Detonation of a Combustible Gas Mixture upon the Interaction of a Shock Wave with an Ellipsoidal Inert Gas Bubble

Georgievskiy, P.Y.; Sutyrin, O.G.

Авторы: Georgievskiy P.Y., Sutyrin O.G.
Журнал: Doklady Physics
Том: 68
Номер: 5
Год издания: 2023
Издательство: Maik Nauka/Interperiodica Publishing
Местоположение издательства: Russian Federation
Первая страница: 164
Последняя страница: 170
DOI: 10.1134/S1028335823050075
Аннотация: https://doi.org/10.1134/S1028335823050075 https://link.springer.com/article/10.1134/S1028335823050075 Received: 03 November 2022 Revised: 03 November 2022 Accepted: 05 December 2022 Published: 29 January 2024 Issue Date: May 2023 Abstract: The interaction of a shock wave in a combustible gas mixture with an ellipsoidal region of an inert gas of increased density is numerically simulated using the Euler equations in the two-dimensional plane and axisymmetric formulations. Four qualitatively different regimes of indirect initiation of detonation have been found: upon reflection of a wave from the gas interface, upon focusing of secondary transverse shock waves on the axis/plane of symmetry, upon amplification of a transverse wave converging to the axis of symmetry, and upon secondary focusing of waves in front of the bubble. It is shown that the mode of detonation initiation depends significantly on both the intensity of the shock wave and the shape of the bubble. Based on a series of simulations, the dependence of the threshold Mach numbers of the incident wave on the shape of the bubble is determined. In the plane flow, a moderate elongation of the bubble leads to a significant decrease in the threshold Mach number. In an axisymmetric flow, the lower threshold Mach number is less sensitive to the shape of the bubble, and the most effective detonation initiation is carried out using a spherical bubble. The effect of shock wave focusing makes it possible to achieve successful initiation of detonation at a fundamentally lower intensity of the incident wave compared to direct initiation. Acknowledgments: This work was carried out in accordance with the research plan of the Institute of Mechanics, Moscow State University, using the equipment of the Center for Collective Use of Ultra-High-Performance Computing Resources, Moscow State University. Funding: This work was supported by the Ministry of Science and Higher Education of the Russian Federation, project no. 075-15-2020-806.
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