Skip to main content
SpringerLink
Log in

Nonlinear response functions of the burning rate of ballistite powders

  • Published:
Combustion, Explosion, and Shock Waves Aims and scope

Abstract

Second-order nonlinear response functions to pressure oscillations are calculated for a group of ballistite powders with additives, based on results of microthermocouple measurements. A unified law of gasification of ballistite powders is refined. A classification of nonlinear response functions is proposed: viscous, normal, and critical response functions are identified. More than half of the burning regimes of these powders are demonstrated to have a viscous response type with a weak dependence on frequency and with a weakly expressed maximum in the case of a resonance. The effect of the powder composition on the nonlinear response functions is analyzed. Specific features of the nonlinear response as a function of a new parameter (phase shift between the interacting modes) are considered. It is shown that the errors in determining the nonlinear response functions depend on the response type and have low values for the majority of the burning regimes. Arguments in favor of the process one-dimensionality in the reactive layer of the condensed phase are given. A hypothesis of the near-critical state of some products of decomposition in this layer is proposed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. A. Zenin and S. V. Finjakov, “Burning-rate response functions of nitramine-based propellants and HMX from microthermocouple data measurements,” Combust., Expl., Shock Waves, 36, No. 1, 10–20 (2000).

    Article  Google Scholar 

  2. E. W. Price, “Experimental observations of combustion instability,” in: K. K. Kuo and M. Summerfield (eds.), Progress in Astronautics and Aeronautics, Vol. 90: Fundamentals of Solid-Propellant Combustion, AIAA, New York (1984), pp. 733–790.

    Google Scholar 

  3. J. S. T’ien, “Theoretical analysis of combustion instability,” ibid., pp. 791–840.

    Google Scholar 

  4. F. E. C. Culick and V. Yang, “Prediction of the stability of unsteady motions in solid-propellant rocket motors,” in: L. De Luca, E. W. Price, and M. Summerfield (eds.), Progress in Astronautics and Aeronautics, Vol. 143: Combustion Stability of Solid Propellants, AIAA, Washington (1992), pp. 719–780.

    Google Scholar 

  5. B. V. Novozhilov, M. Kohno, H. Maruizumi, and T. Shimara, “Solid propellant burning rate response functions of higher orders,” The Inst. of Space and Astronaut. Sci. Report No. 661, Kanagava (1996); http://ci.nii.ac.jp/naid/110000029174/en/.

  6. C. M. Mihlfeith, A. D. Baer, and N. W. Ryan, “The response of a burning propellant surface to thermal radiation,” AIAA J., 10, No. 10, 1280–1285 (1972).

    Article  Google Scholar 

  7. V. E. Zarko, V. N. Simonenko, and A. B. Kiskin, “Radiation-driven transient burning: Experimental results,” in: L. De Luca, E. W. Price, and M. Summerfield (eds.), Progress in Astronautics and Aeronautics, Vol. 143: Nonsteady Burning and Combustion Stability of Solid Propellants, AIAA, Washington, DC (1992), pp. 363–398.

    Google Scholar 

  8. L. De Luca, “Theory of nonsteady burning and combustion stability of solid propellants by flame model,” ibid., pp. 519–600.

    Google Scholar 

  9. W. W. Erikson and M. W. Beckstead, “Modeling unsteady monopropellant combustion with full chemical kinetics,” AIAA Paper No. 98-0804 (1998).

  10. F. Cozzi, L. T. DeLuca, and B. V. Novozhilov, “Linear stability and pressure-driven response function of solid propellants with phase transition,” J. Propuls. Power, 15, No. 6, 806–815 (1999).

    Article  Google Scholar 

  11. V. N. Simonenko, A. B. Kiskin, V. M. Fomenko, and A. G. Svit, “Study of the powder burning rate response to periodic laser radiation,” in: Combustion of Condensed Systems [in Russian], Chernogolovka (1986), pp. 75–78.

  12. J. C. Finlinson, D. Hanson-Parr, S. F. Son, and M. Q. Brewster, “Measurement of propellant combustion response to sinusoidal radiant heat flux,” AIAA Paper No. 91-0204 (1991).

  13. J. C. Finlinson, R. A. Stalnaker, and F. S. Blomshield, “HMX and RDX — burner pressure coupled response from 200 to 1000 psi,” AIAA Paper No. 98-0556 (1998).

  14. J. C. Finlinson and F. S. Blomshield, “HMX T-burner pressure coupled response at 200, 500, and 1000 psi,” in: K. K. Kuo and L. T. De Luca (eds.), Combustion of Energetic Materials, Begell House, Inc., New York (2002), pp. 854–866.

    Google Scholar 

  15. C. Lee and S.-I. Kim, “Re-examination of the response function of solid propellant with radiant flux,” AIAA Paper No. 99-0590 (1999).

  16. F. Cauty, “Solid propellant response functions from direct measurement methods: A review of ONERA experience,” in: Materials of Int. Workshop on Combustion Instability of Solid Propellants and Rocket Motors, Milan (1997).

