. The interaction index and some mean time lag of a propellant can be determined from experimental data with sufficient details.

Keywords

Burning Rate Chamber Pressure Solid Propellant Combustion Instability Interaction Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L. Green, Jr., Some properties of solid propellant burning, Jet Propulsion 28, 6 (1958).Google Scholar
  2. 2.
    W. Nachbar and L. Green, Jr., Analysis of a simplified model of solid propellant resonant burning, J. Aero/Space Sci. 26, 8 (1959).Google Scholar
  3. 3.
    R. Akiba and M. Tanno, Low frequency instability in solid propellant rocket motors, in: First Symposium on Rockets and Astronautics, Tokyo Proceedings (1959).Google Scholar
  4. 4.
    W. R. Hart and F. T. McClure, Combustion instability: Acoustic interaction with a burning propellant surface, J. Chem. Phys. 30, 9 (1959).CrossRefGoogle Scholar
  5. 5.
    J. F. Bird, L. Harr, R. W. Hart, and F. T. McClure, Effect of solid propellant compressibility on combustion instability, J. Chem. Phys. 32, 5 (1960).CrossRefGoogle Scholar
  6. 6.
    M. R. Denison and E. Baum, A simplified model of unstable burning in solid propellants, ARS J. 31, 8 (1961).Google Scholar
  7. 7.
    R. W. Waesche and M. Summerfield, Solid Propellant Combustion Instability: Oscillatory Burning of Solid Rocket Propellants, Princeton Univ. AMS Report 751, p. 8, Princeton, New Jersey (1965).Google Scholar
  8. 8.
    R. W. Hart, R. A. Farrel, and R. H. Cantrell, Theoretical study of a solid propellant having a heterogeneous surface reaction. I. Acoustic response, low and intermediate frequencies, Combust. Flame 10, 12 (1966).CrossRefGoogle Scholar
  9. 9.
    F. E. C. Culick, Calculation of admittance function for a burning surface, Astronaut. Acta 13, 3 (1967).Google Scholar
  10. 10.
    H. Krier, J. S. T’ien, W. A. Sirignano, and M. Summerfield, Nonsteady burning phenomena of solid propellants: Theory and experiment, AIAA J. 6, 2 (1968).CrossRefGoogle Scholar
  11. 11.
    G. A. Marxman and C. E. Wooldridge, Effects of surface reactions on the solid propellant response function, AIAA J. 6, 3 (1968).CrossRefGoogle Scholar
  12. 12.
    F. E. C. Culick, A review of calculations for unsteady burning of a solid propellant, AIAA J. 6, 12 (1968).Google Scholar
  13. 13.
    M. W. Beckstead and F. E. C. Culick, A comparison of analysis and experiment for solid propellant combustion instability, AIAA J. 9, 1 (1971).CrossRefGoogle Scholar
  14. 14.
    S. I. Cheng, High frequency combustion instability in solid propellant rockets, Jet Propulsion, January-April, Parts I and II (1954).Google Scholar
  15. 15.
    F. K. Moore and S. H. Maslen, Transverse Oscillations in a Cylindrical Combustion Chamber, NACA TN 3152 (1954).Google Scholar
  16. 16.
    S. I. Cheng, Unstable combustion in solid propellant rocket motors, in: Eight Symp. (Int.) on Combust., pp. 81–96, Williams and Wilkins, Baltimore (1962).Google Scholar
  17. 17.
    T-Burner Manual, Chemical Propulsion Information Agency, CPIA Publ. 191, Silver Springs, Maryland (1969).Google Scholar
  18. 18.
    Experimental Studies on the Oscillatory Combustion of Solid Propellants, Aerothermo Chemistry Division, Naval Weapons Center Report NWC TP 4393, China Lake, California (1969).Google Scholar
  19. 19.
    L. Crocco and S. I. Cheng, Theory of Combustion Instability in Liquid Propellant Rocket Motors, AGARDograph No. 8, Chapter 1 and Appendix 2, Butterworths, London (1956).Google Scholar
  20. 20.
    H. F. R. Schöyer, Low Frequency Oscillatory Combustion, Experiments and Results Agard Conf. Proc. CP259, p. 25, London (1979).Google Scholar
  21. 21.
    M. Summerfield, private communication.Google Scholar

Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • S. I. Cheng
    • 1
    • 2
  1. 1.Princeton UniversityPrincetonUSA
  2. 2.Princeton Combustion Research Laboratories, Inc.PrincetonUSA

Personalised recommendations