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Detonation Initiation upon Interaction of a Shock Wave with a Combustible Gas Bubble

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Abstract

In this paper, we perform a numerical simulation of the interaction of a shock wave in a gas with an ellipsoidal combustible gas bubble of increased density in a two-dimensional plane and with axisymmetric formulations based on the Euler equations. Three qualitatively different modes of detonation initiation were found: direct detonation initiation in the front part of the bubble at sufficiently high Mach numbers of the incident wave and detonation initiation as a result of wave refraction and focusing of secondary shock waves in the rear part of the bubble at lower Mach numbers. The detonation initiation mode is shown to depend significantly on both the shock wave intensity and the bubble shape. The elongation of the bubble leads to a decrease in the threshold Mach numbers: moderately in the axisymmetric case and significantly in the case of plane symmetry. The effect of focusing the shock wave allows achieving successful detonation initiation at a fundamentally lower intensity of the incident wave compared to direct initiation.

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REFERENCES

  1. N. Apazidis and V. Eliasson, Shock Focusing Phenomena (Springer, Switzerland, 2018).

    Google Scholar 

  2. P. Y. Georgievskiy, V. Levin, and O. Sutyrin, Shock Waves 25, 357 (2015).

    Article  ADS  Google Scholar 

  3. N. Haehn, D. Ranjan, C. Weber, J. Oakley, D. Rothamer, and R. Bonazza, Combust. Flame 159, 1339 (2012).

    Article  Google Scholar 

  4. F. Diegelmann, S. Hickel, and N. A. Adams, Combust. Flame 174, 85 (2016).

    Article  Google Scholar 

  5. F. Diegelmann, V. Tritschler, S. Hickel, and N. Adams, Combust. Flame 163, 414 (2016).

    Article  Google Scholar 

  6. P. Y. Georgievskiy, V. Levin, and O. Sutyrin, Tech. Phys. Lett. 45, 1209 (2019).

    Article  ADS  Google Scholar 

  7. V. Korobeinikov and V. Levin, Fluid Dyn. 4 (6), 30 (1969).

    Article  ADS  Google Scholar 

  8. A. Matsuo and T. Fujiwara, in Proceedings of the 26th Thermophysics Conference, 1991, p. 1414.

  9. G.-S. Jiang and C. W. Shu, J. Comput. Phys. 126, 202 (1996).

    Article  ADS  MathSciNet  Google Scholar 

  10. Z. He, L. Li, Y. Zhang, and B. Tian, Comput. Fluids 168, 190 (2018).

    Article  MathSciNet  Google Scholar 

  11. J.-F. Haas and B. Sturtevant, J. Fluid Mech. 181, 41 (1987).

    Article  ADS  Google Scholar 

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Funding

This work was carried out in accordance with the research plan of the Research Institute of Mechanics, Moscow State University, using the equipment of the Center for Shared Use of Ultra-High-Performance Computing Resources, Moscow State University, and was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075-15-2020-806.

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Authors and Affiliations

  1. Research Institute of Mechanics, Moscow State University, 119192, Moscow, Russia

    P. Yu. Georgievskiy & O. G. Sutyrin

Authors
  1. P. Yu. Georgievskiy
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  2. O. G. Sutyrin
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Correspondence to P. Yu. Georgievskiy or O. G. Sutyrin.

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Translated by A. Ivanov

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Georgievskiy, P.Y., Sutyrin, O.G. Detonation Initiation upon Interaction of a Shock Wave with a Combustible Gas Bubble. Dokl. Phys. 67, 74–79 (2022). https://doi.org/10.1134/S1028335822020057

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  • DOI: https://doi.org/10.1134/S1028335822020057

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