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Interaction of a Shock Wave with an Increased-Density Gas Bubble in the Neighborhood of the Wall

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Abstract—

The problem of the interaction of a shock wave with an increased-density gas bubble in the neighborhood of the wall is investigated on the basis of numerical simulation of Euler’s equations in the two-dimensional plane formulation. The process of shock wave refraction and focusing, namely, reflection of transverse shocks from the plane of symmetry of flow and the wall, is described. It is found that qualitatively different flow regimes, in which the wave is focused in the plane of symmetry before or after the beginning of wave reflection from the wall, can be implemented depending on the constitutive parameters of the problem. It is shown that the presence of a heavy bubble in the neighborhood of the wall strengthens multiply the pulse shock-wave loading on the wall. The maximum pressure reached on the wall is found as a function of the impinging wave Mach number, the bubble gas density, and the initial distance between the bubble and the wall. In some cases such a dependence is essentially nonmonotonic with respect to the bubble gas density and the distance between bubble and wall.

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ACKNOWLEDGMENTS

The work was carried out in the Institute of Mechanics of Lomonosov Moscow State University using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University with partial financial support from the Russian Federation President’s Council on grants (MK-3012.2019.1) and the Russian Foundation for Basic Research (project no. 18-01-00793).

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

    O. G. Sutyrin & R. R. Khabibullin

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  1. O. G. Sutyrin
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  2. R. R. Khabibullin
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Correspondence to O. G. Sutyrin.

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Translated by E.A. Pushkar

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Sutyrin, O.G., Khabibullin, R.R. Interaction of a Shock Wave with an Increased-Density Gas Bubble in the Neighborhood of the Wall. Fluid Dyn 56, 228–235 (2021). https://doi.org/10.1134/S0015462821020129

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  • DOI: https://doi.org/10.1134/S0015462821020129

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