Skip to main content
Log in

Simulation of the Suppression of the Gas-Free Combustion of a Conical Sample with Heat Removal

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

A numerical investigation of the propagation of a combustion wave in a conical sample of a compound in the process of its self-propagating high-temperature synthesis with heat removal from the outer boundaries of the sample has been performed on the basis of the model of the nonstationary gas-free combustion of such a compound in the two-dimensional axisymmetric approximation with regard for the heterogeneity of the structure of the compound and the dependence of the diffusion of the reagents in it on its temperature. The heat removal from the surface of the conical sample of the compound, critical for the suppression of its combustion, and the dependence of the thickness of the compound layer burnt out incompletely on the rate of heat removal from the compound and the geometric sizes of its sample were determined.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. G. Merzhanov and A. S. Mukas’yan, Solid Fuel Combustion [in Russian], TORUS PRESS, Moscow (2007).

  2. B. V. Stepanov and A. S. Rogachev, Quenching of solid-phase combustion front of a symmetric sample by supercritical heat loss. Int. J. Self-Prop. High-Temp. Synth., 1, No. 3, 409–416 (1992).

    Google Scholar 

  3. A. Yu. Krainov, A. F. Opryshko, and D. S. Shul’ts, Simulation of the propagation of a gas-free combustion wave in a conical sample, Proc. Sci. Conf. "Nanostructure Systems and Pressing Problems of the Continuum Mechanics (Theory and Experiment)," 19–22 June 2010, Ulan-Udé, Izd. Inst. Prikl. Mekh. Ural. Otd. RAN, Izhevsk (2010), pp. 121–124.

  4. A. Yu. Krainov and D. S. Shul’ts, Suppression of the combustion of a conical sample of a SHS compound with heat removal from its outer boundaries, Proc. Youth Sci. Conf. Tomsk State Univ., Izd. Tomsk. Univ., Tomsk (2010), pp. 77–81.

  5. A. G. Merzhanov, Solid Fuel Combustion [in Russian], Izd. Inst. Strukt. Makrokin. RAN, Chernogolovka (2000).

  6. A. P. Aldushin, A. G. Merzhanov, and B. I. Khaikin, On some features of the combustion of condensed systems with high-melting reaction products, Dokl. Akad. Nauk SSSR, 204, No. 5, 1139–1142 (1972).

    Google Scholar 

  7. O. V. Lapshin and V. E. Ovcharenko, Mathematical model of the high-temperature synthesis of the nickel aluminide Ni3Al in the regime of thermal explosion of a mixture of pure powder elements, Fiz. Goreniya Vzryva, 32, No. 3, 68–76 (1996).

    Google Scholar 

  8. V. V. Chernetsova and K. G. Shkadinskii, Mathematical simulation of the macrokinetics of interaction of heterogeneous compounds at the front of their combustion with the condensed reaction products, Proc. XII Symp. on Combustion and Explosion, Chernogolovka (2000), Part I, pp. 153–155.

  9. O. B. Kovalev and V. V. Belyaev, Mathematical simulation of chemical reactions of metals in a reacting two-component dispersed mixture, Fiz. Goreniya Vzryva, 49, No. 5, 64–76 (2013).

    Google Scholar 

  10. A. Yu. Krainov and D. S. Shul’ts, Mathematical simulation of the SHS process in reacting heterogeneous powder mixtures, Komp. Issled. Modelir., 3, No. 2, 147–153 (2011).

  11. D. S. Shul’ts and A. Yu. Krainov, Numerical simulation of the gas-free combustion of a compound with regard for its heterogeneous structure and the temperature dependence of the diffusion in it, Fiz. Goreniya Vzryva, 48, No. 5, 142–147 (2012).

    Google Scholar 

  12. D. S. Shul’ts and A. Yu. Krainov, Numerical simulation of the nonstationary gas-free combustion of a compound on the basis of the model of diffusion kinetics, Izv. Vyssh. Ucheb. Zaved., Fizika, 56, No. 9/3, 223–225 (2013).

    Google Scholar 

  13. D. S. Shul’ts and A. Yu. Krainov, Simulation of the gas-free combustion of multilayer bimetal nanofilms, Gorenie Vzryv, 11, No. 4, 106–111 (2018).

    Google Scholar 

  14. A. P. Aldushin and B. I. Khaikin, On the problem of propagation of the front of combustion of condensed mixtures with a reaction diffusion, Teor. Tekhnol. Metalloterm. Protses., No. 3, 11–12 (1974).

    Google Scholar 

  15. B. I. Khaikin, On the theory of combustion processes in condensed media, in: Processes of Combustion in the Chemical Technology and Metallurgy [in Russian], Izd. Inst. Khim. Fiz. AN SSSR, Chernogolovka (1975), pp. 227–244.

  16. A. Yu. Krainov and D. S. Shul’ts, Modeling nonstationary gas-free combustion processes with account of sample structure heterogeneity, J. Eng. Phys. Thermophys., 92, No. 3, 673–681 (2019).

  17. B. I. Boltaks, Diffusion in Semiconductors [in Russian], Fizmatgiz, Moscow (1961).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Yu. Krainov.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 94, No. 6, pp. 1423–1429, November–December, 2021.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Krainov, A.Y. Simulation of the Suppression of the Gas-Free Combustion of a Conical Sample with Heat Removal. J Eng Phys Thermophy 94, 1387–1394 (2021). https://doi.org/10.1007/s10891-021-02421-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-021-02421-7

Keywords

Navigation