  17. S. R. Hickman and M. Q. Brewster, “Oscillatory combustion of fine-AP/HTPB propellants,” AIAA Paper No. 98-0557 (1998).

  18. M. W. Beckstead and F. S. Blomshield, “Some nonlinear combustion instability characteristics of solid propellant rocket motors,” in: Materials of Int. Workshop on Combustion Instability of Solid Propellants and Rocket Motors, Milan (1997).

  19. V. V. Serushkin, S. A. Sinditskii, and S. A. Filatov, “Method of determining the dynamic characteristics of solid propellant combustion,” in: Rocket Engines and Problems of Their Application for Space Conquering, Abstracts of Int. Conf., Kaluga-Moscow (2003), pp. 76–77.

  20. A. A. Zenin and S. V. Finjakov, “Burning-rate response functions of composite-modified double-based propellants and HMX,” in: V. Yang, T. B. Brill, and W.-Z. Ren (eds.), Progress in Astronautics and Aeronautics, Vol. 185: Solid Propellant Chemistry, Combustion, and Motor Interior Ballistics, AIAA, Reston, Virginia (2000), pp. 639–662.

    Google Scholar 

  21. A. A. Zenin and S. V. Finjakov, “Characteristic features of burning-rate response functions: a review,” in: K. K. Kuo and L. T. De Luca (eds.), Combustion of Energetic Materials, Begell House, Inc., New York (2002), pp. 837–853.

    Google Scholar 

  22. I. N. Bronshtein and K. A. Semendyaev, Handbook in Mathematics for Engineers and Students [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  23. A. A. Zenin, “Thermophysics of stable combustion waves of solid propellants,” in: L. DeLuca, E. W. Price, and M. Summerfield (eds.), Progress in Astronautics and Aeronautics, Vol. V. 143: Nonsteady Burning and Combustion Stability of Solid Propellants, Chapter 6, AIAA, Washington (1992), pp. 197–231.

    Google Scholar 

  24. A. A. Zenin, “Experimental study of the solid propellant combustion mechanism and the flow of combustion products,” Doct. Dissertation in Phys.-Math. Sci., Moscow (1976).

  25. A. A. Zenin, S. V. Finjakov, V. M. Puchkov, and N. G. Ibragimov, “Temperature coefficients of parameters of combustion waves in nitramine-containing powders,” Khim. Fiz., 18, No. 9, 73–81 (1999).

    Google Scholar 

  26. A. A. Zenin, S. V. Finjakov, V. M. Puchkov, and N. G. Ibragimov, “Temperature and pressure sensitivities of burning wave parameters of nitramine-containing propellants and HMX,” J. Propuls. Power, 15, No. 6, pp. 753–758.

  27. A. A. Zenin, S. V. Finjakov, B. M. Puchkov, and N. G. Ibragimov, “Temperature coefficients of parameters of combustion waves spreading through nitramine-containing propellants,” Chem. Phys. Reports, 18, No. 9, 1721–1737 (2000).

    Google Scholar 

  28. B. V. Novozhilov, “Acoustic resonance upon propellant combustion,” Combust., Expl., Shock Waves, 36, No. 1, 3–9 (2000).

    Article  MathSciNet  Google Scholar 

  29. A. A. Zenin and S. V. Finjakov, “Response functions of HMX and RDX burning rates with allowance for melting,” Combust., Expl., Shock Waves, 43, No. 3, 309–319 (2007).

    Article  Google Scholar 

  30. I. K. Kikoin (ed.), Tables of Physical Quantities: Handbook [in Russian], Atomizdat, Moscow (1976).

    Google Scholar 

  31. J. V. Sengers, “Effects of critical fluctuations on the thermodynamic and transport properties of supercritical fluids,” in: E. Kiran, J. M. H. Levelt, J. V. Sengers, et al. (eds.), Supercritical Fluids — Fundamentals for Applications, Proc. of the NATO Advanced Study Inst. on Supercritical Fluids (1994), pp. 231–271.

  32. V. Vesovic, “On correlating the transport properties of supercritical fluid,” ibid., pp. 273–283.

  33. J. P. O’Connell, “Thermodynamics and fluctuation solution theory with some applications to systems at near-or supercritical conditions,” ibid., pp. 191–229.

Download references

Author information

Authors and Affiliations

  1. Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, 119991, Russia

    A. A. Zenin & S. V. Finjakov

Authors
  1. A. A. Zenin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. V. Finjakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Zenin.

Additional information

__________

Translated from Fizika Goreniya i Vzryva, Vol. 44, No. 4, pp. 44–59, July–August, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zenin, A.A., Finjakov, S.V. Nonlinear response functions of the burning rate of ballistite powders. Combust Explos Shock Waves 44, 410–424 (2008). https://doi.org/10.1007/s10573-008-0067-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10573-008-0067-0

Key words

Search

Navigation