Skip to main content
SpringerLink
Log in

Nonlinear oscillations of combustion velocity of powder

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The combustion of powder, where the surface temperature Ts depends on the pressure p and the initial temperature T0, is studied under the condition of sinusoidally varying pressure. The nonlinearity of the heat conduction equation together with the dependence of the combustion velocity u and the surface temperature on both the pressure and initial temperature affects the zeroth harmonic and gives rise to higher harmonics in the combustion velocity and the temperature of the powder. The present paper considers the case of nonlinear resonance, when the frequency of the pressure fluctuations is close to the natural vibration frequency of the powder. It has been shown that an autonomous oscillatory regime of combustion is possible under constant pressure.

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. Novozhilov, “Stability criterion for the steady-state combustion of powder,” PMTF, [Journal of Applied Mechanics and Technical Physics], no. 4, 1965.

  2. Ya. B. Zel'dovich, “Theory of combustion of powders and explosive substances,” Zh. eksperim. i teor. fiz., vol. 12, no. 11–12, 1942.

  3. Ya. B. Zel'dovich, “Combustion velocity of powder under variable pressure,” PMTF, no. 3, 1964.

  4. B. V. Novozhilov, “Combustion of powder under a harmonically varying pressure,” PMTF [Journal of Applied Mechanics and Technical Physics], no. 6, 1965.

  5. L. D. Landau and E. M. Lifshits, Mechanics [in Russian], Fizmatgiz, 1958.

  6. J. Stoker, Nonlinear Oscillations in Mechanical and Electrical Systems [Russian translation], IIL, 1952.

  7. A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillations [in Russian], Fizmatgiz, 1959.

  8. A. A. Zenin, O. I. Leipunskii, A. D. Margolin, O. I. Nefedov, and P. F. Pokhil, “Temperature field at the surface of burning powder and stability of combustion,” Dokl. AN SSSR, vol. 169, no. 3, 1966.

Download references

Author information

Authors and Affiliations

  1. Moscow

    B. V. Novozhilov

Authors
  1. B. V. Novozhilov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author wishes to thank Ya. V. Zel'dovich, G. I. Barenblatt, A. S. Kompaneits, and O. I. Leipunskii for fruitful discussion and advice.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Novozhilov, B.V. Nonlinear oscillations of combustion velocity of powder. J Appl Mech Tech Phys 7, 19–25 (1966). https://doi.org/10.1007/BF00912620

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00912620

Keywords

Search

Navigation