Skip to main content
SpringerLink
Log in

Numerical simulation of the unsteady combustion of solid rocket propellants at a harmonic pressure change

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

This study focuses on a numerical investigation of the unsteady burning rate of solid propellants at a harmonic pressure change in the combustion chamber of a solid propellant rocket engine. The physico-mathematical model includes the equations of heat transfer and decomposition of the oxidizer in the solid phase and two phases, the dual velocity, and the two-temperature reaction flow of gasification products. The boundary conditions on the solid fuel surface implement the conservation of energy fluxes and the mass of components. We numerically calculate the unsteady burning rate of metallized solid propellant and nitroglycerin powder under a harmonic pressure change in the combustion chamber of a solid propellant rocket engine and determine the dependence of the burning rate amplitude on the frequency of pressure oscillations. The amplitude of the burning rate depends nonmonotonously on the oscillation frequency. With increasing frequency, the amplitude first rises and then declines.

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. B. V. Novojilov, Unstationary Combustion of Solid Propellants, Nauka Publisher, Moscow, Russia (1973).

    Google Scholar 

  2. Ia. B. Zeldovich, O. I. Leipunsky and V. B. Librovich, Theory of Stationary Powder Combustion, Nauka Publisher, Moscow, Russia (1975).

    Google Scholar 

  3. B. V. Novojilov and V. N. Marshakov, Transitional regimes of ballistit powder combustion in a semiclosed volume, Russian Journal of Physical Chemistry, 30 (1) (2011) 25–37.

    Google Scholar 

  4. B. V. Novojilov and V. N. Marshakov, The inverse problem of the unstationary powder burning theory, Russian Journal of Physical Chemistry, 30 (12) (2011) 26–31.

    Google Scholar 

  5. M. Summerfield, Research on solid fuel rocket engines, Foreign literature Publisher, Moscow, Russia (1963).

  6. E. W. Price, Experimental observations of combustion instability, Progress in Astronautics and Aeronautics, 30 (1984) 733–790.

    Google Scholar 

  7. V. A. Arkhipov, S. A. Volkov and L. N. Revyagin, Experimental study of the acoustic admittance of the burning surface of composite solid propellants, Combustion, Explosion, and Shock Waves, 47 (2) (2011) 193–199.

    Article  Google Scholar 

  8. M. D. Harton, The use of a one-dimensional T-camera to study oscillating combustion, Rocket Technology and Cosmonautics, 6 (1964) 65–69.

    Google Scholar 

  9. A. Y. Krainov and V. A. Poryazov, Numerical simulation of the extinction of N powder by a pressure drop based on a coupled combustion model, Combustion, Explosion, and Shock Waves, 51 (6) (2015) 664–669.

    Article  Google Scholar 

  10. V. A. Poryazov and A. Y. Krainov, Mathematical model and numerical investigation on unsteady burning rate of metallized solid rocket fuel, Tomsk State University Journal of Mathemattics and Mechanics, 50 (2017) 99–111.

    Google Scholar 

  11. V. A. Poryazov, A. Y. Krainov and D. A. Krainov, A mathematical model of metallized solid propellant combustion under the changing pressure, MATEC Web of Conferences, 115 (03001) (2017).

    Google Scholar 

  12. A. Yu. Krainov, V. A. Poryazov and D. A. Krainov, Unsteady combustion modeling of metallized composite solid propellant, International Review on Modelling and Simulations (I.RE.MO.S.), 11 (5) (2017) 297–305.

    Article  Google Scholar 

  13. A. F. Beljaev, Y. V. Frolov and A. I. Korotkov, Study on combustion and ignition of fine-dispersed aluminum particles, Combustion, Explosion and Shock Waves, 4 (3) (1968) 323–329.

    Google Scholar 

  14. V. A. Poryazov, A. Yu. Krainov and D. A. Krainov, Simulating the combustion of N powder with added finely divided aluminum, Journal of Engineering Physics and Thermophysics, 88 (1) (2015) 94–103.

    Article  Google Scholar 

  15. Petukhov and V. K. Shikov (Eds.), Handbook of the Heat Exchangers, Energoatomizdat Publisher, Moscow, Russia (1987).

    Google Scholar 

  16. A. S. Shteinberg, Rapid Reactions in Energy-intensive Systems: High-temperature Decomposition of Rocket Fuels and Explosives, Fizmatlit, Publisher, Moscow, Russia (2006).

    Google Scholar 

  17. V. K. Bulgakov and A. M. Lipanov, Erosive Burning Theory of Solid Propellants, Nauka Publisher, Moscow, Russia (2001).

    Google Scholar 

  18. C. E. Hermance, A model of composite propellant combustion including surface heterogeneity and heat generation, AIAA Journal, 4 (9) (1966) 1629–1637.

    Article  Google Scholar 

  19. D. A. Lagodnikov, Ignition and Combustion of Metallized Powder, Bauman Moscow State Technical University Publishing, Moscow, Russia (2009).

    Google Scholar 

  20. V. A. Babuk, V. P. Belov and G. G. Sheluhin, Study on burn completeness of metal additives in composite condensed systems, Combustion, Explosion and Shock Waves, 14 (3) (1978) 39–44.

    Article  Google Scholar 

  21. V. M. Maltsev, M. I. Maltsev and L. Y. Kashporov, The Main Characteristics of Burning, Chemistry Publisher, Moscow, Russia (1977).

    Google Scholar 

  22. V. A. Arhipov, T. I. Gorbenko, M. V. Gorbenko, V. N. Popok and L. A. Saveljeva, Effect of catalytic additives on combustion of heterogeneous systems containing ultrafine aluminum, Russian Physics Journal, 50 (9/2) (2007) 12–16.

    Google Scholar 

Download references

Acknowledgements

This work was supported by a grant (No 8.2.09.2018) from «The Tomsk State University Competitiveness Improvement Programme».

Author information

Authors and Affiliations

  1. Department of Mathematical Physics, Tomsk State University, Tomsk, Russia

    Krainov Alexey & Poryazov Vasiliy

  2. Research Institute of Applied Mathematics and Mechanics, Tomsk State University, Tomsk, Russia

    Krainov Dmitry

Authors
  1. Krainov Alexey
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Poryazov Vasiliy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Krainov Dmitry
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Krainov Alexey.

Additional information

Recommended by Editor Yong Tae Kang

Krainov Alexey is a Professor with Ph.D. in Physical and Mathematical Sciences, specializing in thermophysics and theoretical heat engineering (2003, Russia, Tomsk). He works at the National Research Tomsk State University in the Department of Mathematical Physics. His scientific interests are combustion theory, chemical gas dynamics, and heat and mass transfer. Krainov is a coauthor of the gas-dynamic method for calculating explosion-proof distances in accidental explosions of methane in coal mines, which is used by engineering and technical staff to draw up plans for accident elimination.

Poryazov Vasiliy is an Associate Professor with Ph.D. in Physical and Mathematical Sciences, specializing in thermophysics and theoretical heat engineering (2015, Russia, Tomsk). He works at the National Research Tomsk State University in the Department of Mathematical Physics. His research interests include combustion theory, chemical gas dynamics, and heat and mass transfer.

Krainov Dmitry works as an assistant at the National Research Tomsk Polytechnic University. He has a Ph.D. in Physical and Mathematical Sciences, specializing in thermophysics and theoretical heat engineering (2016, Russia, Tomsk). His scientific interests are gas dynamics, numerical simulation, combustion, and heat and mass transfer.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alexey, K., Vasiliy, P. & Dmitry, K. Numerical simulation of the unsteady combustion of solid rocket propellants at a harmonic pressure change. J Mech Sci Technol 34, 489–497 (2020). https://doi.org/10.1007/s12206-019-1246-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-019-1246-5

Keywords

Search

Navigation